Evaluate the following.
Write an exponential function of the form y = ab^x that has the given points
(−1,6 3/4), (2, 1-4)

Answers

Answer 1

The exponential function of the form y=ab^x that has the given points is y = 0.282 * (0.941)^x

Writing the exponential function

We can use the two given points to form a system of equations to solve for the coefficients a and b in the exponential function y = ab^x.

Plugging in the first point (-16, 3/4), we get:

3/4 = ab^(-16)

Plugging in the second point (2, 1/4), we get:

1/4 = ab^2

Divide the equations

b^18 = 1/3

Taking the 18th root of both sides, we get:

b = (1/3)^(1/18)

b = 0.941

Since we need to find an exponential function that passes through both given points, we'll choose the positive value for b, which gives:

b = 0.941

Substituting this value of b into either equation to solve for a, we get:

1/4 = a(0.941)^2

a = 1/[4 * (0.941)^2]

a = 0.282

So, the exponential function that passes through the points (-16, 3/4) and (2, 1/4) is: y = 0.282 * (0.941)^x

Read more about exponential function at

https://brainly.com/question/2456547

#SPJ1

Answer 2

The exponential expression y = - 3 · (- 4 / 9)ˣ contains the points (- 1,6 + 3 / 4) and (2, 1 - 4).

How to derive the exponential equation from two points

In this question we must derive an exponential expression of the form y = a · bˣ, where a, b are real constants, that contains the points (- 1,6 + 3 / 4) and (2, 1 - 4). This equation can be found as the number of points equals the number of real constants. Then, we must solve the following system:

6.75 = a · b⁻¹

- 3 = a · b²

First, we find b by dividing the second equation by the first equation:

- 3 / 6.75 = b

b = - 4 / 9

Second, we determine the value of a:

a = 6.75 · b

a = 6.75 · (- 4 / 9)

a = - 3

Third, write the resulting exponential equation:

y = - 3 · (- 4 / 9)ˣ

To learn more on exponential functions: https://brainly.com/question/14355665

#SPJ1


Related Questions

draw the reflection of the triangle across the y axis

Answers

Answer:

Image

Step-by-step explanation:

Solve the inequality.

–x – 2.2 < 1.8

Answers

Answer:

x > - 4

Step-by-step explanation:

- x - 2.2 < 1.8 ( add 2.2 to both sides )

- x < 4

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity

x > - 4

a graph used to show the relationship between two variables is called a(n) . multiple choice question. bell curve

Answers

The answer to this question is  Scatter plot

In circle A, marc BC is 61° and marc EF is 76°: Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 61 degrees, and the measure of arc EF is 76 degrees. What is m∠FDE? 30.5° 38° 76° 68.5°

Answers

The measure of angle FDE is 68.5°

the correct answer is an option (d)

Consider the following figure.

We know that whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.

Here, chords BE and FC cuts across the circle forming ∠FDE.

According to above statement, the measure of ∠FDE would be equal to the sum of the measurements of the arc BC and FE

⇒ m∠FDE = 1/2( Arc BC + Arc FE)

⇒ m∠FDE = 1/2 (61° + 76°)

⇒ m∠FDE = 137/2

⇒ m∠FDE = 68.5°

Therefore, the correct answer is an option (d)

Learn more about an angle here:

https://brainly.com/question/14569348

#SPJ4

Answer:

The measure of angle FDE is 68.5° (D)

Step-by-step explanation:

I TOOK THE TEST

Determine the measure of the exterior angle in the diagram

Answers

the measure of the exterior angle ECD is 140 degrees.

Answer:

110°

Step-by-step explanation:

The sum of the angles in a triangle is equal to 180°

So, 2x°+3x°+(3x+4)°=180°

8x°+4°=180°

8x°=180°- 4°

8x°=176°

x°=22°

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.

So, the exterior angle is 2x°+3x°=5x°

As we got x°=22°, then 5x°=5×22°=110°

a number g multiplied by 67

Answers

Answer:

67g

Step-by-step explanation:

the correct form of g multiplied by 67 is 67g

2. What value of k makes each equation an identity?

a. x² + 2x = (x + k)² − 1

please show your work

Answers

In the given problem, there are two values of k that make the equation an identity: k = -x + √(x² + 2) and k = -x - √(x² + 2).

How to Solve the Equation?

To make the equation x² + 2x = (x + k)² - 1 an identity, we need to find the value of k that makes both sides of the equation equal for all values of x.

First, we can expand the right-hand side of the equation using the square of a binomial formula:

(x + k)² - 1 = x² + 2xk + k² - 1

Now we can set this expression equal to the left-hand side of the equation and simplify:

x² + 2xk + k² - 1 = x² + 2x

Subtracting x² and 2x from both sides, we get:

2xk + k² - 1 = 0

Adding 1 to both sides, we get:

2xk + k² = 1

Now we can solve for k by using the quadratic formula:

k = (-2x ± √(4x² + 8))/2

Simplifying the expression under the square root:

k = (-2x ± 2√(x² + 2))/2

k = -x ± √(x² + 2)

So, there are two values of k that make the equation an identity:

k = -x + √(x² + 2)

and

k = -x - √(x² + 2)

Learn more about equation here: https://brainly.com/question/17954964

#SPJ1

Joe solved the equation 3+x/2=10 and justified each step as shown.
Explain in words Joe’s error and fix his mistake.
Step Justification
3+x/2=10 Given equation
x/2=7 Multiplication Property of Equality
x = 14 Subtraction Property of Equality

Answers

The correct solution for the given equation is x = 17.

What is distributive property?

The distributive property is a mathematical property that relates multiplication and addition or subtraction. It states that multiplying a number by a sum (or difference) is equivalent to multiplying the number by each term of the sum (or difference) and then adding (or subtracting) the results.

According to question:

Joe's error is due to not using the order of operations correctly. In step 2, he did not use parentheses to isolate the x term before dividing by 2. Instead, he divided both 3 and x by 2, resulting in x/2 = 7.

To fix Joe's mistake, we need to apply the distributive property by adding parentheses around the numerator of the left-hand side of the equation, like this:

(3 + x)/2 = 10

Then we can multiply both sides by 2 to eliminate the fraction:

3 + x = 20

Finally, we can solve for x by subtracting 3 from both sides:

x = 17

Therefore, the correct solution is x = 17.

To know more about distributive property visit:

https://brainly.com/question/5637942

#SPJ1

identify the expression in which the initial value of the day variable will be set to match the first day of the calendar month.

Answers

The expression to set the initial value of the 'day' variable to match the first day of the calendar month is:
day = 1
This simple expression assigns the initial value of 1 to the 'day' variable, representing the first day of any calendar month.

As the days progress, you can update the 'day' variable accordingly to represent the current day of the month.

The initial value of the 'day' variable to match the first day of the calendar month, using terms such as expression, initial value, variable, and calendar month.
Expression:

An expression is a combination of variables, constants, and operators that represent a particular value or calculation.

In this case, we want an expression that sets the 'day' variable to the first day of the calendar month.
Initial Value:

The initial value is the starting value assigned to a variable.

The 'day' variable, we need to set its initial value to 1, as the first day of any calendar month is always represented by the number 1.
Variable:

A variable is a symbolic name that represents a value that can change.

In this context, the 'day' variable will represent the days in a calendar month, and we need to set its initial value to match the first day of the month.
Calendar Month:

A calendar month is a period of time that starts on the first day of a month and ends on the last day of the same month. Examples include January, February, March, etc.

For similar questions on Variable

https://brainly.com/question/28248724

#SPJ11

onsider a partial output from a cost minimization problem that has been solved to optimality. Final Shadow Constraint Allowable Allowable Name Value Price R.H. Side Increase Decrease Labor Time 700 700 100 200 The Labor Time constraint is a resource availability constraint. What will happen to the dual value (shadow price) if the right-hand-side for this constraint decreases to 400? The Labor Time constraint is a resource availability constraint. What will happen to the dual value (shadow price) if the right-hand-side for this constraint decreases to 400? O It will remain at -6. It will become a less negative number, such as -4. It will become zero. O It will become a more negative number, such as -8. . It will become zero or less negative.

Answers

If the right-hand-side for the Labor Time constraint decreases to 400, the dual value (shadow price) will become a more negative number, such as -8.

This is because the constraint is tighter, and the reduced availability of labor time will make the resource more valuable in the cost minimization problem. The new allowable increase in the right-hand-side will be smaller and the allowable decrease will be larger, reflecting the increased importance of meeting the resource constraint. This is because the decrease in resource availability means that the value of an additional unit of that resource has increased, leading to a higher cost of not having enough of it.

To learn more about Labor Time constraint visit;

https://brainly.com/question/31321302

#SPJ11

call a positive integer monotonous if it is a one-digit number or its digits, when read from left to right, form either a strictly increasing or a strictly decreasing sequence. for example, 3, 23578, and 987620 are monotonous, but 88, 7434, and 23557 are not. how many monotonous positive integers are there?

Answers

The total number of monotonous positive integers either a strictly increasing or a strictly decreasing sequence is equal to 90.

Let us consider the cases of monotonous numbers with increasing digits and monotonous numbers with decreasing digits separately.

For a monotonous number with increasing digits, we can start with any digit from 1 to 9, and for each subsequent digit.

Choose any number from the set of remaining digits.

For example, if we start with 1, we have 8 choices for the second digit, 7 choices for the third digit, and so on.

Until we have only one choice left for the last digit.

There are a total of 9 + 8 + 7 + ... + 1 = 45 monotonous numbers with increasing digits.

For a monotonous number with decreasing digits, we can start with any digit from 9 to 1, and for each subsequent digit.

Choose any number from the set of remaining digits that is smaller than the previous digit.

For example, if we start with 9, we have only one choice for the second digit 8, one choice for the third digit 7, and so on.

Until we have only one choice left for the last digit.

There are a total of 9 + 8 + 7 + ... + 1 = 45 monotonous numbers with decreasing digits.

The number 0 cannot be the first digit of a monotonous number with increasing digits, because it is not a positive integer.

No need to consider this case separately.

Therefore, the total number of monotonous positive integers is 45 + 45 = 90.

learn more about integer here

brainly.com/question/31310988

#SPJ4

Can someone help me pls!!!

Answers

Answer: Yes

Step-by-step explanation: SSS criteria

a regular hexagon has an apothem of 10 units. a. find the radius of the hexagon and the length of one side. b. find the area of the hexagon

Answers

In the hexagon,

a) side length = 11.56 unit , radius = 11.56 unit.

b) Area = 346.8 square unit.

What is area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Here the given hexagon apothem a= 10 units.

We know that central angle = 360° and number of sides n=6

Then apothem bisect the angle. Then, [tex]\theta = \frac{360}{12}=30\textdegree[/tex]

Now using cosine ratio then cos30° = [tex]\frac{a}{radius} = \frac{10}{radius}[/tex]

=> radius = [tex]\frac{10}{cos30\textdegree}[/tex] = 11.56 unit.

Now using sine ratio then,

=> sin30° = [tex]\frac{\frac{s}{2}}{radius}[/tex]

=> s = sin 30°× 2radius  = 11.56  unit

Now using area formula then,

Area A = [tex]\frac{1}{2}aP[/tex]

=> A = [tex]\frac{1}{2}\times10\times6\times11.56[/tex]

=> A = 346.8 square unit.

To learn more about area refer the below link

https://brainly.com/question/20110859

#SPJ1

Find the requested information for the functions.

Answers

From the plot we deduce that

x intercept = 0

y intercept = 0

Domain = all real numbers

Range = all real numbers

Transformations

vertical stretchTranslation to the right 8 unitsTranslation up 4 units

How to find the transformation

The transformation for the function

y = 2(x - 8)^1/3 + 4

Shows a movement from the parent function y = x^1/3

(x - 8)^1/3  represents translation 8 units to the right

(x - 8)^1/3 + 4  represents translation 4 units upwards

2(x - 8)^1/3 + 4  represents vertical stretch by a factor of 2

Learn more about transformation at

https://brainly.com/question/4289712

#SPJ1

Quick! Complete the statements. 8. 703 dekagrams = kilograms 100. 3 = 10. 03 hectometers 909. 9 = 90,990 centiliters

Answers

After completing the given statements, we have:

8.703 dekagrams = 0.08703 kilograms

100.3 meters = 10.03 hectometers

909.9 liters = 90,990 centiliters

To convert between units of measurement, we need to use conversion factors that relate the two units. These conversion factors can be derived from the definition of the units and the relationships between them.

In the first statement, we are asked to convert 8.703 dekagrams to kilograms. To do this, we use the conversion factor that 1 kilogram is equal to 1000 grams and 1 dekagram is equal to 10 grams. Thus, we have:

8.703 dekagrams = 8.703 * (10 grams/1 dekagram) * (1 kilogram/1000 grams) = 0.08703 kilograms

Therefore, 8.703 dekagrams is equivalent to 0.08703 kilograms.

In the second statement, we are asked to determine what value of 100.3, when multiplied by a conversion factor, equals 10.03 hectometers. To do this, we need to use the conversion factor that 1 hectometer is equal to 100 meters. Thus, we have:

100.3 * (100 meters/1 hectometer) = 10030 meters = 10.03 hectometers

Therefore, the value of 100.3 that, when multiplied by the conversion factor, equals 10.03 hectometers is 100.3 meters.

In the third statement, we are asked to convert 909.9 to centiliters. To do this, we use the conversion factor that 1 liter is equal to 100 centiliters. Thus, we have:

909.9 liters = 909.9 * (100 centiliters/1 liter) = 90,990 centiliters

Therefore, 909.9 liters is equivalent to 90,990 centiliters.

To learn more about measurement click on,

https://brainly.com/question/17669206

#SPJ4

Complete question is:

Complete the statements.

8.703 dekagrams =_____    kilograms

100.3   _____= 10.03 hectometers

909.9  _____= 90,990 centiliters

Hi I’m in fourth grade and I need help about angles can you please help me

Answers

Answer:pl z give me brainliest the crown next to the stars when two people answer :) have a good day ;)

Step-by-step explanation:

hope this helped

1. Fifteen boys and 15 girls were in Mr. Huff's English class third period. David says the
ratio 1:2 describes the students in Mr. Huff's class. Al says the ratio 1:1 describes
the students in Mr. Huff's class. Explain how both students can be correct.

Answers

David's ratio of 1:2 is correct if we are considering the ratio of boys to girls. Al's ratio of 1:1 is correct if we are considering the ratio of boys to the total number of students in the class.

What is ratio?

A ratio is a comparison of two quantities that have the same unit of measure. It is a way of expressing the relative sizes of two or more values, often as a fraction or with a colon between the values. Ratios are used in many areas of mathematics and science, as well as in everyday life. They can be used to compare measurements such as distance, speed, and weight, as well as to express probabilities and percentages. Ratios can also be used to simplify complex problems and make them easier to understand.

Here,

David says the ratio of boys to girls in Mr. Huff's class is 1:2. This means that there is one boy for every two girls. If there are 15 girls in the class, then there must be 30 boys (since 2 x 15 = 30). So the total number of students in the class is 15 + 30 = 45.

Al says the ratio of boys to girls in Mr. Huff's class is 1:1. This means that there is one boy for every one girl. If there are 15 girls in the class, then there must be 15 boys as well. So the total number of students in the class is 15 + 15 = 30.

To know more about ratio,

https://brainly.com/question/29467965

#SPJ1

Solve the trigonometric equation for all values -5 sinπ/3x=0

Answers

The solutions to the equation sin(πx/3) = 0 in the interval -5 < x < 5 are x = -3, 0, and 3.

What is Trigonometric equation?

A trigonometric equation is an equation that involves trigonometric functions such as sine, cosine, tangent, or their inverses. Trigonometric equations arise in a variety of mathematical and scientific contexts, from solving geometric problems involving angles and triangles to modeling periodic phenomena in physics, engineering, and other fields.

Solving a trigonometric equation typically involves finding the values of the unknown variable that satisfy the equation within a certain interval. For example, the equation sin(x) = 0 has infinitely many solutions, but if we restrict the interval to [0, 2π], then the solutions are x = 0, π, 2π, which correspond to the x-intercepts of the sine function in that interval.

Here the equation sin(πx/3) = 0 has solutions whenever πx/3 is an integer multiple of π, since the sine function is zero at these values. Thus, we need to find all integers n such that πx/3 = nπ, or equivalently x = 3n for some integer n.

Since -5 < x < 5, we need to find all integers n such that -5 < 3n < 5. Dividing all sides by 3, we get -5/3 < n < 5/3. The only integers in this range are -1, 0, and 1. Therefore, the solutions to the equation sin(πx/3) = 0 in the interval -5 < x < 5 are x = -3, 0, and 3.

Learn more about trigonometric equation here,

https://brainly.com/question/24349828

#SPJ1

please read the phtot/picture its worth 18 ponits please help its worth 89 percent of my grade

Answers

2(4/3) represents the shaded area in the diagram as two rectangles of equal size, each with a length of 4 units and a width of 2/3 units.

4 * 2/3 represents the shaded area in the diagram as a rectangle with a length of 4 units and a width of 2/3 units.

4 * 2 * 1/3 represents the shaded area in the diagram as a rectangle with a length of 4 units, a width of 2 units, and a smaller rectangle with a length of 1 unit and a width of 1/3 units.

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

a. The diagram shows 3/5 by dividing the whole rectangle into 5 equal parts horizontally and shading 3 of those parts. This means that the shaded portion represents 3 out of 5 equal parts.

b. The diagram shows 3 * 1/5 by shading one-fifth of the rectangle, and then repeating this process three times. This means that the shaded portion represents three times one-fifth of the whole.

c. The value of 3/5 is equivalent to 0.6 or 60%. This means that if we divide a whole into 5 equal parts, and take 3 of those parts, we have 60% of the whole.

a. The expression 2(4/3) represents the shaded parts of the diagram by first finding the area of one shaded rectangle, which is 4/3. Then, we multiply this area by 2 because there are two shaded rectangles in the diagram. Therefore, 2(4/3) gives us the total shaded area.

b. The expression 4 * 2/3 represents the shaded parts of the diagram by multiplying the width of the shaded rectangle (2 units) by its height (2/3 units), and then multiplying that by the number of shaded rectangles (4). Therefore, 4 * 2/3 gives us the total shaded area.

c. The expression 4 * 2 * 1/3 represents the shaded parts of the diagram by multiplying the length of the shaded rectangle (4 units) by its width (2 units) by its height (1/3 units), and then multiplying that by the number of shaded rectangles (4). Therefore, 4 * 2 * 1/3 gives us the total shaded area.

Hence, 2(4/3) represents the shaded area in the diagram as two rectangles of equal size, each with a length of 4 units and a width of 2/3 units.

4 * 2/3 represents the shaded area in the diagram as a rectangle with a length of 4 units and a width of 2/3 units.

4 * 2 * 1/3 represents the shaded area in the diagram as a rectangle with a length of 4 units, a width of 2 units, and a smaller rectangle with a length of 1 unit and a width of 1/3 units.

To learn more about the area of the rectangle visit:

brainly.com/question/2607596

#SPJ1

Is 99.04 greater than 99.040

Answers

They are both equal because if you look at it the four is in the same spot so there for if you see 0.40 it is the same as 0.4 because they don’t want to add the extra 0

A pistol is accidently discharged vertically in the air. The height, h, of the bullet at time t seconds is recorded in the table below. Using an equation to model the data, find the height of the pistol after 10 seconds.

t (sec)
0
1
2
3
4
h (ft)
3
187
339
459
547

Answers

The height of the pistol after 10 seconds is 783 feet.

How to  find the height of the pistol after 10 seconds.

We can use the method of finite differences to find the degree of the polynomial function that models the data. The first differences are:

3, 18, 37, 56, 72

The second differences are:

15, 19, 19, 16

Since the second differences are constant, we know that the function that models the data is a quadratic function of the form:

h(t) = at² + bt + c

where a, b, and c are constants to be determined.

To find a, we can use the fact that the coefficient of t² in the quadratic function is equal to half of the second difference. Thus, we have:

a = 1/2(15) = 7.5

To find b, we can use the fact that the coefficient of t in the quadratic function is equal to the first difference minus twice the coefficient of t². Thus, we have:

b = 18 - 2(7.5) = 3

To find c, we can use the fact that the constant term in the quadratic function is equal to the value of h(0). Thus, we have:

c = h(0) = 3

Therefore, the equation that models the data is:

h(t) = 7.5t² + 3t + 3

To find the height of the pistol after 10 seconds, we can substitute t = 10 into the equation:

h(10) = 7.5(10)² + 3(10) + 3

h(10) = 750 + 30 + 3

h(10) = 783

Thus, the height of the pistol after 10 seconds is 783 feet.

Learn more about polynomial function at https://brainly.com/question/2833285

#SPJ1

a plane travels 600 from salt lake city, utah, to oakland, california, with a prevailing wind of 30. the return trip against the wind takes longer. find the average speed of the plane in still air.

Answers

the average speed of the plane in still air is s + 30.

Let's call the average speed of the plane in still air "s" (in miles per hour).

We can use the formula:

time = distance / speed

to find the time it takes the plane to travel from Salt Lake City to Oakland with the wind and against the wind.

With the wind:

time with wind = [tex]600 / (s + 30)[/tex]

Against the wind:

time against wind =[tex]600 / (s - 30)[/tex]

time against wind > time with wind

So we can set up an inequality:

[tex]600 / (s - 30) > 600 / (s + 30)[/tex]

Multiplying both sides by [tex](s - 30)(s + 30)[/tex], we get:

[tex]600(s + 30) > 600(s - 30)[/tex]

Expanding and simplifying, we get:

[tex]600s + 18000 > 600s - 18000[/tex]

Subtracting 600s from both sides, we get:

[tex]18000 > -18000[/tex]

This inequality is true for all values of s. In other words, there are no restrictions on the value of s that would make the return trip take longer than the trip with the wind.

Therefore, we can use the average of the two speeds (with and against the wind) to find the average speed of the plane in still air:

Average speed = [tex]2s(s + 30) / (s + 30 + s - 30)[/tex]

Simplifying, we get:

Average speed = [tex]2s(s + 30) / (2s)[/tex]

Canceling the common factor of 2s, we get:

Average speed = s + 30

We know that the distance from Salt Lake City to Oakland is 600 miles, and we can use the formula:

time = distance / speed

to find the time it takes the plane to travel this distance:

time = [tex]600 / (s + 30)[/tex]

We also know that the return trip (against the wind) takes longer, so we can set up another equation:

time return trip =[tex]600 / (s - 30)[/tex]

We can use these two equations to solve for s:

[tex]600 / (s + 30) = 600 / (s - 30)[/tex]

Cross-multiplying, we get:

[tex]600(s - 30) = 600(s + 30)[/tex]

Expanding and simplifying, we get:

[tex]600s - 18000 = 600s + 18000[/tex]

Subtracting 600s from both sides, we get:

[tex]-18000 = 18000[/tex]

This is not a valid equation, so there must be no solution.

However, we can still find the average speed of the plane in still air by using the equation we derived earlier:

Average speed = s + 30

So the average speed of the plane in still air is s + 30. We don't have a specific value for s, but we can say that the average speed is equal to the speed with the wind plus 30 (which is the speed of the wind).

for such more questions on average speed

https://brainly.com/question/4931057

#SPJ11

for 105 consecutive days, a process engineer has measured the temperature of champagne bottles as they are made ready for serving. each day, she took a sample of 9 bottles. the average across all 945 bottles (105 days, 9 bottles per day) was 52 degrees fahrenheit. the standard deviation across all bottles was .9 degrees fahrenheit. when constructing an x-bar chart, what would be the upper control limit?

Answers

The upper control limit for the x-bar chart for the temperature of champagne bottles is 52.243 degrees Fahrenheit for standard deviation.

To find the upper control limit for an x-bar chart, we use the formula:

Upper Control Limit = X-bar + A2 * (standard deviation / [tex]\sqrt{(sample size)}[/tex])

Where X-bar is the average temperature across all bottles (52 degrees Fahrenheit), A2 is a constant factor based on the sample size (for a sample size of 9, A2 is 0.729), and the standard deviation is 0.9 degrees Fahrenheit.

Plugging in these values, we get:

Upper Control Limit = 52 + 0.729 * (0.9 / [tex]\sqrt{9}[/tex])
Upper Control Limit = 52 + 0.243
Upper Control Limit = 52.243 degrees Fahrenheit

Therefore, the upper control limit for the x-bar chart for the temperature of champagne bottles is 52.243 degrees Fahrenheit. This means that if any sample of 9 bottles has an average temperature above this limit, it may indicate a problem with the process that needs to be addressed.

Learn more about standard deviation here:

https://brainly.com/question/29949827

#SPJ11

The upper control limit (UCL) for the X-bar chart is 52.9 degrees Fahrenheit.

We will use the following terms to find the upper control limit (UCL) for an X-bar chart:
Average temperature (µ) = 52 degrees Fahrenheit
Standard deviation (σ) = 0.9 degrees Fahrenheit.

Sample size (n) = 9 bottles
Number of days (m) = 105 days.

To find the UCL, we first need to find the standard error (SE) using the formula:
SE = σ / √n
Substitute the given values into the formula:
SE = 0.9 / √9 = 0.9 / 3 = 0.3 degrees Fahrenheit
Now we'll use the control chart formula to find the UCL, which is:
UCL = µ + 3 * SE
Substitute the values:
UCL = 52 + 3 * 0.3 = 52 + 0.9 = 52.9 degrees Fahrenheit.

For similar question on error.

https://brainly.com/question/1191244

#SPJ11

how many positive integers less than 100 are neither multiples of 2 nor multiples of 3 ? 30 31 32 33 34

Answers

Positive integers less than 100 that are neither multiples of 2 nor multiples of 3 are 33. Option (d)

How to count the number of integers that are not multiples of 2 or 3?

To solve this problem, we can use the principle of inclusion-exclusion.

There are a total of 99 positive integers less than 100 (from 1 to 99, inclusive).

We want to count the number of integers that are not multiples of 2 or 3.

The number of integers that are multiples of 2 is 49 (from 2 to 98, inclusive, with a common difference of 2).

The number of integers that are multiples of 3 is 33 (from 3 to 99, inclusive, with a common difference of 3).

However, we have double-counted the integers that are multiples of both 2 and 3 (i.e., multiples of 6). There are 16 such integers (from 6 to 96, inclusive, with a common difference of 6).

Therefore, the number of integers that are not multiples of 2 or 3 is:

99 - (49 + 33 - 16) = 83

So there are 83 positive integers less than 100 that are neither multiples of 2 nor multiples of 3.

Therefore, the answer is (d) 33.

Learn more about inclusion-exclusion principal

brainly.com/question/30271591

#SPJ11

consider the following data set when answering questions 9-12. in a study of jury behavior, participants were provided details about a trial in which the defendant was obviously guilty. although group 2 was told the same details as group 1, they were also told that some evidence had been withheld from the jury by the judge. later the participants were asked to recommend a jail sentence in years. the length of sentence suggested by each participant is presented below. group 1 scores: 4 4 3 2 5 1 1 4 group 2 scores: 3 7 8 5 4 7 6 8 what is the null hypothesis for this test? the groups will differ in their suggested sentences the second group will have a longer mean sentence than group one the second group will have a shorter mean sentence than group one the 2 groups will not differ in terms of their suggested sentences

Answers

The null hypothesis for this test is that the 2 groups will not differ in terms of their suggested sentences.

The null hypothesis is a statement that there is no difference between the two populations or variables being tested.

It can be thought of as the "default" position, which assumes that any observed difference is due to chance.

The null hypothesis is usually written in a way that it can be tested and rejected or not rejected through statistical analysis.

The null hypothesis for this test is that the two groups will not differ in terms of their suggested sentences.

This means that any difference between the groups in their suggested sentences is due to chance and not a difference in the population or variables being tested.

This hypothesis can be tested and rejected or not rejected through statistical analysis.

If the two groups do differ in their suggested sentences then the null hypothesis will be rejected and it will be concluded that the difference is not due to chance but rather due to a difference in the population or variables being tested.

For similar question on hypothesis:

https://brainly.com/question/6984941

#SPJ11

The dot plot shows how many hours this week students in the band practiced their instruments.
How many observations were used for the dot plot?

Answers

From the dot plot we can count a total of 15 dots, which means that there were 15 observations of the number of hours the students in the band practiced their instruments during the week represented by the dot plot.

What is dot plot?

The distribution of a dataset is shown using a particular type of graph called a dot plot.

It is also referred to as a scatterplot, dot graph, and dot chart.

Each data point in a dot plot is represented by a dot that is positioned above a number line.

Each dot on the number line represents the frequency or count of the corresponding value, and the number line itself represents the range of values in the dataset.

To determine the number of observations used for the dot plot, we need to count the number of dots on the plot.

To know more about graph visit:

https://brainly.com/question/12277809

#SPJ1

The height of another frog over time is modeled by the function y= -16t^2 + 10t +0.3. How many seconds is this frog in the air before landing on the ground? Round your answer to the nearest hundredth.




please answer quickly

Answers

Step-by-step explanation:

y will equal 0 when the frog hits on the ground after being in the air:

0 = -16t^2 + 10 t + 0.3

 Use quadratic formula with   a = -16       b = 10       c = 0.3

     to find t = .65 seconds

Approximate the volume of a sphere with a radius of 7 feet, both in terms of pie and to the nearest tenth.

Answers

The volume of the sphere with a radius of 7 feet is therefore 1436.8 cubic feet when expressed in terms of pi and rounded to the closest tenth (or about 1436.76 cubic feet).

what is volume ?

The volume of such a three-dimensional object is the amount of space it takes up in algebra and geometry. It is a description of an object's capacity and, depending on the situation, may be stated in terms of cubic metres, cubic centimetres, litres, or gallons. A cube's volume, for instance, can be determined by adding up its length, width, and height. An equation for calculating a cube's volume is: V = l × w × h where V indicates for volume, l for length, w for width, and h for height.

given

The following equation determines a sphere's volume:

[tex]V = (4/3)\pi r^3[/tex]

where r denotes the sphere's radius.

If we substitute r = 7 feet, we obtain:

[tex]V = (4/3)\pi (7 feet)^3[/tex]

Using V, 1436.76 cubic feet (3.14159)

To the nearest tenth, we round and obtain:

1436.8 cubic feet equals V.

The volume of the sphere with a radius of 7 feet is therefore 1436.8 cubic feet when expressed in terms of pi and rounded to the closest tenth (or about 1436.76 cubic feet).

To know more about volume visit :-

https://brainly.com/question/1578538

#SPJ1

Chase is moving and must rent a truck. There is an initial charge of $35 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Chase were to drive m miles.

Answers

The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

What is the equation?

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

The equation would be:

C is the total cost and m is the miles driven.

We know that:
Charge of the truck: $35

Charge per mile: $2.50

Then, form the equation as follows:

C = 35 + 2.50m

Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

Find the length of the radius.
r =

Answers

The radius of the circle with the given chord length is: radius = 7.25

How to find the radius of the circle when given the chord length?

The Radius of a Circle based on the Chord and Arc Height helps us to computes the radius based on the chord length (L) and height (h).

The formula for the radius of a circle based on the length of a chord and the height is:

r = (L²/8h) + (h/2)

where:

r is the radius of a circle

L is the length of the chord.  This is the straight line length connecting any two points on a circle.

h is the height above the chord.  This is the greatest distance from a point on the circle and the chord line.

We are given:

L = 5 + 5 = 10

h = 2

Thus:

r = (10²/8(2)) + (2/2)

r = 6.25 + 1

r = 7.25

Read more about radius at: https://brainly.com/question/30804688

#SPJ1

Other Questions
.The method of completing the square can be used to transform the equation x - 6x + 8 = 0 into the form (x-p) = q A mutual fund that emphasizes well-balanced return of income and long-term capital gains is a ____ fund. Garlan makes a commission based upon the value of all he sells at his new job. For example in 30 minutes of his first workday, he earned $15 in commission for selling $150 worth of shoes. Sky attempted to score a goal five times. For each attempt, she was equally likely to make a goal or miss. What is the probability that Sky scored at least two goals? Express your answer as a common fraction. As of January 1, 2014, an employer with up to 25 full time equivalent (FTE's) with average annual wages of less than $50,000 may be eligible for a tax credit of ___ of the premiums paid by the employer.30%40%50%60% DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 POINTSStudents in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as strict. They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of students.1. Describe the parameter of interest and a statistic the students could use to estimate the parameter.2. Is the best design for this study a sample survey, an experiment, or an observational study? Explain your reasoning.3. The students quickly realized that, as there is no definition of strict, they could not simply ask a student, Are your parents or guardians strict? Write three questions that could provide objective data related to strictness.4. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in question 1. Carnes Cosmetics Co.'s stock price is $55, and it recently paid a $1.so dividend. This dividend is expected to grow by 21% for the next 3 years, then grow forever at a constant rate, 9; and ts - 14%. At what constant rate is the stock expected to grow after Year 3? Do not round intermediate calculations. Round your answer to two decimal places. people in japan generally hold the view that the group is more important that any individual in it. this is known as . a. diversity b. groupthink c. individualism d. ethnocentrism e. collectivism A counter in Adriana's kitchen is 1 meter wide and 3 meters long. Adriana wants to replace the counter with a granite countertop, which would cost $261.00 per square meter. How much would the granite countertop cost? According to your text, the key to solving the Wason four-card problem is. A. a mental model. B. a categorical syllogism. C. the law of large numbers. Please help me!! Due tomorrow if we used 8.7 g sunflower oil and recover 7.8 g fames, what is the approximate number of grams of linoleic acid methyl ester generated from this reaction? report your answer to the nearest tenth of a gram does the joule-thomson coefficient of a substance change with temperature at a fixed pressure? mike's father is very harsh and punishes him when he gets poor grades, then tells mike he has to figure out on his own how to improve. mike is continuing to struggle in school. what parenting style does his father exhibit? question 3 options: a) uninvolved b) permissive c) authoritative d) authoritarian The Dies irae section of Mozart's Requiem is a rhymed Latin poem. Select one: True False. can you identify the different ways in which populations grow? to review types of population growth, watch this bioflix animation: population ecology. if two brothers were killed in a plane crash, would it be possible to determine the identities of the remains based on mtdna? a student claims that the gravitational force between two objects depends upon the mass of the objects and the distance between them. which argument best supports the student's claim? responses if the distance between two objects decreases, the gravitational force between the objects will not change if the distance between two objects decreases, the gravitational force between the objects will not change if the distance between two objects increases, the gravitational force between the objects will decrease. if the distance between two objects increases, the gravitational force between the objects will decrease. if the distance between two objects increases, the gravitational force between the objects will increase. if the distance between two objects increases, the gravitational force between the objects will increase. if the distance between two objects decreases, the gravitational force between the objects will disappear. children of immigrants are less likely than their u.s.-born peers to question 38 options: attend religious services regularly. live in a two-parent household. have a parent with a secure job. earn a college degree. suffer from chronic illnesses. Find the value of x and y