During a lab experiment, the temperature of a liquid changes from 625°F to 1034°F.


What is the percent of increase in the temperature of the liquid?


Enter your answer in the box as a percent rounded to the nearest hundredth

The range for the scores is 1.0 (from 9.9 to 8.9). The range is the difference between the highest and lowest numbers in a set of numbers. In this case, the highest score is 9.9 and the lowest score is 8.9, so the range is 1.0.

In mathematics, the range of a function can refer to one of two similar terms:

the common area of ​​the function

The image of the function

Given two groups X and Y, the binary relation f between X and Y is a (exact) function (X to Y), if there is a y in Y for every x in X, so f is associated with y. The sets X and Y are called the area of ​​f and the common domain, respectively.

The range is a measure of dispersion in a set of numbers. To find the range, you need to subtract the lowest score from the highest score. In this case, the scores for the Olympic gymnast are: 9.9, 9.8, 9.6, 9.5, 9.7, 9.1, 8.9, and 9.8.

First, identify the highest and lowest scores:
Highest score: 9.9
Lowest score: 8.9

Next, subtract the lowest score from the highest score:
Range = 9.9 - 8.9

The range for the scores is 1.0 (9.9 to 8.9).

Your answer: 1.0 (9.9 to 8.9)

Learn more about Range:

brainly.com/question/28135761

#SPJ11

To calculate how much jewelry you would need to sell for option A to produce a larger income than option B, you need to set up an equation. Let's call the amount of jewelry sold "x".

Option A:

Base salary = $19,000
Commission = 12% of sales

Total income = $19,000 + 0.12x

Option B:

Base salary = $28,000
Commission = 8% of sales

Total income = $28,000 + 0.08x

To find out when option A produces a larger income than option B, we need to set the two equations equal to each other and solve for x:

$19,000 + 0.12x = $28,000 + 0.08x

0.04x = $9,000

x = $225,000

So, you would need to sell $225,000 worth of jewelry for option A to produce a larger income than option B.

larger incomehttps://brainly.com/question/13585377

#SPJ11

The students are most likely studying percentages or proportions related to the data being represented in the circle graph.

To know the students most likely to study:

The group of students are most likely studying a circle graph that represents data using sectors labeled with numbers and symbols.

This type of graph is commonly used to show proportions or percentages of a whole.

Therefore, the students are most likely studying percentages or proportions related to the data being represented in the circle graph.

The options "frequency distribution" and "bar graph" are less likely to be studied in this context as they are different types of graphs that represent data differently.

To know about Graphs:

https://brainly.com/question/17267403

#SPJ11

The polynomial that models the data is:

B. C(x) = 0.0034x^4 - 0.167x^3 + 2.76x^2 - 16.91x + 38.87

With seven data points at our disposal, it is possible to utilize a polynomial of degree six, which can precisely represent the given data.

However, using a simpler model could be advantageous when applied to other datasets.

The provided information can be utilized to formulate a system of equations using a fourth-degree polynomial. The following data will serve as each equation:

• At x=6: the output value is 3.88,

• At x=8: the output value is 6.48,

• At x=10: the output value is 9.37

• At x=12: the output value is 10.42,

• At x=14: the output value is 8.79,

• At x=16: the output value is 4.96,

• At x=18: the output value is 0.69,

The problem's solution can be attained through utilizing matrix algebra.

a = 0.0034,

b = -0.167,

c = 2.76,

d = -16.91,

e = 38.87

This results in the following expression that represents the data:

C(x) = 0.0034x^4 - 0.167x^3 + 2.76x^2 - 16.91x + 38.87

Read more about polynomials here:

https://brainly.com/question/1496352

#SPJ1

To solve for x and y in this problem, we need to use the formulas for arithmetic and geometric sequences.

For the arithmetic sequence, we know that the difference between each term is the same. Let's call this difference "d". So we have:

-8 + d = x
x + d = y
y + d = 72

For the geometric sequence, we know that the ratio between each term is the same. Let's call this ratio "r". So we have:

x * r = y
y * r = 72

Now we can use these equations to solve for x and y.

First, we'll use the arithmetic sequence equations to find the value of "d". We can subtract the first equation from the second equation to get:

d = y - x

We can then substitute this into the third equation to get:

y + (y - x) = 72

Simplifying this, we get:

2y - x = 72

Now we can use the geometric sequence equations to find the value of "r". We can divide the second equation by the first equation to get:

r = y/x

We can then substitute this into the first equation to get:

x * (y/x) = y

Simplifying this, we get:

y = x^2

Now we have two equations for "y", so we can substitute one into the other to get an equation in terms of "x" only:

2x^2 - x = 72

Solving this quadratic equation, we get:

x = -8 or x = 9

We can then substitute each of these values back into the equation y = x^2 to get:

y = 64 or y = 81

So the solutions are:

x = -8, y = 64
x = 9, y = 81

Therefore, the first three terms of the sequence are -8, -8+17=9, 9+17=26 and the second, third, and fourth terms are 9, 26, 72.
In an arithmetic sequence, the difference between consecutive terms is constant. In a geometric sequence, the ratio between consecutive terms is constant.

Given the arithmetic sequence: -8, x, y, the difference between consecutive terms is constant, so we can say that x - (-8) = y - x. Simplifying, we get x + 8 = y - x, and then 2x = y - 8 (Equation 1).

Now, considering the geometric sequence: x, y, 72, the ratio between consecutive terms is constant. Therefore, y/x = 72/y. By cross-multiplying, we obtain y^2 = 72x (Equation 2).

To determine x and y, we can solve this system of equations. Using Equation 1, y = 2x + 8. Substitute this expression for y in Equation 2:

(2x + 8)^2 = 72x
4x^2 + 32x + 64 = 72x
4x^2 - 40x + 64 = 0
x^2 - 10x + 16 = 0
(x - 8)(x - 2) = 0

From this quadratic equation, we have two possible values for x: x = 8 or x = 2.

If x = 8, then y = 2x + 8 = 24. This would result in the geometric sequence 8, 24, 72, which has a constant ratio of 3.

If x = 2, then y = 2x + 8 = 12. This would result in the geometric sequence 2, 12, 72, which has a constant ratio of 6.

Both solutions are valid, so we have two possible sets of values for x and y: x = 8, y = 24 or x = 2, y = 12.

Learn more about geometric at : brainly.com/question/11266123

#SPJ11

The solutions for x and y are: 1. x = 2, y = 12 and

2. x = 8, y = 24

To determine the values of x and y in the sequence -8, x, y, 72, analyze the information given.

First, consider the arithmetic sequence formed by the first three terms: -8, x, y. In an arithmetic sequence, the common difference between consecutive terms is constant.

Therefore, set up the following equation:

x - (-8) = y - x

Simplifying the equation, we have:

x + 8 = y - x

2x + 8 = y

Next, given that the second, third, and fourth terms form a geometric sequence: x, y, 72. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio.

Express this relationship using the following equation:

y / x = 72 / y

Cross-multiplying, we get:

y² = 72x

Now, we have two equations:

2x + 8 = y (Equation 1)

y² = 72x (Equation 2)

To solve for x and y, we'll substitute Equation 1 into Equation 2:

(2x + 8)² = 72x

Expanding and simplifying:

4x² + 32x + 64 = 72x

Rearranging the terms:

4x² + 32x - 72x + 64 = 0

4x² - 40x + 64 = 0

Dividing the entire equation by 4:

x² - 10x + 16 = 0

Factoring the quadratic equation, we have:

(x - 2)(x - 8) = 0

Setting each factor equal to zero and solving for x, we get:

x - 2 = 0 -> x = 2

x - 8 = 0 -> x = 8

So, x can be either 2 or 8.

If we substitute these values back into Equation 1, we can find the corresponding values of y:

For x = 2:

2(2) + 8 = y

4 + 8 = y

12 = y

For x = 8:

2(8) + 8 = y

16 + 8 = y

24 = y

Therefore, the possible solutions for x and y are:

1. x = 2, y = 12

2. x = 8, y = 24

learn more about geometric sequence: https://brainly.com/question/1509142

#SPJ4

A. 2x + 3 = 5 + 2x has infinitely many solutions because the variable terms cancel out, leaving the statement 3 = 3, which is always true, regardless of the value of x.

The margin of error is 1.897.

We can use the formula for margin of error:

[tex]margin of error = z (\frac{standard deviation}{\sqrt{sample size} } )[/tex]

At a 90% confidence level, the corresponding z-value is 1.645 (from a standard normal distribution table).

Plugging in the values, we get:

[tex]margin of error = 1.645 (\frac{5}{\sqrt{30} } )[/tex]

= 1.897

Rounding to three decimal places, the margin of error is 1.897.

To know more about "Margin of error" refer here:

https://brainly.com/question/29419047#

#SPJ11

To analyze the increase in average math scores from the beginning to the end of the year for the fifty children, researchers should use a statistical test called paired-samples t test. So fourth option is the correct answer.

The paired-samples t-test is used when comparing the means of two related groups or when analyzing data with repeated measures on the same group. In this case, the scores of the same group of children are measured at the beginning and end of the year, making it a paired design.

The test would determine whether there is a significant difference between the mean math scores at the beginning and end of the year, indicating an increase or decrease in scores over time for the same group of children.

So the correct answer is fourth option paired sample t test.

To learn more about statistical test: https://brainly.com/question/30780083

#SPJ11

The roots of the quadratic equation x² + 2x - 7 are x = -1 + 2√2 and x = -1 - 2√2

To find the roots of the quadratic equation x² + 2x - 7 using the quadratic formula, we need to first identify the values of a, b, and c in the equation.

In this case, a = 1, b = 2, and c = -7.

The quadratic formula is:

x = (-b ± √(b² - 4ac)) / 2a

We can substitute the values of a, b, and c into the formula and simplify:

x = (-2 ± √(2² - 4(1)(-7))) / 2(1)

x = (-2 ± √(4 + 28)) / 2

x = (-2 ± √(32)) / 2

x = (-2 ± 4√2) / 2

We can simplify this expression further by dividing both the numerator and denominator by 2:

x = -1 ± 2√2

The roots of a quadratic equation represent the values of x that make the equation equal to zero. The quadratic formula provides a method for finding these roots for any quadratic equation, regardless of the values of a, b, and c.

To learn more about roots click on,

https://brainly.com/question/28976388

#SPJ1

Answer:

9.22

Step-by-step explanation:

pythagorean theorem is C squared= A squared +B squared. because C is 11 and if you square 11 its 121 and 6 squared is 36 so if u do 121-36 its 85

and if u root 85 it comes out as 9.22

The area of the rectangle is √32 x √45.

Option A is the correct answer.

We have,

From the figure,

Length = √32

Width = √45

Now,

The area of the rectangle.

= Length x width

= √32 x √45

Thus,

The area of the rectangle is √32 x √45.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

The number of truck loads of grain required to fill an empty silo is 51.97

Volume of the hemisphere = 2/3)πr^3,

Volume of hemisphere would be

[tex]hemisphere = (2/3)\pi (8 ft)^3 = 268.08 ft^3[/tex]

Volume of cylinder =  πr^2h

Then we will have

[tex]cylinder = \pi(8 ft)^2(40 ft) \\= 8046.72 ft^3[/tex]

Total volume

[tex]V_hemisphere + V_cylinder = 8314.80 ft^3[/tex]

[tex](8 ft)(5 ft)(4 ft) = 160 ft^3[/tex]

Number of truck loads

= 8314.80 ft^3 / 160 ft^3

=  51.97

Hence the number of truck loads of grain required to fill an empty silo is 51.97

Read more on hemisphere here https://brainly.com/question/25641436

#SPJ1

The value of cos S to the nearest hundredth is 0.54

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

Here in this triangle, the hypotenuse is 28

and the opposite to angle S is line TU

The adjascent is 15

therefore cos S = adj/hyp

= 15/28

= 0.54 ( nearest hundredth)

therefore the value of cos S is 0.54

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

The probability of drawing a ball that is white or less than 3 is 3/10 or 0.3.

We have,

There are 10 total balls in the bag.

The probability of drawing a white ball is 3/10 since there are three white balls out of ten total balls.

The probability of drawing a ball that is less than 3 is 1/10 since there is only one ball less than 3 (the white ball numbered 1) out of ten total balls.

To find the probability of drawing a ball that is white or less than 3, we need to add the probabilities of these two events occurring:

P(white or less than 3)

= P(white) + P(less than 3) - P(white and less than 3)

Since there is only one ball that satisfies both conditions (the white ball numbered 1), we can calculate P(white and less than 3) as 1/10.

P(white or less than 3) = 3/10 + 1/10 - 1/10

P(white or less than 3) = 3/10

Therefore,

The probability of drawing a ball that is white or less than 3 is 3/10 or 0.3.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

This change in shipping costs may or may not affect the company.

We need additional information to determine the exact effect.

Option B is the correct answer.

We have,

While the reduction in shipping costs from Plant 3 to the North region is significant, we need more information about the company's current shipping plan, routes, and costs associated with other plants to determine if this change will impact their overall shipping strategy.

Thus,

This change in shipping costs may or may not affect the company.

We need additional information to determine the exact effect.

Learn more about cost and effects here:

https://brainly.com/question/28448166

#SPJ11

The value of the given equation in the given case can be represented as -

 [tex]f'(3)[/tex] = -11.316.

To find f'(x), we can use the product rule:

[tex]f(x) = 4x(sin(x))\\f'(x) = 4(sin(x)) + 4x(cos(x))[/tex]

To find [tex]f'(3[/tex]), we plug in x = 3:

[tex]f'(3) = 4(sin(3)) + 4(3)(cos(3))\\\\f'(3) = 4(0.141) + 4(3)(-0.990)\\f'(3) = 0.564 - 11.88\\f'(3) = -11.316[/tex]

n other words, to take the derivative of a product of two functions, we multiply the derivative of the first function by the second function, and add it to the product of the first function and the derivative of the second function.

Therefore,[tex]f'(3)[/tex] = -11.316.

To know more about product rule: here

https://brainly.com/question/847241

#SPJ4

These two events are not mutually exclusive, but they are not independent.

To determine the relationship between the two events, "Owner has a Chevy" and "Owner's truck has four-wheel drive," it is necessary to analyze the information provided in the two-way table. Unfortunately, the table is not included in your question.

1. Mutually exclusive: Two events are mutually exclusive if the occurrence of one event excludes the occurrence of the other event. In other words, they cannot happen at the same time.

2. Independent: Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

After analyzing the two-way table, you should be able to determine if these events are mutually exclusive, independent, or neither.

To learn more about mutually exclusive, click here:

brainly.com/question/30512497

#SPJ11

The solution of the equation using Cramer's rule is x = -6 and y = 2.

The solution of the equation can be obtained by using Cramer's rule as shown below;

2x + y = 14

5x - 2y = 26

The determinant is calculated as;

    2   1

     5  - 2

Δ= -4 - 5

= - 9

The y determinant is calculated as;

            2  14

            5  26

Δy= 52 - 70

= -18

The x determinant is calculated as;

1    14

-2  26

Δx = 26 + 28

= 54

The value of x and y is calculated as;

x = Δx/Δ

y = Δy/Δ

x = 54/-9 = -6

y = -18/-9 = 2

Learn more about Cramer's rule here: https://brainly.com/question/20354529

#SPJ1

From the side limits of function, f(x), [tex]\lim_{x→ 6^{+}} f(x)= \lim_{ x→6^{- }} f(x) = 2, the limit value of function f(x) when x approaches to 6, [tex] \lim_{x →6} f(x) \\ [/tex] is equals to 2. So, option (d) is right one.

In Calculus a part of mathematics, a limit is the value that a function approaches when its input approaches some other value. That f(x) be approaches L when x approaches 0 then L is called limit of f(x).

Also, limit of a function f(x) if and only if the one sided limits of the function are equal, [tex] \lim_{ x → c} f(x) = L \\ [/tex] iff

[tex] \lim_{ x → c^- } f(x) = \lim_{ x → c^+} f(x) = L \\ [/tex]. We have a limit function f(x) the right hand and left hand limits are defined as, [tex] \lim_{x → 6^{-}} f(x) = 2 \\ [/tex], [tex] \lim_{ x → 6^{+}} f(x) = 2\\ [/tex]

but f( 6) does not exist.

We have to determine the value [tex] \lim_{ x → 6} f(x) \\ [/tex]. From above definition of limit of a function exist, if and only if RHS and LHS limits exist and equal. Here, both RHS and LHS limits are exist and equal so, [tex]\lim_{x→ 6} f(x) = lim_{x→ 6 ^{+}}f(x) = \lim_{x → 6^{-}} f(x) = 2.\\ [/tex] Hence, required value is equals to 2.

For more information about limit, refer :

https://brainly.com/question/30679261

#SPJ4

Complete question:

[tex] \lim_{ x -> 6^{ - } } f(x) = 2 \\ [/tex]

and

[tex]\lim_{x --> 6 ^{ + } } f(x) = 2, \\ [/tex]

but f(6) does not exist. What can you say about

[tex] \lim_{x--> 6} f(x) \\ [/tex]

?

A. Is - 2

B. Does not exist

C. Is oo

D. Is 2

The upper Darboux integral as [tex]$\frac{1}{4}b^4$[/tex]and the lower Darboux integral is 0.

The upper Darboux integral of a function f(x) on the interval [a,b] is defined as the supremum of the sums of the form

[tex]$\sum_{i=1}^n M_i(x_i - x_{i-1})$[/tex]where[tex]$M_i$[/tex] is the supremum of f(x) over the ith subinterval[tex]$[x_{i-1}, x_i]$[/tex]

Similarly, the lower Darboux integral is defined as the infimum of the same sums with the infimum of f(x) over each subinterval. For the function f(x) =[tex] x^3[/tex]

On the interval [0, b), we can see that the function is increasing and therefore its maximum value on each subinterval is achieved at the right endpoint. Thus, the upper Darboux integral is given by

[tex]$\int_0^b f(x)dx[/tex]  \sup\limits_{\mathcal{P}} \sum_=

[tex]{i=1}^n[/tex][tex]M_i(x_i - x_{i-1})[/tex] = [tex]lim_{|\mathcal{P}|\rightarrow 0} \sum_{i=1}^n f(x_i^)(x_i - x_{i-1}) [/tex][tex]{i=1}^n[/tex]

where $\mathcal{P}$ is a partition of [0,b] and $|\mathcal{P}|$ is the norm of the partition. Since $f(x) = [tex]x^3$[/tex]

is continuous on [0,b), we can apply Exercise 1.3 and Example 1 from chapter 1 to show that the limit above equals

f(x)= [tex]lim_{|\mathcal{P}|\rightarrow 0}[/tex][tex]sum_{i=1}^n (x_i^*)^3(x_i - x_{i-1})[/tex] = [tex]\frac{1}{4}b^4$[/tex]

Similarly, the lower Darboux integral can be computed using the left endpoint of each subinterval to get[tex]$\int_0^b [/tex]f(x)dx = [tex] \inf\limits_{\mathcal{P}} \sum_{i=1}^n[/tex][tex]m_i(x_i - x_{i-1})[/tex] =[tex] \lim_{|\mathcal{P}|\rightarrow 0} \sum_{i=1}^n (x_{i-1}^*)^3(x_i - x_{i-1}) = 0$[/tex]

Learn more about integral here:

https://brainly.com/question/18125359

#SPJ4

a) The total amount in Charles' account after ten years is $728,215.72.

b) Charles earns $29,375.31 more by putting his investment into an account that is compounded continuously instead of annually.

c) It will take approximately 17.3 years for Charles' account balance to double.

a. To calculate the total amount in Charles' account after ten years, we use the formula for continuous compound interest:

A = [tex]Pe^{(rt)[/tex]

where A is the amount in the account after t years, P is the initial principal, r is the annual interest rate as a decimal, and e is the constant approximately equal to 2.71828.

Substituting the given values, we get:

A = 500,000[tex]e^{(0.0410)[/tex]

A = $728,215.72

b. To calculate the difference in earnings between continuous and annual compounding, we use the formula:

A = P(1 + r/n)^(nt)

where n is the number of times interest is compounded per year. For continuous compounding, n approaches infinity, so the formula becomes:

A = [tex]Pe^{(rt)[/tex]

Substituting the given values, we get:

A = 500,000[tex]e^{(0.0410)[/tex]

A = $728,215.72

For annual compounding, n = 1, so the formula becomes:

Al = 500,000*[tex](1 + 0.04/1)^{(1*10)[/tex]

Al = $698,840.41

Therefore, the difference in earnings between continuous and annual compounding is:

A - Al = $728,215.72 - $698,840.41 = $29,375.31

c. To find the time it takes for Charles' account balance to double, we use the formula:

A = [tex]Pe^{(rt)[/tex]

We want to find t when A = 2P, so we can write:

2P = [tex]Pe^{(0.04t)[/tex]

Dividing both sides by P and taking the natural logarithm, we get:

ln(2) = 0.04t

Solving for t, we get:

t = ln(2)/0.04

t ≈ 17.3 years

To learn more about interest click on,

https://brainly.com/question/27135667

#SPJ1

The exponent of the expression is 6.

Remember that a superscript is a small symbol on the right top of another, then we can write this as:

7⁶

Remember that a general power is:

aⁿ

Where a is the base and n is the exponent.

Comparing that with the given expression, we can see that the base is 7 and the exponent is 6.

So the first option is the correct one.

Learn more about exponents at.

https://brainly.com/question/847241

#SPJ1

AB is the diameter of the circle, which has a length of 2r.

(a) To prove that AB ≤ 2r, we can use the triangle inequality.

The triangle inequality states that for any triangle, the sum of the lengths of any two sides is always greater than or equal to the length of the remaining side.

In our case, consider the triangle formed by points A, B, and the center of the circle O. The sides of this triangle are AB, AO, and OB.

According to the triangle inequality, we have:

AB + AO ≥ OB ...(1)

AB + OB ≥ AO ...(2)

AO + OB ≥ AB ...(3)

Since A and B are distinct points on the circle, AO and OB are both radii of the circle, and their lengths are equal to r.

Adding equations (1), (2), and (3), we get:

2(AB + AO + OB) ≥ AB + AO + OB + AB + OB + AO

Simplifying, we have:

2(AB + r) ≥ AB + 2r

Subtracting AB from both sides, we obtain:

2r ≥ AB

Therefore, AB ≤ 2r, which proves part (a) of the statement.

(b) To prove that AB = 2r if and only if A, O, B are collinear and A-O-B holds, we need to prove both directions.

(i) If AB = 2r, then A, O, B are collinear and A-O-B holds:

Assume AB = 2r. Since A and B are distinct points on the circle, the line segment AB is a chord. If AB = 2r, it means the chord AB is equal to the diameter of the circle, which passes through the center O. Therefore, A, O, and B are collinear. Additionally, since A and B are distinct points on the circle, A-O-B holds.

(ii) If A, O, B are collinear and A-O-B holds, then AB = 2r:

Assume A, O, B are collinear and A-O-B holds. Since A, O, and B are collinear, the line segment AB is a chord of the circle. The diameter of a circle is the longest chord, and it passes through the center of the circle. Since A-O-B holds, the line segment AB passes through the center O. Therefore, AB is the diameter of the circle, which has a length of 2r.

Hence, we have shown both directions, and we can conclude that AB = 2r if and only if A, O, B are collinear and A-O-B holds.

To learn more about triangle visit:

https://brainly.com/question/2773823

#SPJ11

Answer:

BC = 30

Step-by-step explanation:

We know that opposite sides of a parallelogram are congruent. Because of this, we can equate their lengths and solve for the variable z:

15z = 19z - 8

↓ adding 8 to both sides

15z + 8 = 19z

↓ subtracting 15z from both sides

8 = 4z

↓ dividing both sides by 4

2 = z

z = 2

Now, we can plug this z-value into the length of side BC and simplify:

BC = 19z - 8

BC = 19(2) - 8

BC = 30

Step-by-step explanation:

You are given $  and  cartons and you want  $/carton

$ 48 / 12 cartons =  $ 4 / carton    <====unit rate

Answer:4

Step-by-step explanation:

18 + 2 + 0 + 0 + 0 = 20

20 /5( number of numbers) = 4

The equation  -5-4x=5y graph is given in attachment whose slope is -4/5

The given equation is -5-4x=5y

We have to convert to slope intercept form

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

So isolate y in the equation

Divide both sides by 5

-1-4/5x=y

y=-4/5 x -1

Slope is -4/5

Hence, the equation  -5-4x=5y graph is given in attachment

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ1

The probability that a defective component will not be identified as defective before it is shipped  is 0.42 or 42%.

Let's consider the events:

A: the component is defective

B1: the component is identified as defective in the first test

B2: the component is identified as defective in the second test

We want to find the probability that a defective component will not be identified as defective before it is shipped, which is equivalent to the probability that neither B1 nor B2 occur.

Using the complement rule, we can find the probability of the complement event (at least one test identifies the component as defective) and subtract from 1:

P(not identified) = 1 - P(B1 or B2)

Since the tests are independent, we can use the multiplication rule:

P(B1 and B2) = P(B1) * P(B2 | B1)

Since the component can only be identified as defective in the second test if it was not identified as defective in the first test, we have:

P(B2 | B1) = P(B2)

Therefore,

P(B1 and B2) = P(B1) * P(B2)

= P(A) * P(B1 | A) * P(B2 | A')

= 0.3 * 0.7 * 0.9

= 0.189

Using the addition rule for the probability of the union of two events:

P(B1 or B2) = P(B1) + P(B2) - P(B1 and B2)

= P(A) * (P(B1 | A) + P(B2 | A') - P(B1 | A) * P(B2 | A'))

= 0.3 * (0.7 + 0.1 - 0.7 * 0.1)

= 0.58

Therefore,

P(not identified) = 1 - P(B1 or B2)

= 1 - 0.58

= 0.42

So the probability that a defective component will not be identified as defective before it is shipped is 0.42 or 42%.

Learn more about probability at https://brainly.com/question/23434850

#SPJ11

The surface area of the regular pyramid is 178.3 mm².

Here, we need to find the surface area of the regular pyramid.

This regular pyramid consists of three equal triangular faces.

The base of the triangle is 10 mm and height is 9 mm.

Using formula of the area of triangle, the area of a triangle would be,

A = (1/2) × base × height

A = (1/2) × 10 × 9

A = 45 sq. mm.

So, the surface area of the three sides would be,

B = 3A

B = 3 × 45

B = 135 sq. mm.

Here, the area of the base is 43.3 sq.mm.

so, the total surface area of regular pyramid would be,

S = B + 43.3

S = 135 + 43.3

S = 178.3 sq.mm.

This is the required surface area.

Learn more about the area of pyramid here:

https://brainly.com/question/12317097

#SPJ1

The value of a in the expression will be 3750.

The value of b, rounded to 2 decimal places will be (75/23)^1/4

The value of n is 450.

An expression consists of one or more numbers or variables along with one more operation.

The value of a in the expression will be:

= 4200 - 450

= 3750.

The number of French words a student remembers never decreases below a certain number of words, n which is 450.

Learn more about expressions on

https://brainly.com/question/1859113

#SPJ1