Question 10 of 10
Which of the following are remote interior angles of 25? Check all that apply.
6/A
6/3
A. 22
B. 24
C. 21
D. 25
E. 23
F. 26

True. The statement "If Ha is not equal, you have to double the probability of being beyond your test statistic to get your p-value" is true.

If the alternative hypothesis (ha) is not equal, then you have to double the probability of being beyond your test statistic in order to obtain the p-value.

Thus,  When the alternative hypothesis (Ha) is not equal (two-tailed test), you need to consider both tails of the distribution, so you double the probability of being beyond the test statistic to calculate the p-value.

Know more about the test statistic

https://brainly.com/question/15110538

#SPJ11

It represents exponentially growth function.

The given function is

y = [tex]9^{x}[/tex]

Since,

A mathematical function with the form f (x) = [tex]a^{x}[/tex] is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's basis and must be greater than 0.

Now after plotting,

It begins as a horizontal line, grows slowly at first, then picks up speed. It has an increasing slope.

Which represents exponentially growth.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

The answer would be Option C. [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The given relation (7, –16) (8, 0) (7, 5) is not a function.

To determine if the given relation is a function, we need to check if each input (x-value) is associated with only one output (y-value).

If there exists an input value that is associated with multiple output values, then the relation is not a function.

Looking at the given relation, we have:

(7, –16)

(8, 0)

(7, 5)

We can see that the input value 7 is associated with two different output values (-16 and 5).

When a relation is a function, each input value is associated with only one output value. In other words, each x-value has only one corresponding y-value. In this case, we have an input value of 7 that is associated with two different output values, which violates the definition of a function.  

Therefore, the given relation is not a function.

To learn more about values here

https://brainly.com/question/30145972

#SPJ1

The dimensions of the porch and the size of the paper indicates;

The appropriate scale for the drawing is the option 1 inch to 2 feet

1 in. : 2 feet

A scale drawing is a drawing which has been increased or reduced compared to the size of the original or initial drawing.

The dimensions of the rectangular porch = 5 feet by 12 feet

The size of the sheet of paper = 6 inches by 6 inches

The limiting size from the actual porch is the length of 12 feet

Therefore;

The ratio of the length of the corresponding size of the drawing to the size actual porch is therefore;

6 inches is equivalent to 12 feet, which indicates;

6/6 = 1 inch is equivalent to 12/6 = 2 feet

The possible question, obtained from a similar question posted on the net is to select the appropriate scale of the drawing

The possible options are;

1 in. : 2 ft.

1 in. : 2.5 ft.

6 in. : 2.5 ft.

2.5 in. : 6 ft.

Learn more on ratios here: https://brainly.com/question/30828672

#SPJ1

Answer:

Step-by-step explanation:

he height of the storage unit is equal to twice its radius (since the diameter is twice the radius), so the height is 2 x 8 = 16 feet.

The storage unit is in the shape of a cylinder, so we can use the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height:

V = π(8^2)(16)

V = π(64)(16)

V = 3,218.69 cubic feet (rounded to two decimal places)

Therefore, the volume of the storage unit is approximately 3,218.69 cubic feet.

Answer:

Step-by-step explanation:

The parent function is f(x) = 0.8^x, which represents exponential decay. This means that as x increases, f(x) gets smaller and smaller.

The given function g(x) is obtained by multiplying f(x) by 800, which stretches the graph vertically by a factor of 800.

Also, the function g(x) has an additional translation: the entire graph of f(x) is shifted vertically upwards by 800 units. This is because the computer originally sold for $800, and g(x) represents the current value of the computer, which is $800 times the value of the parent function.

Therefore, g(x) can be described as a vertical stretch and translation of the parent function f(x) = 0.8^x.

If an object that has a volume of 30 cubic inches weighs 24 ouncess then the constant of variation is 0.8.

If the weight of an object varies directly with its volume, then we can write the following proportion

Weight / volume = constant of variation

Let's use w to represent the weight of the object and v to represent its volume. We are given that an object with a volume of 30 cubic inches weighs 24 ounces, so we can write

w / v = k

Where k is the constant of variation. We can solve for k by substituting the given values

24 / 30 = k

Simplifying this expression, we get

0.8 = k

Therefore, the constant of variation is 0.8.

To know more about constant of variation here

https://brainly.com/question/11928182

#SPJ1

Answer:

Step-by-step explanation:

Distance formula looks a little like pythagorean because that where it comes from

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

=[tex]\sqrt{(-1-(-2))^{2}+(3-1)^{2} }[/tex]

=[tex]\sqrt{1^{2}+2^{2} }[/tex]

=√5 or 2.24

The complete table is as follows

x       y

0     -11/2

1     -3

2      -1/2

3      2

4      9/2

5      7

The table is completed by identifying the constant change

-11/2 + k = -3

k = -3 + 11/2

k = 5/2

This is used to complete the table as follows

For x = 1

-11/2 + 5/2 = -3

For x = 2

-3 + 5/2 = -1/2

For x = 3

-1/2 + 5/2 = 2

For x = 4

2 + 5/2 = 9/2

For x = 5

9/2 + 5/2 = 7

Learn more about complete the table at

https://brainly.com/question/30801679

#SPJ1

The circumference of a circle with diameter 379 can be found using the formula:

C = πd

where d is the diameter of the circle. Substituting the given value of d, we get:

C = 3.14 x 379

C ≈ 1191.06

Rounding to the hundredths place, the circumference is approximately 1191.06 units of length (e.g. inches, centimeters, etc.).

Therefore, the answer to fill in the blank is 1191.06.

The sample space for rolling a fair eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8}.

The sample space is the set having the total outcomes of a random trial.

So, in a fair eight-sided die, the outcomes will be =

1, 2, 3, 4, 5, 6, 7, 8 = 8

Writing in the of set, S = {1, 2, 3, 4, 5, 6, 7, 8}.

Hence the sample space for rolling a fair eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8}.

Learn more about sample space, click;

https://brainly.com/question/30206035

#SPJ1

Answer

x = 2

multiplie the 2 on both sides

= 4+3x = 10

subtract the 4

= 3x = 6

divide by 3

= x = 2

When rolling a fair six-sided die, the probability of rolling a six is 1/6. Assuming that the dice are fair and independent, we can use the rules of probability to find the probability of rolling certain outcomes when 4 dice are thrown:

i. To find the probability of getting exactly 3 sixes when 4 dice are thrown, we can use the binomial probability formula:

P(exactly k successes in n trials) = (n choose k) * p^k * (1-p)^(n-k)

where n is the number of trials, k is the number of successful outcomes, p is the probability of success on each trial, and (n choose k) is the binomial coefficient.

For this problem, n = 4, k = 3, and p = 1/6.

P(exactly 3 sixes) = (4 choose 3) * (1/6)^3 * (5/6)^1

= 4 * (1/216) * (5/6)

= 5/54

Therefore, the probability of getting exactly 3 sixes when 4 dice are thrown is 5/54.

ii. To find the probability of getting exactly 2 sixes when 4 dice are thrown, we can use the same formula with k = 2:

P(exactly 2 sixes) = (4 choose 2) * (1/6)^2 * (5/6)^2

= 6 * (1/36) * (25/36)

= 25/72

Therefore, the probability of getting exactly 2 sixes when 4 dice are thrown is 25/72.

iii. To find the probability of getting no sixes when 4 dice are thrown, we can use the complement rule:

P(no sixes) = 1 - P(at least one six)

To find the probability of getting at least one six, we can use the complement of getting no sixes:

P(at least one six) = 1 - P(no sixes)

For each die, the probability of not rolling a six is 5/6. Therefore, the probability of getting no sixes on 4 dice is:

P(no sixes) = (5/6)^4

= 625/1296

Therefore, the probability of getting no sixes when 4 dice are thrown is 625/1296, and the probability of getting at least one six is 1 - 625/1296 = 671/1296.

Answer:

125

Step-by-step explanation:

By using normal division method,

3125÷25 goes as 125

Answer: 1/9

Step-by-step explanation: I do rsm it is correct from my hw

The probability that the player would miss 7 or more shots is given as follows: 17%.

As the probability is greater than 5%, it would not be a surprise.

The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.

The mass probability formula is given by the equation presented as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters, along with their meaning, are listed as follows:

The parameter values for this problem are given as follows:

n = 10, p = 0.5.

Hence the probability of 7 or more misses is given as follows:

P(X >= 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

Using a calculator, with the given parameters, the probability is given as follows:

P(X >= 7) = 0.17 = 17%.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

Answer:

Step-by-step explanation:

We are given with a triangle whose Height is 7 cm and base is 10 cm.

We have to calculate the Area of triangle.

As we know that area of triangle is calculated by,

Putting the required values we get,

Area = 1/2 × 7 × 10

Area = 7 × 5

Area = 35 cm².

Hence, The area of the triangle is 35 cm².

The function of time x(t) corresponding to the Laplace transform 1/(s^2 + 9), Re{s} > 0, is x(t) = (1/3π) sin(3t) e^(st).

To compute the inverse Laplace, transform of 1/(s^2 + 9), we can use the formula for the inverse Laplace transform of a rational function:

L^-1{F(s)} = (1/2πi) ∫γ+σ-iγ+σ+ iF(s)e^(st) ds

where γ is a real number greater than the real part of all singularities of F(s), σ is a positive real number such that the contour of integration lies to the right of all singularities of F(s), and the contour of integration γ+σ is a line parallel to the imaginary axis.

In this case, the Laplace transform of 1/(s^2 + 9) is:

F(s) = L{1/(s^2 + 9)} = 1/[(s + 3i)(s - 3i)]

which has singularities at s = ±3i. Since Re{s} > 0, we can choose γ = 0 and σ > 3. Then, the inverse Laplace transform of F(s) is:

L^-1{F(s)} = (1/2πi) ∫γ+σ-iγ+σ+ iF(s)e^(st) ds
= (1/2πi) ∫γ+σ-iγ+σ+ i [1/((s + 3i)(s - 3i))] e^(st) ds

We can use partial fraction decomposition to express F(s) as:

F(s) = A/(s + 3i) + B/(s - 3i)

where A = 1/(2(3i)), B = -1/(2(3i)), and we get:

L^-1{F(s)} = (1/2πi) [∫γ+σ-iγ+σ+ i A/(s + 3i) e^(st) ds + ∫γ+σ-iγ+σ+ i B/(s - 3i) e^(st) ds]
= (1/2πi) [A e^(-3it) ∫γ+σ-iγ+σ+ i e^(su) du + B e^(3it) ∫γ+σ-iγ+σ+ i e^(sv) dv]
= (1/2πi) [(A e^(-3it) + B e^(3it)) ∫γ+σ-iγ+σ+ i e^(su) du]

where u = s - 3i, v = s + 3i, and we can evaluate the integral using the residue theorem:

∫γ+σ-iγ+σ+ i e^(su) du = 2πi Res[e^(su)/(u + 3i), u = -3i]
= 2πi e^(-3it)/(2(3i))
= -i/3 e^(-3it)

Therefore, we have:

x(t) = L^-1{F(s)} = (1/2πi) [(A e^(-3it) + B e^(3it)) ∫γ+σ-iγ+σ+ i e^(su) du]
= (1/2πi) [(1/(2(3i)) e^(-3it) - 1/(2(3i)) e^(3it)) (-i/3) e^(st) ds]
= (1/6π) [e^(-3it) - e^(3it)] e^(st) ds
= (1/3π) sin(3t) e^(st)

To learn more about integral  visit;

brainly.com/question/18125359

#SPJ11

Mathematics and data can help make decisions clearer, but ultimately you only have to make one decision at a time. This statement is true.

Information and factual investigation give profitable bits of knowledge and back decision-making, but it isn't continuously conceivable or fundamental to have full factual information sometime recently making decisions.

Decisions often have to be made with fragmented or fragmented data, and managers use them to possess judgment and encounter to weigh accessible alternatives, and make the most excellent conceivable choices. 

A decision must be made. Additionally, decisions often involve more than purely numeric data, such as B.

Social and ethical considerations require thoughtful and nuanced decisions that are not always fully captured by statistical analysis. 

learn more about statistical analysis. 

brainly.com/question/30591800

#SPJ4

The temperature range is the difference between the highest and lowest temperatures. To calculate it, we subtract the lowest temperature from the highest temperature. In this case, we have:

**Temperature range = 15 °C - (-18 °C) = 15 °C + 18 °C = 33 °C**

So, the temperature range is **33 °C**.️

The required equation of function g(x) is x²- 1.

To find the function g(x), which is the translation 1 unit down of f(x) = x², we can subtract 1 from the y-coordinate of each point on the graph of f(x).

The graph of f(x) = x² is a parabola that opens upward and passes through the origin (0, 0). The y-coordinate of any point on this parabola is equal to the square of its x-coordinate.

The function g(x) can be written as:

g(x) = f(x) - 1

      = x² - 1

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ1

After the translation 1 unit down of the function f(x)=x² is g(x) = x² - 1.

The given function is f(x)=x².

The translation of a function f(x) 1 unit down is given by g(x) = f(x) - 1.

So, for f(x) = x², the translation 1 unit down of f(x) is g(x) = x² - 1.

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: None

Vertical Shift: Down 1 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore, after the translation 1 unit down of the function f(x)=x² is g(x) = x² - 1.

To learn more about the translation visit:

https://brainly.com/question/17485121.

#SPJ1

There is no improvement this week because the average this week (43.04) is less than the average last week 52

Given that we have the table of values

When the table is completed, we have the following entries

f        x        fx

6     32.5   195

7     37.5   262.5

8     42.5   340

9     47.5   427.5

7     52.5   367.5

So, we have

Average = Sum of fx/Sum of f

This gives

Average = (195 + 262.5 + 340 + 427.5 + 367.5)/(6 + 7 + 8 + 9 + 7)

Evaluate

Average = 43.04

The average last week was 52 minutes

43.04 is less than 52

This means that there is no improvement this week

Read more about frequency table

https://brainly.com/question/16148316

#SPJ1

The best measure of center to determine which bus typically has the faster travel time is: A. Bus 47, with a median of 16.

In Mathematics and Statistics, a line plot simply refers a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

For Bus 47, the median is given by;

4,6,14,28,10,10,12,12,18,18,22,22,16,16,16

Median of Bus 47 = 16

Mean of Bus 47 = 15.

For Bus 14, the median is given by;

10,16,20,28,8,8,14,14,18,18,18

Median of Bus 14 = 16.

Mean of Bus 14 = 16

Read more on median here: https://brainly.com/question/31201782

#SPJ1

Answer:

  11%

Step-by-step explanation:

You want to know the rate of inflation if the price of a haircut increased from $7 to $20 in 10 years.

The inflation of prices is modeled by an exponential function.

  p(t) = p₀·(1 +r)^t

where p₀ in the price at t=0, r is the annual inflation rate, and t is the number of years.

Solving for r, we find ...

  p(t)/p₀ = (1 +r)^t . . . . . . . . divide by p₀

  (p(t)/p₀)^(1/t) = 1 +r . . . . . . take the t-th root

  r = (p(t)/p₀)^(1/t) -1 . . . . . . . subtract 1

For the given numbers, we find the rate to be ...

  r = (20/7)^(1/10) -1 ≈ 0.11 = 11%

The rate of inflation is 11% per year.

<95141404393>

Answer:

9

Step-by-step explanation:

Answer:

well maybe if Jensine gets a better f ***** job she can buy it instead she wants to waste her time to watch a annoying a *baby for 6$ a hour

Step-by-step explanation:

This is all a joke dont get mad :)

a. Let x be the cost of each candle, and let s be the flat rate shipping fee.

b. Allie placed two orders: one for 4 candles at a cost of $35, and one for 12 candles at a cost of $49.

c. From the first order, we know that:

4x + s = 35

From the second order, we know that:

12x + s = 49

d. To find the shipping fee, we can subtract the cost of the candles from the total cost of each order. For the first order:

s = 35 - 4x

Substituting this into the second equation, we get:

12x + (35 - 4x) = 49

Simplifying and solving for x, we get:

8x = 14

x = 1.75

Substituting this value of x into the first equation to solve for s, we get:

4(1.75) + s = 35

s = 28 - 4(1.75) = 21

Therefore, the shipping fee was $21.

e. Let n be the number of candles she can get for $60. We can set up an equation based on the cost per candle:

nx + s = 60

Substituting the values we found for x and s, we get:

n(1.75) + 21 = 60

Solving for n, we get:

n = (60 - 21) / 1.75 = 22.29

Since Allie cannot buy a fraction of a candle, she can buy a maximum of 22 candles for $60.

From the given question we cannot conclude that Burger Quick has a smaller range based on the given information.

Range refers to the set of potential target value, and if we have a graph, then the range is the collection of all feasible y-values on the graph.

Burger Quick is able to estimate their wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data, and a smaller IQR indicates that the data is more tightly clustered around the median. In this case, Burger Quick has an IQR of 14.5 (from 9.5 to 24), while Fast Chicken has an IQR of 4.5 (from 10 to 14.5). This means that the wait times reported by Burger Quick are more consistent and less variable than those reported by Fast Chicken.

The range is a measure of the total spread of the data, and while a smaller range can indicate less variability, it doesn't necessarily mean that the data is more consistent in the middle. Therefore, we cannot conclude that Burger Quick has a smaller range based on the given information.

To know more about range visit:

brainly.com/question/29387957

#SPJ1

Answer:

2*10^-7

Step-by-step explanation:

3.6*10^-5 is the same thing as [tex]\frac{1}{3.6*10^5}[/tex]. So [tex]\frac{1}{3.6*10^5}*\frac{1}{1.8*10^2}[/tex] is equal to [tex]\frac{1}{2*10^7}[/tex]which is equal to [tex]2*10^-7[/tex]