28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?

The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

As the composition of the functions is then given as follows:

\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)

More can be learned about the composition of functions at https://brainly.com/question/10687170

#SPJ1

Answer:

aisuejejrfjtntn

Step-by-step explanation:

The new vertices of the rectangle after both transformations are: W(7, 7), X(-6, 3), Y(-6, -5), and Z(7, A + 1). Rectangle WXYZ has vertices W(-7, 2), X(5, 2), Y(5, -6), and Z(-7, A). We are given two transformations to apply to this rectangle: a dilation with a scale factor of 1/4 using (-7, 6) as the center, and a reflection in the y-axis.

Let's start with the dilation. A dilation is a transformation that changes the size of a shape while maintaining its shape and proportions. The scale factor of 1/4 means that each dimension of the rectangle will be reduced to 1/4 of its original length.

To perform the dilation, we need to find the distance between the center of dilation (-7, 6) and each vertex of the rectangle.

Distance between W and the center of dilation:
sqrt[(-7 - (-7))^2 + (2 - 6)^2] = sqrt[0 + 16] = 4

So, the new position of W after the dilation will be 1/4 of this distance away from the center of dilation: (-7 + (1/4) * 4, 6 + (1/4) * 4) = (-7, 7).

Similarly, we can find the new positions for the other vertices:

X: (5 + (1/4) * 4, 2 + (1/4) * 4) = (6, 3)
Y: (5 + (1/4) * 4, -6 + (1/4) * 4) = (6, -5)
Z: (-7 + (1/4) * 4, A + (1/4) * 4) = (-7, A + 1)

Now, let's move on to the reflection in the y-axis. This transformation reflects the shape across the y-axis, flipping it to the opposite side.

To perform the reflection, we need to negate the x-coordinate of each vertex:

W: (-(-7), 7) = (7, 7)
X: (-6, 3)
Y: (-6, -5)
Z: (-(-7), A + 1) = (7, A + 1)

So, the new vertices of the rectangle after both transformations are:
W(7, 7), X(-6, 3), Y(-6, -5), and Z(7, A + 1).
For more information on dilation visit:

brainly.com/question/29811168

#SPJ11

Answer:

$20.83

Step-by-step explanation:

cost of fuel purchased =$79.17

amount given to the clerk= $100

amount of change she should receive= 100-79.17

= $20.83

The mean of Y is 9.33.

If X has a discrete uniform distribution on the integers 0 through 5, then we know that its probability mass function is:

P(X = k) = 1/6 for k = 0, 1, 2, 3, 4, 5

We want to find the mean of the random variable Y = 4X. We can start by finding the probability mass function of Y:

P(Y = j) = P(4X = j) = P(X = j/4) = 1/6 for j = 0, 4, 8, 12, 16, 20

So the probability mass function of Y is a discrete uniform distribution on the integers 0 through 20, with each value having probability 1/6.

Now we can use the formula for the mean of a discrete random variable:

E(Y) = Σ j P(Y = j)

= 0(1/6) + 4(1/6) + 8(1/6) + 12(1/6) + 16(1/6) + 20(1/6)

= 56/6

= 9.33 (rounded to two decimal places)

Therefore, the mean of Y is 9.33.

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

By convention, the first term of a sequence starts with n = 1 instead of n = 0. This is so n = 1 matches with 1st, n = 2 matches with 2nd, and so on.

In contrast, the y intercept always occurs when x = 0. So something like y = 3x+5 has a y intercept of 5 when you plug in x = 0.

An arithmetic sequence like f(n) = 2n+7 has its first term when n = 1. So the first term would be f(1) = 2(1)+7 = 9 instead of 7 as Hank claims.

Answer:

Step-by-step explanation:

25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=

π = 490.87 x 4= 1963.48

Answer:

because we want to learn with there meaning. so first we want to study about what that picture is tell about and what is the shape, why it is use. so only they uses the properties. we not magup the maths. we want learn and write.

Step-by-step explanation:

please mark me as a brainlist..

The measure of the angle x would be 30.26°.

What are inverse trigonometric functions?

Inverse trigonometric functions are functions that "undo" the action of the trigonometric functions. They allow us to find the angles of a right triangle given the values of the sides, or to find the values of the sides given the angles.

In the given triangle, by using sine ratio we can write

        sin(x°) = BC/AC

       \(sin(x^o)=39/74\\\\x^o=sin^{-1} \frac{39}{74}\\\\x^o=sin^{-1}{0.5270}\\\\x^o=30.26^o\)

Hence, the measure of the angle x would be 30.26°.

To learn more about inverse trigonometric functions, visit:

https://brainly.com/question/1143565

#SPJ1

Answer:

(9)R

Step-by-step explanation:

Answer:

As it is a linear function, not restricted, both the domain and the range are R (set of real numbers), so from minus infinite to plus infinite.

The domain and range of the given function both are the real numbers.

Considering working in real numbers, domain is \(\mathbb{R}\) and range is \(\mathbb{R}\) too.

Domain can be complex numbers too, but for the sake of daily life cases, we consider working in real numbers.

Thinking of it as equation of straight line can help.

The given function is monotonically increasing and continuous.

Thus Range can be calculated as  interval ( f(min value of domain), f(max value of domain) ) which gives us \(\mathbb{R}\) as range.

Below is the plot of f(x) = 3x + 5 in real number plane.

In fact, any linear equation of the form

\(y = mx + c ; \: \: c \in R \: and \: m \in {R-\{0\}}\)

has  both domain and range as real numbers.

For more information, refer to:

https://brainly.com/question/12208715

Answer:

1) 7.5
2) 43.98cm
3)153.94cm^2
4) 21units^3

Step-by-step explanation:

5/2=2.5
3*2.5=7.5
d\(\pi\)
14\(\pi\)=43.98cm
\(\pi\)r^2
49\(\pi\)=153.94
2*3=6
6/2=3
3*7=21

Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh

Now, According to the question:

The surface area of a triangular prism is also known as the total surface area. Therefore, it is calculated using the formula, Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh; where:

Learn more about Surface area of a triangular prism at:

https://brainly.com/question/16765719

#SPJ4

Answer:

-8

Step-by-step explanation:

start at -1, move 7 more spots left you get to -8

please hit the heart button :)

Answer:

-8

Step-by-step explanation:

-1 - 7 is pretty much -(1+7) which is -8.

Answer....

Ok done. Thank to me >:33

Answer:

Hey there!

p(x)=7x+25

7x+25=60

7x=35

x=5

Let me know if this helps :)

Answer:

Step-by-step explanation:

The attached graph shows the depth of the elevators with respect to the time the miners' elevator started.

After 14 more seconds, the positions are ...

  equipment: -6(42) = -252 feet relative to the surface

  miners: -16(14) = -224 feet relative to the surface

The equipment elevator is deeper.

The answers of the questions are as follows,

(a) b = 1

(b) x/3 + 5 = 6 , 9 - 3x = 0 and 2x + 4 = 10 has the solution x = 3

(c) x = 3

(d) x = 4

(e) 9 - x = 14/x , 65 - 2x = 6x + 9 and 3 + 4x = 5x - 4 has the solution x = 7

(a) 6 + 7(b - 1) = 5 + b

6 + 7b - 7 = 5 + b

7b - 1 = 5 + b

7b - b = 5 + 1

6b = 6

b = 1

(b) x/3 + 5 = 6 has the solution x = 3

as, 3/3 + 5 = 6

1 + 5 = 6

6 = 6

also, 9 - 3x = 0 has the solution x = 3

as, 9 - 3(3) = 0

9 - 9 = 0

0 = 0

also, 2x + 4 = 10 has the solution x = 3

as, 2(3) + 4 = 10

6 + 4 = 10

10 = 10

(c) 7x - 4 = 3x + 8

7x - 3x = 8 + 4

4x = 12

x = 3

(d) 6x - 9 = 15

6x = 15 + 9

6x = 24

x = 4

(e) 9 - x = 14/x has the solution x = 7

as, 9 - 7 = 14/7

2 = 2

also, 65 - 2x = 6x + 9 has the solution x = 7

as, 65 - 2(7) = 6(7) + 9

65 - 14 = 42 + 9

51 = 51

also, 3 + 4x = 5x - 4 has the solution x = 7

as, 3 + 4(7) = 5(7) - 4

3 + 28 = 35 - 4

31 = 31

Hence, The answers of the questions are as follows,

(a) b = 1

(b) x/3 + 5 = 6 , 9 - 3x = 0 and 2x + 4 = 10 has the solution x = 3

(c) x = 3

(d) x = 4

(e) 9 - x = 14/x , 65 - 2x = 6x + 9 and 3 + 4x = 5x - 4 has the solution x = 7

Learn more about Linear Equations here https://brainly.com/question/24085666

#SPJ1

The length of Stan's movie is 2 hours 25 minutes

The length of Talia's movie is 2 hours 55 minutes.

In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.

Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.

Length of the movie = time the movie ended - time the movie started

Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours

Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours

To learn more about how to calculate time, please check: https://brainly.com/question/26290873

#SPJ1

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

THE ANSWER IS THE VOLUME IS 150.8 INCHES CUBED !!!!!

Step-by-step explanation:

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are \(n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3\), and the number of systems is:

\(N = 6 \times 4 \times 5 \times 3 = 360\)

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

13 is a quarter so you are gonna multiply 13 by 4 you answer is 52

Answer:

x=-11

Step-by-step explanation:

a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

Learn more about null hypothesis at: brainly.com/question/30821298

#SPJ11

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

To know more about distribution refer here:

https://brainly.com/question/29664127

#SPJ11

Answer:

It would be...

Step-by-step explanation:

Similar By: 22.5 and 27

ABCD: G AND H AND F

I am not sure but I try hard