Answer:

**Answer:**

y = 2/5x + 24/5

**Step-by-step explanation:**

y - 4 = 2/5(x - (-2))

y - 4 = 2/5(x +2)

y - 4 = 2/5x + 4/5

y = 2/5x + 4/5 + 4

y = 2/5x + 24/5

Two equivalents of 7/4

The measure of the exterior angle of the triangle is?

Which ordered pair would form a proportional relationship with the point graphed below?(10.-20)(-30, 20)(-10,5)(35, -20

tanya makes 5/8 of the foul shots she attempts during a basketball practice, if she took 48 shots, how many did she make?

Find the distance between two points A (-2,-3) B (6,8)

The measure of the exterior angle of the triangle is?

Which ordered pair would form a proportional relationship with the point graphed below?(10.-20)(-30, 20)(-10,5)(35, -20

tanya makes 5/8 of the foul shots she attempts during a basketball practice, if she took 48 shots, how many did she make?

Find the distance between two points A (-2,-3) B (6,8)

The sequence of squares, , has generating function

Recall that for ,

Taking the derivative, we have

and taking the derivative again, we have

From this we can get an expression for in terms of the derivatives of :

Then

**Answer:**

d = s x t

**Step-by-step explanation:**

The formula for distance.

-4 sxs 4, is the domain over the interval continuous or discrete,

and what is the range of the function?

The **range **of the given function in interval notation is .

The given function is and the domain interval is .

The **domain **and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

Substitute x=4 in the given function, we get

Substitute x=-4 in the given function, we get

So, the range is

Therefore, the **range **of the given function is .

To learn more about the **domain and range** visit:

brainly.com/question/28135761.

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Answer:b

Step-by-step explanation:

**Answer:**

a) X=77 drivers

b) Power of the test = 0.404

c) Increasing the sample size.

**Step-by-step explanation:**

This is a hypothesis test of proportions. As the claim is that the speed monitors were effective in reducing the speeding, this is a left-tail test.

For a left-tail test at a 5% significance level, we have a critical value of z that is zc=-1.645. This value is the limit of the rejection region. That means that if the test statistic z is smaller than zc=-1.645, the null hypothesis is rejected.

The proportion that would have a test statistic equal to this critical value can be expressed as:

The standard error of the proportion is:

Then, the proportion is:

This proportion, with a sample size of n=150, correspond to

The power of the test is the probability of correctly rejecting the null hypothesis.

The true proportion is 0.52, but we don't know at the time of the test, so the critical value to make a decision about rejecting the null hypothesis is still zc=-1.645 corresponding to a critical proportion of 0.51.

Then, we can say that the probability of rejecting the null hypothesis is still the probability of getting a sample of size n=150 with a proportion of 0.51 or smaller, but within a population with a proportion of 0.52.

The standard error has to be re-calculated for the new true proportion:

Then, we calculate the z-value for this proportion with the true proportion:

The probability of getting a sample of size n=150 with a proportion of 0.51 or lower is:

Then, the power of the test is β=0.404.

The only variable left to change in the test in order to increase the power of the test is the sample size, as the significance level can not be changed (it is related to the probability of a Type I error).

It the sample size is increased, the standard error of the proprotion decreases. As the standard error tends to zero, the critical proportion tend to 0.58, as we can see in its equation:

Then, if the critical proportion increases, the z-score increases, and also the probability of rejecting the null hypothesis.

.True

.False

**Answer:**

False

**Step-by-step explanation:**

Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.

The functions f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses of each other.

Two functions are inverses of each other if the composition of the functions results in the identity function. To check if f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses, we need to find their composition.

Let's substitute g(x) into f(x) and simplify: f(g(x)) = f((1/3)x + 7) = 3((1/3)x + 7) - 7 = x + 7 - 7 = x.

Since f(g(x)) = x, it means that f(x) and g(x) are inverses of each other, and therefore the statement is **True**.

#SPJ2

(B) what is the estimated average difference in electro-olfactogram readings between the two groups? What is the 95% confidnece limit for the difference between population means?

**Answer:**

a)

"=T.INV(1-0.025,10)", and we got

**Statistical decision **

Since our calculated value is higher than our critical value,, we have enough evidence to reject the null hypothesis at 5% of significance.

b)

The degrees of freedom are given:

**Step-by-step explanation:**

**Part a**

**Data given and notation **

represent the mean for scent of pre ovulatory

represent the mean for post ovolatory

represent the sample standard deviation for preovulatory

represent the sample standard deviation for postovulatory

sample size for the group preovulatory

sample size for the group postovulatory

z would represent the statistic (variable of interest)

represent the p value

**Concepts and formulas to use **

We need to conduct a hypothesis in order to check if the mean's are different, the system of hypothesis would be:

H0:

H1:

If we analyze the size for the samples both are lower than 30, so for this case is better apply a t test to compare means, and the statistic is given by:

(1)

**z-test:** Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

**Calculate the statistic **

We have all in order to replace in formula (1) like this:

**Find the critical value **

We find the degrees of freedom:

In order to find the critical value we need to take in count that we are conducting a two tailed test, so we are looking for thwo values on the t distribution with df =10 that accumulates 0.025 of the area on each tail. We can us excel or a table to find it, for example the code in Excel is:

"=T.INV(1-0.025,10)", and we got

**Statistical decision **

Since our calculated value is higher than our critical value,, we have enough evidence to reject the null hypothesis at 5% of significance.

**Part b**

For this case the confidence interval is given by:

The degrees of freedom are given: