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3 years ago

K(x) = 6x + 100 k(-5) =

Mathematics

2 answers:

LekaFEV [45]3 years ago

8 0

K(-5)=70
I hope that helps buddy

Mars2501 [29]3 years ago

7 0

Answer:

k(- 5) = 70

Step-by-step explanation:

To evaluate k(- 5) substitute x = - 5 into k(x)

k(- 5) = 6(- 5) + 100 = - 30 + 100 = 70

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In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.

inn [45]

Answer:

a) The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b) The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c) The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d) The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Standard error:

The standard error is:

$s = \sqrt{\frac{\pi(1-\pi)}{n}}$

Margin of error:

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = zs$

The confidence interval is:

Sample proportion plus/minus margin of error. So

$(\pi - M, \pi + M)$

In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.

This means that $n = 1500, \pi = \frac{1305}{1500} = 0.87$

a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?

$s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.87*0.13}{1500}} = 0.0087$

0.0087*100% = 0.87%.

The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Then

$M = zs = 1.96*0.0087 = 0.0171$

0.0171*100% = 1.71%

The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.

87% - 1.71% = 85.29%

87% + 1.71% = 88.71%.

The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.

The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

4 0

3 years ago

Put this numbers from least to greatest.

Tanzania [10]

Answer:

0.651, 0.67, 1.79, 3.2, and 9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Question 14 of 25

Vlad1618 [11]

The answer is B, Hope this helps ! :)

8 0

1 year ago

Also if I can I give brainiest answer to first person

postnew [5]

Answer:

the answer is 22

the equation is 30 + 15n

Step-by-step explanation:

15n as it increases each month and 30 as it never changes and will always be a value of 30

8 0

2 years ago

Read 2 more answers

The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.

Hoochie [10]

Answer:

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = 7

The Toy company sells Shaq Size hoops = 3

Step-by-step explanation:

Given - The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size. A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The Company requires the neighborhood to order at least 2 Jordan sizes and at least 3 Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200 on the Shaq size.

To find - What is the maximum profit they can make given the constraints above?

Proof -

Let us assume that,

The Toy company sells Jordan Size hoops = x

The Toy company sells Shaq Size hoops = y

Now,

Given that, A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together.

⇒x + y ≤ 10

Now,

Given that, The Company requires the neighborhood to order at least 2 Jordan sizes and at least 3 Shaq sizes.

⇒ x ≥ 2

y ≥ 3

Now,

Given that,

The Toy Company makes a profit of $1,350 on the Jordan size and $1,200 on the Shaq size.

So,

The objective function becomes

Z = 1350x + 1200 y

So,

The Linear Programming Problem (LPP) becomes

Maximize Z = 1350x + 1200 y

Subject to

x + y ≤ 10

x ≥ 2

y ≥ 3

x, y ≥ 0

We will Solve the LPP by Graphical method.

The graph is as follows :

The points on the Boundary are -

A(2, 8)

B(2, 3)

C(7, 3)

So,

Points (x,y) Objective function value ( Z = 1350x + 1200y)

B(2,3) 1350(2) + 1200(3) = 6300

C(7,3) 1350(7) + 1200(3) = 13050

A(2,8) 1350(2) + 1200(8) = 12300

So,

Maximum value = 13050 at point C(7,3)

∴ we get

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = x = 7

The Toy company sells Shaq Size hoops = y = 3

6 0

3 years ago