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2 years ago

Boubacar has a deck that measures 3 feet by 14 feet. He wants to increase each

Mathematics

1 answer:

Serggg [28]2 years ago

7 0

Answer:

Step-by-step explanation:

(3 × 14) × 3 = 126

7 × 18 = 126

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Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8

MrRa [10]

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

So, per year

81.25%/10 = 8.125%

The annual percentage rate of change for the population of Oregon is of 8.125%.

5 0

3 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

3 years ago

Select the correct answer from each drop-down menu.

Oksana_A [137]

Answer:

Step-by-step explanation:

B because range of set B is more than set A

range B=56-12=44

range A=55-12=43

5 0

2 years ago

Frosty Whip Inc. budgets 65 percent of its total expenses for marketing. Total expenses for the company this year are $500,000.

Misha Larkins [42]

65% of the total expenses is for marketing, in which 500,000 is the total.

First, change the percentage into decimal

65% = 65/100 = 0.65

Next, to find the amount budgeted for marketing, multiply the total with the decimal

0.65 x 500000 = 325000

$325000 is used for marketing

hope this helps

6 0

3 years ago

A, B & C form the vertices of a triangle.

Savatey [412]

Answer:

BC = 17.2.

Step-by-step explanation:

Since CAB = 90º, this is a right triangle.

The triangle format is given below:

A B

We have that AB = 8.6, and angle B measures 60º.

Length of BC:

BC is the hypotenyse.

Side AB is adjacent to angle B = 60º.

In a right triangle, angle $\alpha$ , it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:

$\cos{\alpha} = \frac{s}{h}$

In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So

$\cos{\alpha} = \frac{s}{h}$

$0.5 = \frac{8.6}{h}$

$0.5h = 8.6$

$h = \frac{8.6}{0.5}$

$h = 17.2$

BC = 17.2.

4 0

3 years ago