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2 years ago

Find the area of the figure. Whoever answers within an hour get brainliest

Mathematics

1 answer:

Gemiola [76]2 years ago

8 0

Answer:

48 ft^2

Step-by-step explanation:

The width and height of this parallogram are given: 6 ft and 8 ft.

The area of a parallelogram of width w and height h is A = wh.

Thus, the area of this particular parallelogram is

A = (6 ft)(8 ft) = 48 ft^2

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In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$

The margin of error is:

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

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

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

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

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

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

2 years ago

Calculate the circumference of the cirlce r=2.5 m

dlinn [17]

$C= 2 \pi *R

C= 2 \pi *2,5

C= 5 \pi$

4 0

3 years ago

Read 2 more answers

-4 < - 13( a + 6) -1 7

krek1111 [17]

Answer:

-4 < -13(a+6)-17

-4<-13a+(-78)-17

-4<-13a+(-95)

-4<-13a-95

91<-13a

-91>13a

-7>a

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the relationship between 9.125×10−3 and 9.125×102 ? Select from the drop-down menus to correctly complete the statement.

JulsSmile [24]

Given $9.125\times10^{-3}$ and $9.125\times10^{2}$

$9.125\times10^{2}=9.125\times10^{-3+5} \\ \\ =9.125\times10^{-3}\times10^5=9.125\times10^{-3}\times100000$

Therefore, $9.125\times10^{-3}$ is 100,000 times less than $9.125\times10^{2}$ .

8 0

2 years ago

Read 2 more answers

Solve: -25 < x + 20 < 25

denis23 [38]

Answer:

-45 < x < 5 (see graph below)

Step-by-step explanation:

to isolate x by itself, subtract 20 from all three terms of the equation:

$(-25-20)$