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3 years ago

5. Troy wants to find the distance between his house on one side of the park and his school on the other

Mathematics

1 answer:

VLD [36.1K]3 years ago

3 0

Answer:

well

Step-by-step explanation:

why the hell would troy want to do that when he could really just go home and play fortnite

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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

3 years ago

in the rectangular pyramid below , the length ,i , is 27cm , the width , w , is 30 2/3cm , and the height , h , is 9cm. What is

Svetradugi [14.3K]

Answer:

A. 2,484

Step-by-step explanation:

27×30 2/3× 9= 7,452

7,452÷3= 2,484

6 0

3 years ago

I need help asap plz

IgorC [24]

Answer:light blue

Step-by-step explanation:

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3 years ago

A shopping club is having a a sale. members and non-members of the club recieve different discounts, as shown below

lana [24]

Answer:

Step-by-step explanation:

580 - 58 (10% of 580) = 522

522 - discount price (20) = 502

Sally is paying 502 for her camcorder

990 - 247.5 (25% of 990) = 742.5

742.5 - 20 = 722.5

Sally is paying $502

Tabitha is paying $722.5

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3 years ago

What is the equation of the horizontal line through (-7,-3)(−7,−3)?

Sholpan [36]

Answer:

y = -3

Step-by-step explanation:

This is because horizontal lines have a slope of 0. And for horizontal lines, the equation of the line is y = b. So, b is the y-intercept and the y intercept is -3 so that is the equation of the line.

3 0

2 years ago