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sweet [91]
3 years ago
5

What is the equation of the line that passes through the point (-2, -1) and has a slope of ?

Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

10

Step-by-step explanation:

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A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
amm1812

Answer:

6546 students would need to be sampled.

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}.

The margin of error is:

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

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

This means that n = 200, \pi = \frac{118}{200} = 0.59

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

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

0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}

0.01\sqrt{n} = 1.645\sqrt{0.59*0.41}

\sqrt{n} = \frac{1.645\sqrt{0.59*0.41}}{0.01}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.59*0.41}}{0.01})^2

n = 6545.9

Rounding up:

6546 students would need to be sampled.

3 0
3 years ago
Solve for x. Round to the nearest tenth of a degree, if necessary.
babymother [125]

Answer:

x ≈ 40.0°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{WX}{VW} = \frac{57}{68} , then

x = tan^{-1} (\frac{57}{68} ) ≈ 40.0° ( to the nearest tenth )

7 0
3 years ago
PLEASE HELP IM STUCK WITH THIS ONE AND I DONT KNOW :(
labwork [276]
The line crossing the two parallel lines forms an allied angle
So using the theory “allied angles add up to 180 degrees” we can find x

76 + x =180
x= 180-76
x=104 (Option B)
6 0
3 years ago
[7.07] Choose the correct product of (6x + 2)2.
Archy [21]
The correct product of (6x+2)2 = 36x2 + 24x + 4
This is how to get this:
The equation is (a+b)2 = (a+b) (a+b). So, when you apply this to your equation, you get this:
(6x+2)2 = (6x+2) (6x+2) = 36x2 + 12x + 12x + 4 = 36x2 + 24x + 4
4 0
3 years ago
Read 2 more answers
Resultado de ____ · 5 = -125
larisa86 [58]

Answer:

-25

Step-by-step explanation:

Just divide -125 with 5 to get the answer(-25)

3 0
3 years ago
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