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2 years ago

Graph y = -1/3x + 3 (( if you could include a picture of the graph that would be great))

Mathematics

1 answer:

Kay [80]2 years ago

6 0

A place I go to graph is go to desmos. It works well for this. All you have to do is snip the picture of your graph

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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

2 years ago

Simplify a2b3×a5b2

Kryger [21]

Answer:

$\huge \orange { {a}^{7} {b}^{5} }$

Step-by-step explanation:

$\huge {a}^{2} {b}^{3} \times {a}^{5} {b}^{2} \\ \\\huge = {a}^{2} \times {a}^{5} \times {b}^{3} \times {b}^{2} \\ \\\huge = {a}^{2 + 5} \times {b}^{3 + 2} \\ \\ \huge \red{= {a}^{7} {b}^{5} }$

6 0

2 years ago

Consider the following equation, bh+hr=25 when solving for r

Komok [63]

Solve for r.

You want to get r by itself on one side on the equal sign.

bh + hr = 25

Subtract bh from both sides.

hr = 25 - bh

Divide h on both sides.

r = 25 - bh / h

The two h's cancel each other out.

r = 25 - b

Hope this helps!

4 0

2 years ago

Read 2 more answers

What do the Roman Numerals CLXXV111 represent

fomenos

178.

If number CLXXVIII is within to text or sentence it should be read in its equivalent in arabic numbers, in this case 178.

:)

3 0

2 years ago

Please help! Will give brainliest to correct answer! (1/3) - 50 POINTS - please no wrong answers.

astraxan [27]

Answer:

( 6, pi/6)

Step-by-step explanation:

( 3 sqrt(3), 3)

To get r we use x^2 + y ^2 = r^2

( 3 sqrt(3) )^2 + 3^2 = r^2

9 *3 +9 = r^2

27+9 = r^2

36 = r^2

Taking the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

Now we need to find theta

tan theta = y/x

tan theta = 3 / 3 sqrt(3)

tan theta = 1/ sqrt(3)

Taking the inverse tan of each side

tan ^-1 ( tan theta) = tan ^ -1 ( 1/ sqrt(3))

theta = pi /6

7 0

2 years ago

Read 2 more answers