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3 years ago

9

An arts acedemy requires there to be 3 teachers for every 75 students and 6 tutors for every 75 students.How many tutors does th

e acedemy need if it has 120 students

1 answer:

JulsSmile [24]3 years ago

6 0

They need 10 tutors if the academy has 120 students.

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In a sample of 70 stores of a certain company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi

uysha [10]

Answer:

We need at least 243 stores.

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 of the interval is:

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

For this problem, we have that:

$n = 70, p = \frac{62}{70} = 0.886$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.

We need at least n stores.

n is found when M = 0.04. So

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

$0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}$

$\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}$

$n = 242.5$

Rounding up

We need at least 243 stores.

5 0

3 years ago

What is the volume of a cylinder with base radius 2 and height 9?

astraxan [27]

113.04 is the volume

V = pi x r^2 x h

3.14 x 2^2 x 9 = 113.04

8 0

3 years ago

1+2i/2+3i simplified

Aleonysh [2.5K]

8/13 + i/13 hope this helps

4 0

3 years ago

F(x) = x² – 3x; Find f(-8)

Shtirlitz [24]

F(-8)=8^2-3(-8)
=64+24
=88

Hope this can help.

7 0

3 years ago

What is the measure of ∠I? Explain. (1 point)

Maslowich

I think you forgot to put a picture in..

3 0

2 years ago