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zimovet [89]
3 years ago
15

Your school's drama club charges $4 per student for admission to Our Town. The club borrowed $400 from parents to pay for costum

es, prop, and the set. After paying back the parents, the drama club has $100. How many students attended the play?
Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:

125 students attend.

Step-by-step explanation:

We already know that the drama club made $500 (500 - 400 = 100)

divide 500 by 4 to find out how many students attend the play, and paid $4

500 ÷ 4 = 125

125 students attend.

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Answer:

The required confidence interval is (3.068,4.732)

Step-by-step explanation:

Consider the provided information.

He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.

Thus, n=50, \bar x=3.90 σ=3.51

Now find degree of freedom.

df=n-1\\df=50-1=49

The confidence level is 90% and df=49

Therefore,

\frac{\alpha}{2} =\frac{1-0.90}{2}

\frac{\alpha}{2} =0.05

Now by using t distribution table look at 49 df and  alpha level on 0.05.

t_{\frac{\alpha}{2}} = 1.67653

Calculate SE as shown:

SE=\frac{\sigma}{\sqrt{50} }

SE=\frac{3.51}{\sqrt{50}}=0.4964

Now multiply 1.67653 with 0.4964

Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832

Now add and subtract this value in given mean to find the confidence interval.

\bar x-E

Hence, the required confidence interval is (3.068,4.732)

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