The opera theater manager calculates that 16%16% of the opera tickets for tonight's show have been sold. If the manager is correct, what is the probability that the proportion of tickets sold in a sample of 592592 tickets would be less than 13%13%? Round your answer to four decimal places.

0.0228 = 2.28% probability that the proportion of tickets sold in a sample of 592 tickets would be less than 13%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For the sampling distribution of a sample proportion of size n, we have that

In this problem, we have that:

So

What is the probability that the proportion of tickets sold in a sample of 592 tickets would be less than 13%?

This is the pvalue of Z when X = 0.13. So

has a pvalue of 0.0228

0.0228 = 2.28% probability that the proportion of tickets sold in a sample of 592 tickets would be less than 13%

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: