Agrocery stores studies how long it takes customers to get through the speed check lane. they assume that if it takes more than 10 minutes, the customer will be upset. find the probability that a randomly selected customer takes more than 10 minutes if the average is 8.56 minutes with a standard deviation of 1.04 minutes.

The probability that a randomly selected customer takes more than 10 minutes will be 8.38%

Explanation

The average or mean is 8.56 minutes and standard deviation is 1.04 minutes.

Formula for finding the z-score is:  

So, the z-score for 10 minutes will be.....

Now, according to the standard normal distribution table,   . So.....

So, the probability that a randomly selected customer takes more than 10 minutes will be 8.38%

sup

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq