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Solve the problem.The scores on a certain test are normally distributed with a mean score of 60 and a standard deviation of 5. What is the probability that a sample of 90 students will have a mean score less than 60.527? Make sure to first define x-bar and check its normality before calculating the probability (5pts)Define x bar:x bar is normal because: Prob=

Find the domain and range.{(12,3), (12,-4), (-6,-8), (8,-6), (11,-5)}

Evaluate the function.Find f(-11) when f(x) = 2x + 4

Evaluate the function.Find f(3) when f(x) = x2 + 5x + 5.

x3 + 12×2 + 36x

The pythagorean theorem states that (leg)2 + (leg)2 = ()2.

Add the polynomials.(6×2 – 7x – 2) + (4×2 – 7x + 1)

(8a – 11)2

A toddler hears the neighbor’s dog growling. He has never heard a dog growl before, but he can tell by his older sister’s scared reaction that it is something to be afraid of and he runs to his mom crying. This is most clearly an example of

Researchers scheduled one group of nurses at a hospital to work 8-hour shifts for 6 days a week and another group of nurses to work 12-hour shifts for 4 days a week. At the end of the year, they compared results from a job satisfaction survey and found that the group who worked 12-hour shifts for 4 days a week had higher job satisfaction. The _______ variable in this study is the work schedule.