Please help me break these down in COMPUTATIONAL MATH WORK

Sociology researchers Pam and Ale G, were interested in studying trends in human body temperatures affected by social inequality. The latest world data shows an average body temperature of around 98^o F.

The couple selected a sample of 135 Chaffey College students showing a sample mean of 98^o F., and a standard deviation of 10.

Convert x = 89 to a z score.

Convert z=-1.5 to a raw score.

What is the probability that a student will report a body temperature of 99 degrees or higher?

z score is

probability is

How many students would have body temperatures between 98.5 and 99.1?

First z score (x=98.5) is

Second z score (x=99.1) is

First proportion (x=98.5) is

Second proportion (99.1) is

Final total proportion is

Number of students is

Percentile of body temperature score 98.72

z score is

percentile is

Proportion of body temperature scores between 96.9 and 98.1.

First z score (x=96.9) is

Second z score (x=98.1) is

First proportion (x=96.9) is

Second proportion (98.1) is

Final total proportions

Those whose body temperature is in the top 15% will receive a free air conditioner unit installed in their home every five years for life. What will be the lowest score of the top 15% that makes the cutoff point?

Proportion is

Z score is

Raw score is

z score formula you used was