We want to estimate the population mean within 5, with a 99% level of confidence. The population standard deviation is estimated to be 15. How large a sample is required? (Round up your answer to the next whole number.)

 60

Step-by-step explanation:

Formula to calculate sample size (n):

, where = population standard deviation, E Margin of error , z* = critical value for the confidence interval.

As per given , we have

E =5

Critical value for 99% confidence = 2.576

Then,

So, Required sample size = 60 .

they are simplified

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3