Suppose Apple claims that the average wait time for a customer calling the Apple Care support line is 175 sec-onds. A random sample of 40 customers had an average wait time of 187 seconds. Assume the population standard deviation for wait time is 50 seconds. Using a 95% confidence interval, does this sample support Apple?

yes

95% confidence intervals for the apple care support

(171.505 ,202.495)

Step-by-step explanation:

Step(i):-

Given Mean of the Population = 175 seconds

Random sample size 'n' =40

Mean of the sample = 187 seconds

Standard deviation of the Population = 50 seconds

Step(ii):-

95% confidence intervals for the mean is determined by

(187 -15.495 , 187 +15.495)

(171.505 ,202.495)

Final answer:-

95% confidence intervals for the apple care support

(171.505 ,202.495)

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2