If a sample of size 41 is selected, the value of A for the probability P(-A ≤ t ≤ A) = 0.90 is:

1.684

Step-by-step explanation:

since sample size (n) is 41

confidence level = 0.90 = 90%

df = n - 1

df = 41 - 1

df = 40

that is For Degrees of Freedom = 40

significance level α = 1 - (confidence level / 100)

Significance Level α = 1 - (90/100 ) =  0.10

using the z-score

critical values of t = 1.684

A graph has been attached to further assist.

i have no clue at all sorry

step-by-step explanation:

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option