Foot Locker uses sales per square foot as a measure of store productivity. Last year, the mean annual sales per square foot was $370 with a standard deviation of $38.54. Suppose you take a random sample of 64 Foot Locker stores operating last year. There is a 18% probability that the sample mean annual sales per square foot is at most $.

a. 374.4321
b. None of the answers is correct
c. 365.5679
d. 334.5432
e. 405.4568

a. 374.4321

Step-by-step explanation:

Taking the central limit theorem(number of samples is large) into consideration, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/(σ/√n)

Where

x = annual sales per square foot .

µ = mean annual sales per square foot

σ = standard deviation

n = number of samples

From the information given,

µ = $370

σ = $38.54

n = 64

The probability value is 18/100 = 0.18

Looking at the normal distribution table, the z score corresponding to the probability value is - 0.92

Therefore,

- 0.92 = (x - 370)/(38.54/√64)

x - 370 = - 0.9 × 4.8175 = 4.33575

x = 370 + 4.4321 = $374.4321

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: