Let x denote the reaction time, in seconds, to a certain stimulusand y denote the temperature (F) at which a certain reaction startsto take place. Suppose that two random variables x and y havethe joint density. f(x, y) = {4xy, 0< x < 1, 0 < y < 1 {0, elsewhereFind(a) P(0 <= x <= 1/2 and 1/4 <= y <= 1/2)(b) P(x < y)

f

step-by-step explanation:

f

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

step-by-step explanation: