g Let Θ ∼ Uniform[0, 2π]. Let X = cos Θ, Y = sin Θ. (a) Show that X and Y are uncorrelated random variables (b) Show that X and Y are not independent random variables by showing that X2 and Y 2 are not uncorrelated random variables. (c) Show that X and Y are not independent random variables by showing that {− √ 1 2 < X < √ 1 2 }, {− √ 1 2 < Y < √ 1 2 } are not independent events. Remark: (b) and (c) are indirect ways of showing that X and Y are not independent.

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:

it is not that hard all u have to do is plot the graph

step-by-step explanation:

step-by-step explanation:

what is the question?