Suppose that on a certain examination in advanced mathematics, students from university A achieve scores that are normally distributed with a mean of 525 and a variance of 150, and students from university B achieve scores which are normally distributed with a mean of 550 and a variance of 110. Suppose that a student is selected at random from university A, and independently, one student is selected at random from university B. Determine the probability that the student from university A achieves a lower score than the student from university B.

1221

Step-by-step explanation:

add vs subtract

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: