Suppose that 45% of Computer Science Majors are currently taking a math class. If 5 Computer Science Majors are randomly chosen, what is the probability that all five are not taking a math class

0.01845

Step-by-step explanation:

Given : The probability that the Computer Science Majors are currently taking a math class : p= 0.45

Sample size : n= 5

Let x be the number of Computer Science Majors are currently taking a math class(successes).

Binomial probability formula:

The probability that all five are not taking a math class will be :

Hence, the required probability = 0.01845

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

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: