Answer: 1. 0.0256
2. 0.4096
Step-by-step explanation:
Binomial probability formula , to find the probability of getting x successes:
, where n= Total number of trials
p= Probability of getting success in each trial.
Let x be the number of customers will make purchase.
As per given , we have
p= 0.20
n= 4
1. The probability that 3 of the next 4 customers will make a purchase will be:-

![P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]](https://tex.z-dn.net/?f=P%28x%3D3%29%3D%284%29%280.20%29%5E3%280.80%29%5E%7B1%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7Bn-1%7D%3Dn%5D)

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256
2. The probability that none of the next 4 customers will make a purchase will be :

![P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%281%29%280.80%29%5E%7B4%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7B0%7D%3D1%5D)

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096
The answer is A.5/8.
Why?
Multiply 1/4 with 2/2 to get the same denominator as 7/8, 8. That will yield 2/8.Then, simply subtract 2/8 from 7/8 (7/8 - 2/8), and that equals 5/8.
Hope this helps!
Answer:
Scalene, Acute
Step-by-step explanation:
Scalene because each side has a different length
obtuse because one angle is more than 90°
So we have the opp and hyp, use sine.
sinx=O/H
sinx=4/7
inverse sine to isolate x.
x=sin⁻¹(4/7)
x=34.84
Add together the time it takes to put on the four wheels and the hood.
2.054s +3.652s = 5.704s
multiple this answer by 42
5.706s times 42= 239.652s
answer number two is correct