Answer:
Step-by-step explanation:
Radius is <u>1/2</u> of the diameter
or
Diameter is <u>2</u> of the radius
Answer:
Please find attached the required graph of the inequality representing the temperatures yeast will NOT thrive
Step-by-step explanation:
The given parameters are;
The temperature range, y, in which yeast thrives is 90°F ≤ y ≤ 95°F
Therefore, the temperature range, y', in which yeast will not thrive is 90°F > y and y > 95°F
The graph of the inequality that represents the temperature is therefore given as shown in the attached drawing.
It would be 7.5/60 which equals .125
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
Answer:
p - a - c = b
Step-by-step explanation:
p = a + b + c
subtract a and b from both sides to isolate c
p - a - c = a - a + b
+ c - c