Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere.
Step-by-step explanation:
Kayla is correct. Raymond is wrong because a point cannot be a radius: a radius is a line segment from the center to the surface.
The center is the fixed point in the middle of the sphere.
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:
35 adult tickets were sold
Step-by-step explanation:
If 35 adult tickets were sold, that would be $210
If 22 child tickets were sold, that would be $55
When you add them together, you get 57 tickets and $265.
(I'm sorry I don't know how to explain this but I hope it helped anyway)
Answer:
8.33%
Step-by-step explanation:
Formula for percent error:

Using this formula, we get:

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