Hello from MrBillDoesMath!
Answer:
5 x^3 + 15 x^2 + 15 x + 5 , none of the provided choices
Discussion:
f(x) = 5 x^3
g(x) = x+ 1
=>
(f•g)(x) =
f(g(x)) =
f(x+1) =
5 * (x+1)^3 =
5 x^3 + 15 x^2 + 15 x + 5
which is none of the provided answers.
Thank you,
MrB
Answer
The probability of rolling a number of 2 is 1/6 (16.667%)
The probability of rolling a number of 3 is 2/6 (33.33%)
The probability of rolling a number 4 is 3/6 (50%)
The probability of rolling a number 5 is 4/6 (66.667%)
Explanation:
I’m not sure what you were trying to look for. So I put the probability for numbers 2,3,4, and 5. Your welcome, have a great day/night!.
Answer: 14 gallons of gas.
Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.
7/10 - 2/10 = 5/10.
7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.
7 x 2 = 14
14 gallons of gas will fill his tank all the way.
I hope this helps!
Answer:
a) Margin of error = 166.311
b) sample size ≥ 62
Step-by-step explanation:
Given:
Average cost = $1599
Sample size = 50 persons
Standard deviation = $600
Confidence level is 95%
a) Margin of error = 
Now for confidence level of 95% z-value = 1.96
Thus,
Margin of error = 
or
Margin of error = 166.311
b) For Margin of error ≤ 150
≤ 150
or
≤ 150
or
≤ √n
or
√n ≥ 7.84
or
n ≥ 61.4656
Therefore,
sample size ≥ 62
Answer:
G
Step-by-step explanation:
"Any particular event either (a) will happen or (b) won't happen."
That statement above is a certainty, probability = 100% = 1
This means the probability that event E <u>will </u>happen plus the probability that even E <u>won't </u>happen must add up to 100% = 1
So we can always say --> prob(E) + prob (not E) = 1
The probability you will roll a 5 on a fair, six-sided die is 1/6.
So we use that to find the probability of not rolling the 5.
1/6 + prob(not E) = 1
prob(not E) = 1 - 1/6 <---- This is answer G
prob(not E) = 5/6
Hope this helps.
