Answer: 5.14 cu in
Step-by-step explanation:
1/2 (π × d) + d, where d is the diameter of the semi
Perimeter = 1/2 (3.14 x 2) + 2
= 1/2 * 6.28 + 2
= 3.14 + 2
Answer: 0.1840
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : The probability of the community favored building a police substation in their neighborhood = 0.64
If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840
The slope of the line (m) = 3/1 = 3
and the y intercept is at (0,3) that is y = 3 so b = 3
using the slope intercept form y = mx + b
m = 3 and b = 3
so answer is y = 3x + 3
Using the binomial distribution, it is found that:
The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 20 questions, hence
.
- Each question has 2 options, one of which is correct, hence

The probability is:

In which:







Then:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer:
Volume = 308
Step-by-step explanation:
Volume of a rectangular prism = Height * Width * Depth
Sub in the three values and solve
V = 11 * 7 * 4
V = 308