Answer:
V = 38659.68 cm^3
Step-by-step explanation:
If we pretend A barrel is a cylinder we use V=πr^2h for the volume. We know h, but we need to find r
The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.
C = 2πr
56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14
56.52/(2*3.14) = r
9 cm = r
Now we can just plug into the volume.
V=πr^2h
V = 3.14 * 9^2 * 152
V = 38659.68 cm^3
I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.
Answer:
We want a confidence of 99% so then the significance level would be 1%
The degrees of freedom are given by:
And the critical value using the significance level and and the critical value would be:
Step-by-step explanation:
We know the following info :
represent the standard deviation from the sample
represent the sample size selected
We want a confidence of 99% so then the significance level would be 1%
The degrees of freedom are given by:
And the critical value using the significance level and and the critical value would be:
Answer: 24ways
Step-by-step explanation:
Given data:
No of men in the workplace = 7
No of women in the workplace = 1
How many ways can a group of 4 people carry out a project if on out of the 3 must be a woman.
Solution.
A group of 4 can carry out the project with one be a woman
This means there must be 3 males and 1 female in the group
= 4p3
= 24ways
The project can be carried out by 4 groups in 24 ways
Answer:
The expected number of students to prefer summer=245
Step-by-step explanation:
Step 1
Determine the number of students that prefer summer as their favorite season, and the sample size
number that prefer summer=7
sample size=10
Step 2
Determine the probability of a student picking summer as their favorite season as shown;
Probability=number that prefer summer/sample size
Probability=7/10=0.7
Step 3
Determine the total number of students out of the total population that can be expected to prefer summer as follows;
Expected number of students=probability×total number of students
where;
probability=0.7
total number of students=350
replacing;
Expected number of students=(0.7×350)=245
The expected number of students to prefer summer=245