<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
Answer:
irrational
Step-by-step explanation:
A = s^2
s^2 = 24,200





P = 4s


The perimeter is irrational.
When you think about it. It's actually quite easy.
The number are the amount of miles, and the variables are the amount of hours. So we would just have to multiply them. So, by putting the number together we would be able to multiply them once we have the numbers for the variables. Since we dont have them, we can just make the inequality. It says that car 1 traveled at LEAST that of car 2. Showing that car 1 may have traveled farther. SOOOOO........ the inequality should look like this:
165x <span>≥ 175y</span>
Answer:
The length is
and the breadth is 
Step-by-step explanation:
Let
x ----> the length of a rectangular campsite
y ----> the breadth of a rectangular campsite
we know that
The perimeter of a rectangle is equal to


so

------> equation A
The area of a rectangle is equal to


so
-----> equation B
substitute equation A in equation B

Solve the quadratic equation by graphing
The solution is
( I assume that the length is greater than the breadth)
see the attached figure
Find the value of y

therefore
The length is
and the breadth is 
Answer:
One solution x = 2
Step-by-step explanation:
Given the equation:

Multiply this equation by 2:

Use distributive property:

Combine the like terms:

Thus, this equation has one solution x = 2