Answer:

Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:

Hence, the smallest desired sample size is 23
Answer:
- C. neither. the roof and walls are the same shade of green
Step-by-step explanation:
<u>The first batch:</u>
- Some white and some green
<u>The second batch:</u>
- Triple amount of white and triple amount of green
As we see the ratio of white to green has not changed
Therefore there won't be any difference in painting
Correct answer choice is C.
Answer:
The length of the bulletin board is 
The width of the bulletin board is 
Step-by-step explanation:
Let
x-----> the length of the bulletin board
y-----> the width of the bulletin board
we know that
The area of the rectangle (bulletin board) is equal to

we have

so
------> equation A
------> equation B
substitute equation B in equation A and solve for y

Using a graphing calculator------> solve the quadratic equation
The solution is

see the attached figure
Find the value of x

Answer:
60
Step-by-step explanation:
0.25
2×5
10
0.25×10
=2.5
;4×6
=24
:2.5×24
=60
Answer:
Step-by-step explanation:
x(7x^2+4x) can be expanded by multiplying each of the two terms inside the parentheses by x:
x(7x^2+4x) = 7x^3 + 4x^2