R2-4r-77 = (r-11)(r+7)
r has to be greater than 11 in order for the formula to represent the area of a rug since a side length cannot be less than or equal to 0.
Answer:
c. 24 is a solution
Step-by-step explanation:
Given equation:

To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable
and see if it satisfies the equation.
1) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement can never be true and hence 22 is not a solution.
2) 

The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement is always true and hence 24 is a solution.
4) 

The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
Answer: 306.9
Step-by-step explanation: 3.1 x 11 = 34.1 x 9 = 306.9
Answer:
The statement that "the margin of error was given as
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval
; where
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:

Where:
is the critical value that corresponds to the confidence level; the confidence level being
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage