BD = AC/2
4x+2 = (5x+13)/2
2(4x+2) = 5x+13
8x + 4 = 5x+13
8x - 5x = 13 -4
3x = 9
x = 3
Answer:
The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.
Step-by-step explanation:
The population's proportion is 
If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

Answer:
x= 0.78 (rounded to the hundredth)
Step-by-step explanation:
-5.5x + 0.46 = -3.94
You need to isolate x so the easiest thing to do is subtract 0.46 and move it to the other side of the equal sign.
-5.5x= -3.84 - 0.46
-5.5x = -4.3
divide -5.5 to get x alone
x= -4.3/-5.5
x= 0.78
1 gallon cost $15
1 quarts cost $4
1 quarts = 1/4 gallon
15x for number of gallon cans
2 cans at $4 each = $8
15x + 8 = 53
Subtract 8 from both sides:
15x = 53-8
15x = 45
Divide both sides by 15:
x = 45/15
x = 3
She bought 3 gallon cans of paint
Plus she bought 2 quart cans, which is equal to a half gallon.
She bought a total of 3.5 gallons of paint.