The area of a rectangle is length times width. Since a square's length is equal to its width, a square's area is equal to the length of one side times itself. So, reversed, the square root of the square's area gives the length of one side. In this case, the square root of 36 square centimeters is 6 centimeters. Again, since all four sides of a square are the same, its perimeter is equal to the length of one side times four. For a square with one side equal to 6 centimeters, the perimeter equals 24 centimeters.
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Answer:
a = 4, b = 8
Step-by-step explanation:
Rewrite 5b=6a+16 and 9a=7b-20 vertically:
5b=6a+16
9a=7b-20
Let's use substitution. Solve the first equation for b:
6a + 16
b = --------------
5
Substitute this result into the second equation:
9a = 7(b) + 16, or
6a + 16
9a = 7*-------------- - 20
5
Eliminate the fraction by multiplying all three terms by 5:
45a = 7(6a + 16) - 100, or
3a = 112 - 100, or:
3a = 12, which leads to a = 4.
Find b by subbing 4 for a in either of the given equations:
5b = 6(4) + 16, or
5b = 40, leading to b = 8
The solution is a = 4, b = 8
Answer:
The mean of the sampling distribution of sample proportions will be 0.2
Step-by-step explanation:
Central Limit Theorem for Proportions:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean 
and standard deviation 
20% of American adults ages 25 and older had never been married.
This means that 
So the mean of the sampling distribution of sample proportions will be 0.2
Say that xyz is your number, then y=4z and x+3=y
Since it is a multiple of 4, y has to be 4 or 8, which means z has to be 1 or 2, since it is 1/4 of y and then since x is 3 less than y, x would have to be 1 or 5...so the numbers are....141 or 582
