hi!
1) rewrite as a fraction
(2^4/2^2)^3
2) reduce the expression by cancelling out the common factors
so factor out 2^2 out of 2^4
3) multiply by 1 so,
(2^2 * 2^2/ 2^2 * 1)^3
4) continue to cancel out common factors the rewrite the expression to be
(2^2/1)^3
5) then divide 2^2 by 1 so, it will be (2^2)^3
6) lastly simplify the expression so apply the power rule and multiply so it will be 2^2*3
then it will be 2^6
and raise 2 to the power of 6 and you answer is 64
Answer:
B
explanation:
7x + 4 means you are adding 7 times x and four
Answer:
Step-by-step explanation:
4×22/7×2.6^2=85.0cm
The expected number of a distribution is its mean.
- The expected number of Americans who are satisfied with the way things are going in the United States is 6
- The standard deviation of Americans who are satisfied with the way things are going in the United States is 2.05
The given parameters are:
<em />
<em> --- the proportion that are satisfied</em>
<em />
<em> --- the sample size</em>
<em />
<u>(a) The expected number that are satisfied</u>
This is calculated using:

So, we have:


The expected number of Americans who are satisfied with the way things are going in the United States is 6
<u>(b) The standard deviation of those that are satisfied</u>
This is calculated using:

So, we have:




The standard deviation of Americans who are satisfied with the way things are going in the United States is 2.05
Read more about expected value and standard deviations at:
brainly.com/question/17088771
Answer:
The width is 18 feet and the length is 42 feet
Step-by-step explanation:
Let x feet be the width of the patio. The length of the patio is 6 feet longer than twice it’s width, then the length of the patio is 2x+6 feet.
Wayne is hanging a string of lights 78 feet long around the three sides of his patio, which is adjacent to his house. The side with length 2x+6 feet is adjacent to the house, so Wayne is hanging a string along three sides with lengths x ft, x ft and 2x+6 ft.
Hence,

The width
ft
The length
ft