Answer:
easy the answer is b
Step-by-step explanation:
the reason that is, is becuase I said so and I have a graphing calculator chow....
Answer:
translated left by 6 units
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left of a units
• If a < 0 then shift right by a units
g(x) = (x + 6)² + 3
Indicating a shift of f(x) to the left by 6 units
The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
<h3>Area of a rectangle</h3>
Givene the dimensiion of Philip and Laura's pool as:
Length = (x - 5)
Width = (3x + 2)
Given the area expressed as:
f(x) = (x - 5)(3x + 2)feet
Taking the product will give:
f(x) = 3x^2 + 2x -15x - 10
f(x) = 3x^2 - 13x - 10
Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
Learn more on area of rectangle here: brainly.com/question/25292087
Answer:
> a<-rnorm(20,50,6)
> a
[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905
[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501
Then we can find the mean and the standard deviation with the following formulas:
> mean(a)
[1] 50.72451
> sqrt(var(a))
[1] 7.470221
Step-by-step explanation:
For this case first we need to create the sample of size 20 for the following distribution:

And we can use the following code: rnorm(20,50,6) and we got this output:
> a<-rnorm(20,50,6)
> a
[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905
[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501
Then we can find the mean and the standard deviation with the following formulas:
> mean(a)
[1] 50.72451
> sqrt(var(a))
[1] 7.470221