Answer:
Step-by-step explanation:
10.
- x + 57 = 116
- x = 116 - 57
- x = 59
11.
- y = 180 - 112 = 68
- x= 180 - 2*68 = 44
12.
- 4x + 10 = 180 - 2*40
- 4x + 10 = 100
- 4x = 90
- x = 90/4
- x = 22.5
13.
Answer:
1/3
Step-by-step explanation:
Left over pie=5/8
Payton eats=1/8 of the left over pie
Joy eats =1/6 of the left over pie
Total pie eaten by Payton and joy= 1/8+1/6
To add the fraction,
Find the lowest common multiple of 6 and 8 which is 48
Then,
divide 48 by 8 multiplied by 1 which is 6,
divide 48 by 6 multiplied by 1 which is 8
We have,
=6+8/48
=14/48
=7/24
Total pie eaten by Peyton and joy=7/24
Total pie left(after Peyton and joy share)= Total left over- total pie eaten by Peyton and joy
=5/8-7/24
=15-7/24
=8/24
=1/3
Answer:
The standard deviation of the sample mean differences is _5.23_
Step-by-step explanation:
We have a sample of a population A and a sample of a population B.
For the sample of population A, the standard deviation
is

The sample size
is:
.
For the sample of population B, the standard deviation
is

The sample size
is:
.
Then the standard deviation for the difference of means has the following form:

Finally

Binomial theory : ( a - b ) ^3 = a^3 - 3a^2b + 3ab^2 - b^3 ;
Then, ( 2y - 3x ) ^3 = 8y^3 - 36y^2x + 54yx^2 - 27x^3
Answer:
9x3=27
Step-by-step explanation:
when we break the question down, we can see that the height of the prism is 9 and the width is 3 all we have to do is multiply 9 by 3 to get out answer of 27