Answer:
2x(5x + 14) + 15
Step-by-step explanation:
Given: (2 + 3)(4x + 5) - 8x(
- 2)
(2 + 3)(4x + 5) - 8x(
- 2) = 2
(4x + 5) + 3(4x + 5) - 8x(
- 2)
= (8 + 10
+ 12x + 15) - 8
+ 16x
= 8 + 10
+ 12x + 15 - 8
+ 16x
collecting like terms to have,
8- 8
+ 10
+ 12x + 16x + 15
10 + 28x + 15
Thus,
(2 + 3)(4x + 5) - 8x(
- 2) = 10
+ 28x + 15
= 2x(5x + 14) + 15
Answer:
The wide of the walkway is 5ft.
Step-by-step explanation:
In first place you have a rectangular garden of 30ft by 40 ft as shown in Figure 1 (Added file).
So, the area of this rectangle is:
Area=1200ft
Now, the new garden has a walkway of uniform width around it, and the area of the new rectangle is one-half the area of the old garden
In order to be a walkway of uniform width it's necessary to substract of each side the same amount, for this case will be 5 ft, as shown in the Figure 2. Now the new rectangule is 20ft by 30ft.
Which is exactly one-half the area of the old garden.
This means the width of the walkway is 5ft.
Answer:
Wife' s IQ = 100
0.2% are smarter than their wives.
Step-by-step explanation:
We are given the following information in the question:
Husband:
Mean = 105
SD = 15
Wife:
Mean = 110
SD = 10
Correlation between husband's and wife's IQ = 0.5
a) Let the husbands be represented by X and wives by Y.
Man's IQ = 75
Standardizing the scores, we get:
Formula:
We know that if we standardize our scores then:
Putting value, we get:
So,
b) Standard deviation of IQ's of wives married to husbands with IQ of 75 is:
We know that a husband of an IQ 75 will have a wife of a mean IQ of 100. So for a man to be smarter than his wife she should have IQ less than 75.