Answer:
The sheet should be turned up 7.5cm on each side to obtain maximum volume.
Step-by-step explanation:
If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.
Height of eaves trough = x cm
Length of eaves trough = 600 cm
Width of eaves trough = (30 - 2x) cm
We know that Volume is given by:
V = Length · Width · Height
V = (x)(30 - 2x)(600)
V = -1200x² + 18000x
To maximize the volume, we take the derivative and put it equal to zero.
Answer:
1/8
Step-by-step explanation:
This is actually pretty easy.
First, you have the sample of the children.
You know that the family with 3 children, can only have the following children:
MMM: all males
MMF: 2 males, 1 female
MFF: 1 male, 2 females
MFM: 2 males, 1 female (different order)
FMM: 1 female, 2 males
FFM: 2 females, 1 male
FMF: 2 females, 1 male
FFF: 3 females
If you count all of these possibilities, we have 8 possible cases of family with the childrens.
In only one of them, we have only females and no males, which is the last one, all 3 females.
Therefore, the probability to select a family with no male, is only 1/8.
Answer:
7
Step-by-step explanation:
Note the factors of each number. Prime numbers are numbers that can only be factored to itself and 1. Note:
Factors of 1:
1
Factors of 3:
1 , 3
Factors of 7:
1 , 7
Factors of 9:
1 , 3 , 9
Factors of 21:
1 , 3 , 7 , 21
Factors of 63:
1 , 3 , 7 , 9 , 21 , 63
Answer:
9.1
Step-by-step explanation:
I think this because it is 9 boxes away from the other points, plus it sloped a bit...
