Answer:
Step-by-step explanation:
The length and the width are based on the height.
height: h
length: 5h + 2
width: 3h - 2
If the sum of those is 126, then:
h + 5h + 2 + 3h - 2 = 126 and
9h = 126 so
h = 14
length is 5(14) + 2 which is 72
width is 3(14) - 2 which is 40
The volume is found by multiplying the length times the width times the height:
14 * 72 * 40 = 40,320 inches cubed
First you'll need two equations ( you can use any variables you want)
A= photo group 1
B= photo group 2
First equation:
A + B = 33
This is because the total number of photos from both groups is 33
Second equation:
4A = 7B
This is because the ratio is 4:7 so for every four photos in group A there must be 7 photons in group B.
Then take the first equation A + B = 33 and subtract B from both sides. Making the equation A = 33 - B
Then with that equation, substitute it in for equation 2 and it will look like this. 4(33-B) = 7B
Then distribute the 4 to the 33 and the -B making the equation 132 - 4B = 7B
Then add 4B to each side
Making the equation 132 = 11B
Then to get B by itself you must divide each side by 11 making the equation 132/11 = B which simplifies to 12 = B
Then plug in 12 for B in the first equation like this A + 12 = 33
Then subtract 12 on each side of the equation to isolate A so A = 21
So
A = 21
B = 12
Answer:
it's answer C
Step-by-step explanation:
hope this will help you
True, there is nothing in the expression to exclude any values....
Answer:
68.269%
Step-by-step explanation:
We start by calculating the z-scores of both numbers
Mathematically;
z-score = (x-mean)/SD
where x represents the raw score
For 82;
z-score = (82-87)/5 = -5/5 = -1
For 92;
z-score = (92-87)/5 = 5/5 = 1
So the probability we want to calculate would be;
P(-1 < x< 1)
We can use the standard normal distribution table to get this.
By using the distribution, P(-1<x<1) = 0.68269
By converting this to percentage, we have 68.269%
