Ok so this question is a bit complicated, but it's easier to understand if you break it down into smaller parts!
1) First, you know that ABGF is half the perimeter of ACDE. This means that the length of one side of ABGF must be 1/2 the length of one side of ACDE.
>> You can think of this by putting in random numbers. Say the perimeter of the larger square is 24 and the perimeter of the smaller square is 12. That means one side of the larger square of 24/4 (b/c four sides) = 6 and one side of the smaller square is 12/4 = 3!
2. Ok know you know the lengths of the sides relative to each other, but you're only given one value: 4in. Since the smaller square has sides that are 1/2 the larger squares, you know that it makes up 1/4 of the larger square! So imagine 4 of those smaller squares filling up that larger square to make a 2 by 2. It just so happens that 4in is the diagonal going through one of our imaginary squares, which is equal in size to ABGF!
3. Now use the 45-45-90 rule to figure out the length of one side of that imaginary square because the 4in diagonal splits that imaginary square into two of those 45-45-90 triangles. You know the hypotenuse of that triangle is 4in. That means one of the legs is 4/✓2 (since the rule says that the hypotenuse and the leg are in a ✓2:1 ratio). And like we said before the length of that leg is the length of the side of our imaginary square. And our imaginary square must be the same size as ABGF! So now we know the side of the smaller square to be 4/✓2!
4. Multiply the side of the smaller square by 2 to get the side of our larger square. (4/✓2)*2=8/✓2
5. Now to find the area of the shaded region, just find the area of the smaller square ABGF and subtract from the larger square ACDE. Use equation for the area of a square!

where s=the length of one side.
The length of one side of the smaller square is 4/✓2. So it's area is:

The length of one side of the larger square is 8/✓2. So it's area is:

Now subtract. 32-8=24! :)
Hope this helps! Let me know if you have any questions.
I had a super-ugly equation that didn’t work, but it got me close. (24,000/12,000/12,000 or so)
Then I adjusted the numbers to make the money work.
I’m sorry I can’t help more.
24,000(25) + 14,200(20) + 9,800(15)
= 600,000 + 284,000 + 147,000 = 1,031,000
Section A = 24,000 seats
Section B = 14,200 seats
Section C = 9,800 seats
14,200 + 9,800 = 24,000 seats
Answer:
7,14,21,28,35,42,49 are all dividible by 7. That are 7 Numbers. However we are looking for All the Numbers that are not a multiple of 7.
So 50-7=43.
There are 43 Numbers which are not a multiple of 7.
So 43/50=0.86
The probability is 0.86 or a 86% chance that the generator will select a Number which is not a multiple of 7.
Answer:
A. Increase the level of confidence
Step-by-step explanation:
The margin of error is given by:
The margin of error is:
In which T is related to the level of confidence(the higher the level of confidence, the higher T is), s is the standard deviation of the sample and n is the size of the sample.
Increase the width:
That is, increasing the margin of error, as the width is twice the margin of error, the possible options are:
Increase T -> increase confidence level.
Increase s -> Increase the standard deviation of the sample.
Decrease n -> Decrease the sample size.
Thus, the correct answer is given by option A.
For number 17 changed the 13 3/8 into a decimal to help you. 3/4 would be .75 and 13 3/8 would be 13.375
13.374 +.75 = 14 1/8 which would be 14. 125
14.125 + .75= 14 7/8 which would be 14. 875
so you can carry two more water bottles