Given that t<span>he
manager of Theatre A says that they usually go through about 15 cups of
popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio </span><span>value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that t</span><span>he manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the </span>ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that t<span>he manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the </span>ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
This is a non replacement question, so each letter decreases by 1.
No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.
First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).
21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22
2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.
Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473
Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846
A sample size of 60 is required.
We use the formula

We first find the z-score associated with this level of confidence:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.99 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575:
Answer:
2*10 ^6 shoes in 10 years
Step-by-step explanation:
1.81 × 10^4 pairs of shoes each month
1.2 × 10^2 months in 10 years
Multiply these together to determine the number of shoes in 10 years
1.81 × 10^4 * 1.2 × 10^2
We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1
2 × 10^4 * 1 × 10^2
Multiply the numbers
2*1 = 2
Add the exponent
10 ^ ( 4+2)
10 ^6
Put this back together
2*10 ^6
Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.
Step-by-step explanation: