I have answered this question before.
Given:
Bob has three kids whose ages has the product of 72. I will only be able to give you a set of 3 numbers to represent the ages. Had the sum of the ages been given, the specific ages would be provided.
I just did a prime factorization of 72.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72 ⇒ 2³ x 3²
There are a lot of possible combinations, here are a few.
1 x 8 x 9 = 72 ⇒ 1 + 8 + 9 = 18
1 x 4 x 18 = 72 ⇒ 1 + 4 + 18 = 23
<span>2 x 4 x 9 = 72 ⇒ 2 + 4 + 9 = 15</span>
Answer:
34.01% probability that his score is at least 532.1.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

If 1 of the men is randomly selected, find the probability that his score is at least 532.1.
This is 1 subtracted by the pvalue of Z when X = 532.1. So



has a pvalue of 0.6591
1 - 0.6591 = 0.3409
34.01% probability that his score is at least 532.1.
Answer:
20160 ways
Probability = 0.0556
Step-by-step explanation:
We have 9 different letters, so the total number of words we can make is:

If we want just the words that begin with L and end with a vowel, we would have the first letter "locked", so we have 8 letters remaining, and it must end with a vowel, so the last "slot" has just 4 possible values (A, E, I or O). Then we would have 4 possible values for the last letter and 7 remaining letters in the middle of the word:

The probability is calculated by the division of the number of words we want over the total number of words:

Answer:
Step-by-step explanation:
The larger the number is in front of the negative the smaller the number is. Fir example -90 is smaller than -5.