Answer: The answer is (22, 15).
Step-by-step explanation: Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.
Then, according to the given information, we have

Multiplying the first equation by 2 and adding to the second equation, we have

So,

Therefore, Leonard has 22 cars and Liam has 15 cars.
Thus, (22, 15) is the solution to the given system.
Answer:
74.86% probability that a component is at least 12 centimeters long.
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:

Variance is 9.
The standard deviation is the square root of the variance.
So

Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
The awnser to this problem is either 12 or 7 by using multiplication or addition
Answer:
5/6
Step-by-step explanation:
The total number of writing utensils is 6, explaining the denominator. the numbers of pens added together is 5, explaining the numerator.
9514 1404 393
Answer:
a = any positive multiple of 3
Step-by-step explanation:
You want ...
(5 1/3)/(4/a) = whole number
(16/3)·(a/4) = whole number
(4a/3) = whole number
This will be the case for a = 3n, for any positive integer n.