Answer:
9(8+y)
Step-by-step explanation:
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There a 4 quarts in 1 gallon, so he will fill and empty the container 20 times.
Answer:
121 smokers
Step-by-step explanation:
This can be calculated as a simple rule of 3.
In these problems, the first step is identifying the measures in the problem. Then, we must identify whether their relation is direct or inverse.
When it is direct, as one measure increases, the other will increase too.
When it is inverse, as one measure increases, the other will decrease.
In this problem, the measures are the number of people over 12 that smoke, and the total number of people over 12. Their relation is direct, because as the number of people increases, the number of smokers will increase too.
So we must solve the following rule of three:
22 smokers - 100 people
x smokers - 550 people
x = 550*22/100
x = 22*5.5
x = 121 smokers.
So, in a group off 550 people over the age of 12, there are 121 expected smokers.
Answer:
x= -8
Step-by-step explanation:
This can be done several ways:
The easiest is to factor out 12 from both sides so:
12(9-6x) = 12 (58-1)
12(9-6x) = 12 (57)
Cancel 12 from both sides so:
9-6x = 57, then...
-6x = 48
x= -8
Answer:
38.59% probability that inflation rate will be below 1.9% in 2019
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 the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019?
This is the pvalue of Z when X = 1.9. So
has a pvalue of 0.3859
38.59% probability that inflation rate will be below 1.9% in 2019
