Patrons in the children's section of a local branch library were randomly selected and asked their ages. The librarian wants to
use the data to infer the ages of all patrons of the children's section so he can select age-appropriate activities. The ages of the children in the random sample are shown below. 6, 4, 3, 10, 5, 4, 7, 11, 5, 7 Make a dot plot of the sample population data.
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Answer:
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
Step-by-step explanation:
There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:
We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:
Applying these values on the first equation, we have:
Applying z to the formulas of y and x, we have:
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
We have to simplify and get the value of x from this inequality given:
Given inequality,
Now let's simplify by using distributive property,
We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.
Now, dividing -2 from both sides.
Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.
Now subtracting -7 from both sides,
Or, Interval of the equal
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