find the distance of the each data value below from the mean . Then find the mean absolute deviation of the data . Round all cal
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Answer:
35 quarters
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
is an equation representing the total number of coins
is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get . We now substitute this for d in the second equation.
After simplifying, we subtract 6 across and divide by the coefficient of q.
We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.
The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is
and similarly, the r% of female is
The number of males decreased by this quantity, so now it is
and the number of female increased by this quantity, so now it is
we know that these two new counts are the same number, so we can build and solve the equality
Subtract 20 and add 0.3r from both sides:
Divide both sides by 0.5 to solve for r:
Let's check the answer
The 20% of 30 is , while the 20% of 20 is 4. So, we are stating that
which is true because both expressions evaluate to 24.