Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.
In fact, if the daughter weights pound, the mother weights
pounds, and the total weight is
.
We know that this total is 185 pounds, so we have
So, the daughter weights 37 pounds.
ANSWER
EXPLANATION
We want to find the constant that must be added to
to form a perfect square.
Comparing the given expression to
we have
a=1 , b=-3 , and c=0.
We need to add
We substitute the values to get,
We change this to mix numbers to get,
The last choice is correct.
Jason's scores : 80 90 95 85 70 and
Jill's score : 70 75 90 100 95.
Mean of Jason's scores =
Mean of Jill's scores =
Now, in order to find the mean absolute deviation, need to find the difference of each score from means.
<u>Mean absolute deviation for Jason's scores.</u>
|84-80| = 4
|84-90| = 6
|84-95| = 9
|84-85| = 1
|84-70|= 14
<u>Mean absolute deviation for Jill's scores</u>
|86-70| = 16
|86-75| = 11
|86-90| = 4
|86-100| = 14
|86-95|= 9
Jill got average quiz score 86 and Jason got 84.
Therefore, Jill got better quiz average.
Also, the mean absolute deviation for Jason scores is less that is 6.8 than 10.8.
Therefore, Jason got more consistent grades.