There are two choices for each child: overweight (o) or underweight (u). So if the first child is o the next can be o or u. If the first is u the second can be o or u. This gives four possibilities. Here the first child is the letter noted first and the second is the one listed second:
OO
OU
UO
UU
There are 4 outcomes and if each is equally likely then the probability of each is 1/4. Thus the probability of UU is 1/4
The probability of one underweight and one over weight is 1/2 because in two of the outcomes listed above there is one O and one U (namely OU and UO). Since there are 4 outcomes the probability is 2/4 = 1/2
Answer: the original price of the shorts was $25
Step-by-step explanation:
Let x represent the original price of the shorts.
The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is
20/100 × x = 0.2x
The price of the shorts would be
x - 0.2x = 0.8x
If the sales tax is 5%, then the amount of sales tax charged is
5/100 × 0.8x = 0.04x
The final cost of the shorts would be
0.8x + 0.04x = 0.84x
Including tax, Jennifer paid $21 for a pair of shorts. This means that
0.84x = 21
x = 21/0.84
x = 25
For this case we must factor the following expression:
We rewrite the middle term as a sum of two terms whose product is
And whose sum is
These numbers are:
-5 and -3
So:
We factor the maximum common denominator of each group:
We take common factor
Answer:
