3*|2-7| = 3*|-5|......absolute values are positive even when they say negative.
so 3*| -5 | = 3 * 5 = 15
Answer:
The probability that they purchased a green or a gray sweater is 
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
- P(A)= the probability that they purchased a green sweater
- P(B)= the probability that they purchased a gray sweater
- Mutually exclusive events
You know:
- 8 purchased green sweaters
- 4 purchased gray sweaters
- number of possible cases= 12 + 8 + 4+ 7= 21
So:
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= 
P(A∪B)= 
<u><em>The probability that they purchased a green or a gray sweater is </em></u>
<u><em></em></u>
Answer:
The complement of an angle is what, when added to it, equals 90 degrees (90°). For example, in your problem, 90°-85°=5°. This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle.
The supplement of an angle is what, when added to it, equals 180 degrees.
For example, in your problem, 180°-85°=95°. This means that the supplement of 85° is 95°, since they add up to equal 180 degrees a straight angle.
The <em>correct answer</em> is:
He paid the correct amount.
Explanation:
First we find the subtotal of Manny's items:
32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31
Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:
0.9(117.31) = 105.579
Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:
1.08(105.579) = 114.02532 ≈ 114.03
Since this is what he paid, he paid the correct amount.