Answer:
- Length = 43 inches
- Width = 12 inches
Step-by-step explanation:
Perimeter of a rectangle = 2 * ( L + W)
The length of a rectangle is 5 inches less than 4 times the width.
Assume the width is x. Length is:
4x - 5
Equation is therefore:
2 * (4x - 5 + x) = 110
4x - 5 + x = 110/2
5x - 5 = 55
5x = 55 + 5
x = 60/5
x = 12 inches
If width is 12 inches, then length is:
= 4x - 5
= 4 * 12 -5
= 43 inches
Answer:
220 [mm²].
Step-by-step explanation:
all the details are in the attachment, the answer is marked with pink colour.
The tens place will be where the zero is which the value would be 70 since the 7 is in the thousand place the value is 7,000
Bro that is easy just pau
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>