Answer:

Step-by-step explanation:
Given


Required

Since the events are mutually exclusive, then:

So, we have:

Take LCM



The are of the trapezoid is 125
The absolute value
returns the "positive version" of a number.
In other words, if the number is positive, it remains positive; if the number is negative, it changes sign.
So, if we want
, we want the "positive version" of x to be 9.
This can happen in two ways: if x is already 9, then its absolute value is still nine. If instead x=-9, its positive value will be 9 again.
In formula, we have

because

Answer:
Alex is 2 1/4 inches longer than Maddy
Step-by-step explanation:
Alex is longer than Maddy
20 3/4 - 18 1/2
Get a common denominator
20 3/4 - 18 2/4
2 1/4
Alex is 2 1/4 inches longer than Maddy
Maddy is -2 1/4 inches longer than Alex
Answer:
5
Step-by-step explanation:
move the terms
collect like terms
calculate
divide both side