Answer:
n = nickels, q = quarters
Equation 1: n+q=30
Equation 2: 0.05n+0.25q = 3.30
Step-by-step explanation:
From equation 1, n = 30-q
Substitute in Equation 2:
0.05(30-q) + 0.25q = 3.30
1.5 - 0.05q + 0.25q = 3.30
0.2q = 1.8
q = 9
Substitute in new equation:
n = 30-9
n = 21
It is important to note a nickel is worth 5 cents and a quarter is 25 cents. This helps us build the equations.
a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the 
is the complement of 
, then by DeMorgan's law,
Picture is to blurry fix the pic and I will answer it if I can
Step-by-step explanation:
yes because 61 is less than 87
