a.

b.

c. By the law of total probability,

According to the inclusion/exclusion principle,

but by DeMorgan's law,

So

and from there we find

d. The event of having at most two of these defects is complementary to the event that all three defects occur simultaneously:

Answer: A
Step-by-step explanation:
Given:
Budget = $25
Shoes rental = $5.00
Price per game = $4.00
To find the greatest number of games he played...
↓
First, subtract the rent for the shoes from the budget.
25 - 5 = 20
Second, divide the remaining money or budget by the price per game.
20 ÷ 4 = 5 (greatest number of games played)
Lastly, check if the expense is the same as the original amount of money.
5 (shoes) + 4(5) (number of games played)
5 + 20 = 25 (original amount of money)
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Since they are similar, and a side of 10 = a side of 4, the ratio would be 2.5 : 1. You would do 6 * 2.5, which would equal 15, and (15 + 2) / 2 = 8.5 or 17/2
from question d = 16t^2 = 56-4t
=》 16t^2 -56 + 4t =0
=》 4t^2 - 14 + t = 0
=》 (4t-7)(t+2) =0
=》 t = 1.75 seconds
Answer:
see below
Step-by-step explanation:
27.
We can use ratios to solve
152 dollars 532 dollars
---------------- = ----------------
4 days x days
Using cross products
152x = 4*532
152x =2128
Divide each side by 152
152x/152 = 2128/152
x =14
14 days
29.
1 inch 2/3 inches
------------ = ----------------
6.5 ft x ft
Using cross products
1x = 2/3 * 6.5
x = 4.333333
c = 4 1/3 ft