Answer:
a) 2/42
b)16/42
Step-by-step explanation:
a) 2/7 x 1/6 = 2/42
b) (1,2) (1,3) (2,3)
P(1,2) = 2/7 x 3/6 = 6/42
P(1,3) = 2/7 x 2/6 = 4/42
P(2,3) = 3/7 x 2/6 = 6/42
Add all = 6/42 + 4/42 + 6/42 = 16/42
108 divided by 9 = 12 x -12 = -144 divided by 6 = -24 - (100 divided by 5) =
-24 - 20 = -44
answer= -44
Answer:

Step-by-step explanation:
we know that
In the triangle XYZ
Applying the law of sines

solve for z


To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
(x-μ)/σ
we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50
Question 1
Total budget = 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990
Real spending = 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5
Mae Green didn't stay within the allocated budget
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Question 2
Eleanor:
Income = 380.48
Spending = 16.50
Peter:
Income = 120 + 13.65 + 100 = 233.65
Total income = 233.65 + 380.48 - 16.50 = 597.63
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Question 3
Total spent = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55
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Question 4
Marie's new balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50
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Question 5
[235/825] × 100 = 28.48%