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:
The cost of one pair of shoes is $8.
The cost of one shirt is $12.
<h3>What are the linear equation that represent the question?</h3>
2a + b = 32 equation 1
2a + 3b = 48 equation 2
Where:
- a = cost of 1 shirt
- b = cost of one pair of shoes
<h3>What is the cost of one pair of shoes?</h3>
Subtract equation 1 from equation 2
2b = 16
b = 16/2
b = $8
<h3>What is the cost of one shirt?</h3>
Substitute for b in equation 1
2a + 8 = 32
2a = 32 - 8
2a = 24
a = 24 / 2
a = $12
To learn more about simultaneous equations, please check: brainly.com/question/25875552
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P = 300 + 60t
540 = 300 + 60t
540-300 = 60t
240 = 60t
240/60 = 4 (4 years after 2010)
So the year should be 2014
4 is 22 , 5 is 50 , 6 is 160 , 7 is 8 , 8 is 3 , 9 is 8 , 10 is 132 , 11 is 10.5 and 12 is 8