Answer:
Project A: $55,000 Project B: $50,800 Contractor should choose project A
Step-by-step explanation:
The expected value of the project is the sum of products of profit and its probability:
In thousands, ...
A: (50×0.6) +(80×0.3) +(10×0.1) = 30 +24 +1 = 55 . . . thousand
B: (100×0.1) +(64×0.7) +(-20×0.2) = 10 +44.8 -4 = 50.8 . . . thousand
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The contractor should choose Project A based on the expected value of profit.
Answer: 20 lawns could be mowed in 35 hours.
Step-by-step explanation: Lets write a ratio to represent this problem. The ratio 7:4 states that for every 7 hours you will mow 4 lawns.
Now we have to figure out how many lawns we will mow in 35 hours. Simply keep adding 7 to the left side of the ratio and 4 to the right side.
7:4
14:8
21:12
28:16
35:20
So in 35 hours, 20 lawns will be mowed.
Answer:
9
Step-by-step explanation:
6n = n² - 27
n² - 6n - 27 = 0
n² - 9n + 3n - 27 = 0
n(n - 9) + 3(n - 9) = 0
(n - 9)(n + 3) = 0
n = -3, 9
