well if he answers half a question per minute then it would take 2 minutes to answer a question. Therefore if you flip the numerator and the denominator you can multiply that by how many questions are being asked as shown:
q=6
1/2x2=1
2/1=2xq
2x6=12
?=12 minutes
Answer:
The variance of the data is 49.
The median is 64.
The data point 50 is two standard deviations away for the mean.
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1/8x3.14x14 feet= 5.498 feet.
Answer: 5 feet, 5.97inches.
The revenue is given by the unit price * number of units.
Profit = Revenue - Cost = 200x - 500,000 - 80x - 0.003x^2 = 120x - 500,000 - 0.003x^2
For profit to be maximum dP/dx = 0
120 - 0.006x = 0
x = 120/0.006 = 20,000
Therefore, to maximize profit, the firm should produce 20,000 penicillin.
1 ft = 12 inches
2 ft = 24 inches
24 inches + 3 inches = 27 inches
