Answer:
A) f'(t) is negative
B) degc/min
c ) At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
Step-by-step explanation:
A ) f'(t) is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative
B ) The units of f'(20) = degc/min
C) At ║f'(20)║ = 1.5 and f'(20) = 56
║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5
therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125
At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
The expected value for the person buying the insurance is -25.
<h3>How the expected value is calculated?</h3>
The expected value is the average gain or loss of an event if the event is repeated a number of times.
Expected value = ∑xP(x)
<h3>Calculation:</h3>
It is given that,
The probability of a 47-year-old woman passing away during the coming year is 0.179% = 0.00179
The death benefit = $100,000 - $204 = $99,796
The loss from living = -204
Then the expected value = 99796(0.00179) + (-204)(0.99821) = -25
Therefore, the expected value for the person buying the insurance is -25.
Learn more about the expected value here:
brainly.com/question/10675141
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Answer:
11 Pounds
Step-by-step explanation:
Let the total pounds of popcorn made by Movietown Theater=x
On Thursday, they made 
of their popcorn with butter.
The remaining fraction of the butter will be: 
The remaining 35.2 Ounces was made without butter.
Let us convert from ounces to pounds.
- 1 Ounce =0.0625 Pound
- 35.2 Ounce=35.2 X 0.0625 =2.2 Pounds
Therefore:
Therefore, the total pounds of popcorn made by Movietown Theater on Thursday is 11 Pounds.
