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quester [9]
3 years ago
8

Assume that each of the n trials is independent and that pis

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0
P(x)=n!/(n-x)!x!= 15!/12!*3!
P(x)=15*14*13*12!/12!*3*2*1=455
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Let F(s) 1.1s + 0.03s2 represent the stopping distance (in feet) of a car travelling at s miles per hour. Calculate F(60) and es
Alinara [238K]

Answer:

F(60) = 3666 feet

Estimated Increase in Stopping Distance: 123.1 feet

Actual Increase in Stopping Distance: 122.1 feet

The cost of producing 3000 bagels is $1036.5

The Estimated cost of the 3001st bagel is $1036.736.

The actual cost of the 3001 st bagel is  $1036.737.

Step-by-step explanation:

F(s) = 1.1s + s²

F(60) = 1.1(60) + (60)²

         = 66 + 3600

F(60) = 3666 feet

To find the estimate increase in stopping distance, differentiate the function  to get F'(s) and then find F'(61)

F'(s) = \frac{dF(s)}{ds} = 1.1 + 2s

F'(61) = 1.1 + 2(61)

F'(61) = 123.1 feet

If speed is increased from 60 to 61, we can find the actual increase by finding F(61) and then subtracting F(60) from it.

F(61) = 1.1(61) + (61)²

F(61) = 3788.1 feet

Increase = 3788.1 - 3666

Increase = 122.1 feet

F(60) = 3666 feet

Estimated Increase in Stopping Distance: 123.1 feet

Actual Increase in Stopping Distance: 122.1 feet

C(x) =  300 + 0.25x - 0.5 (\frac{x}{1000})³

C(3000) = 300 + 0.25(3000) - 0.5 (3000/1000)³

             = 300 + 750 - 13.5

C(3000) = $1036.5

The cost of producing 3000 bagels is $1036.5

To estimate the cost of the 3001st bagel, we need to differentiate the function and then find the increase in price at the 3001st bagel. The answer then needs to be added to C(3000). So,

C'(x) = 0.25 - 0.5*3 (x/1000)²/1000

C'(3001) = 0.25 - 0.5*3 (3001/1000)²/1000

C'(3001) = 0.236

C(3001) = C(3000) + C'(3001)

            = 1036.5 + 0.236

C(3001) = $1036.736

The Estimated cost of the 3001st bagel is $1036.736.

C(3001) = 300 + 0.25(3001) - 0.5(3001/1000)³

             = 300 + 750.25 - 13.5135

C(3001) = $1036.737

The actual cost of the 3001 st bagel is  $1036.737.

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3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
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Answer:

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Y-intercept: 6

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Answer:

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Answer:

Step-by-step explanation:

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