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sweet [91]
3 years ago
9

If the velocity of a car on a timed test drive on an airfield is given by the function:

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

The graph of the car's speed is a piece of an inverted parabola,
that cuts the time axis at zero and at 8 sec. 

The distance the car travels during that 8 seconds is the area
between the parabola and the time axis.  If you intend to calculate
it, then I'm afraid you're going to need to integrate the speed function.

           V = 24t - 3t²

Distance = integral of (24t - 3t²), evaluated from zero to 8 seconds.

Integral of (24t - 3t²) =

             t²/2 - 3t³/3  =  <u>12t² - t³</u>

Evaluated between zero and 8 seconds, the integral is

             12(8²) - (8)³ =

               768 - 512  =<em>  256 meters</em> .


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Answer:

<u>The probability that Santa will come to the mall OR your best friend will be there is 47.4%</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that Santa will come to the mall on December 18th = 75%

Probability that your best friend will be at the mall on December 18th = 55%

Probability that Santa will come to the mall on December 18th AND your best friend will be there = 75% * 55% = 41.3% not just 40%

2.  What is the probability that Santa will come to the mall OR your best friend will be there?

For answering this question, we should calculate first the probability that Santa will not come to the mall on December 18th AND your best friend will not be there, this way:

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100% - 41.3% - 11.3% = 100% - 52.6% = 47.4%

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