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Ber [7]
3 years ago
14

The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable

. In fact, the times are exponentially distributed with a mean of 7 minutes. What is the probability that a car can complete the transaction in less than 4 minutes?
Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer:

0.4353 = 43.53%

Step-by-step explanation:

The times are exponentially distributed, so let's call n the mean, and x the time of transaction. The times of the transaction occurs in a certain time is:

e^{-x/n}

So, the probability that a car complete the transaction in less than 4 minutes, is 1 less the times it does it at 4 minutes:

P = 1 - e^{-4/7}

P = 0.4353

P = 43.53%

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the like terms here are the x and the + symbol.

Step-by-step explanation:

If a part of the equation appears more than once that is a like term.

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Find an equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4
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equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)

Perpendicular bisector lies at the midpoint of a line

Lets find mid point of  (-9,-8) and (7,-4)

midpoint formula is

\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}

\frac{-9+7}{2} ,\frac{-8+-4}{2}

midpoint is (-1, -6)

Now find the slope of the given line

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slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}

Slope of perpendicular line is negative reciprocal of slope of given line

So slope of perpendicular line is -4

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y - y1 = m(x-x1)

y - (-6) = -4(x-(-1))

y + 6 = -4(x+1)

y + 6 = -4x -4

Subtract 6 on both sides

y = -4x -4-6

y= -4x -10

equation for the perpendicular Bisector y = -4x - 10


3 0
2 years ago
Please help!!! ASAP!
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Answer:

so what we have to do first is multiply 9*10

which is 90 now we divide by two to get 45

now we multiply 45 by 20 to get

900

Hope This Helps!!!

6 0
3 years ago
What is the explicit equation for this series 25,21,17,13
Neko [114]

Answer:

The explicit rule is:

Step-by-step explanation:

The explicit rule is given by:

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We plug in the values into the formula to get;

a_n=25+-4(n-1)

a_n=25-4n+4

a_n=29-4n

6 0
2 years ago
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