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9966 [12]
3 years ago
14

A bus traveled on a level road for 44 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The

time spent on the winding road was 55 hours. Find the average speed on the level road if the entire trip was 449 miles

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

ANSWER AT THE BOTTOM BELOW

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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0
3 years ago
Pls help me and thank you if you help me out
Marina CMI [18]

Answer:

I think it would be C.

Step-by-step explanation:

One is positive Four is negative so is 1+(-4)

4 0
3 years ago
Help please give answer please
Vsevolod [243]

The mean is 8 gerbils and the MAD is 4.29.

<h3>What is the mean?</h3>

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(0 + 3 + 6 + 9 + 11 + 13 + 14) / 7 = 8

What is the MAD?

MAD =  ∑ l x - m(x) l

| (0 - 8) + (3 - 8) + (6 - 8) + (9 - 8) + (11 - 8) + (13 - 8) + (14 - 8)| / 7 = 4.29

To learn more about mean, please check: brainly.com/question/25842202

#SPJ1

3 0
2 years ago
Twice a number plus 6 is 20​
grigory [225]

Answer:

7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The perimeter of rectangle is twice the sum of its length and its width.the perimeter is 22 meters and its length is 2 meters mo
romanna [79]
P = 2(L + W)
P = 22
L = 2W + 2

22 = 2(2W + 2 + W)
22 = 2(3W + 2)
22 = 6W + 4
22 - 4 = 6W
18 = 6W
18/6 = W
3 = W.....this is the width

L = 2W + 2
L = 2(3) + 2
L = 6 + 2
L = 8 meters <=== this is the length
6 0
3 years ago
Read 2 more answers
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