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Alenkasestr [34]
3 years ago
15

Peter complete 7 miles in 6 min. At what rate must

Mathematics
2 answers:
REY [17]3 years ago
4 0

Answer:

49

Step-by-step explanation:

marta [7]3 years ago
3 0
49 due to divide and multiply steps
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The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

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.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
3 years ago
The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest c
Arlecino [84]

1 lb / 0.45 = 2.22

 so approximately 2.22 kilograms per pound

 divide price per pound by kilometers per pound

1.44 / 2.22 = 0.648

 round to 0.65, so it costs $0.65 per kilogram

3 0
3 years ago
4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.
nignag [31]

Answer:

20 cm

Step-by-step explanation:

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.

7 0
3 years ago
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If you rotate a triangle 180 degrees with points of (1,2), (3,3), (1,4) what would the new points be?
alexgriva [62]

Answer: when you rotate the triangle 180 degrees the new points would be (-1,-2), (-1,-4), and (-3,-3).

Step-by-step explanation:

You simply flip the graph 180 degrees. Not that hard.

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Please this is a quizzzz
eduard

Answer:

QR and ST

Explanation:its right

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3 years ago
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