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zloy xaker [14]
4 years ago
14

Find the remainder when x2 + 3x – 11 is divided by r –

Mathematics
1 answer:
TiliK225 [7]4 years ago
7 0

Answer:

-1

Step-by-step explanation:

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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
What is a simpler form of the expression 8n + 5n
poizon [28]

Answer:

13n

Step-by-step explanation:

Add them together. They are like terms.

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4 years ago
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Two vertices of a right triangle have the coordinates (−2, 5) and (9, 5) .
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Length = √(y2-y1)² + (x2-x1)²
l = √(5 - 5)² + (9 + 2)²
l = √0² + 11²
l = √121
l = 11

In short, Your Answer would be 11 units

Hope this helps!
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4 years ago
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On a map of Illinois, the distance between Chicago and Algonquin is 3.2 centimeters. If 2 centimeters = 40 kilometers, what is t
s2008m [1.1K]
About 60 maybe 64 kilometers
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4 years ago
Find the slope using points: (2,5) and (8,9)
Katena32 [7]

Answer: The slope is 2/3:)

Step-by-step explanation: (2,5) and (8,9)

9-5 =4 /2=2

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