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Simora [160]
3 years ago
15

Select the answer that contains one countable noun and one uncountable noun

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0
Mamdiiajfhxtxusisudjdsusi
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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
(219,379.01 - x) / x = .3321
Ivahew [28]

Answer:x = 164686.592598

Step-by-step explanation:

219379.01−x/x = 0.3321

−x+219379.01/x = 0.3321

Step 1: Multiply both sides by x.

−x+219379.01≈0.3321x

−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)

−1.3321x + 219379.01 = 0

−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)

−1.3321x = −219379.01

−1.3321x/−1.3321 = −219379.01/−1.3321

(Divide both sides by -1.3321)

x = 164686.592598

6 0
3 years ago
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Find a coterminal angle to -180 degrees.
maw [93]

Answer:

540 degrees

Step-by-step explanation:

4 0
3 years ago
Find -x + 10 subtracted from 0.
sergeinik [125]

-x + 10 = x - 10

(x - 10) - 0 = x - 10

4 0
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An ant crawled 12 inches in 10 seconds. A second ant crawled 24 inches in 10 seconds. Calculate the speed of each ant, then comp
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Answer:

Step-by-step explanation:divide 12/10 and 24/10. The larger answer will tell you the slower ant... I’m pretty sure

6 0
3 years ago
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