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3 years ago

Classify the triangle based on the side lengths 7. 15 and 21

Mathematics

1 answer:

densk [106]3 years ago

7 0

Answer:

acute

Step-by-step explanation:

acute is less then 90

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3 years ago

Mears Taxi charges a $ 3.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.75 per mile. Katie has no more

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About 16 miles

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3 years ago

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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

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

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

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

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

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

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

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3 years ago

The probability density of a random variable X is given in the figure below.

Fiesta28 [93]

Answer:

0.47

Step-by-step explanation:

First, find P(X > 1.18).

(2 − 0) / 1 = (2 − 1.18) / x

2x = 0.82

x = 0.41

Next, find P(X < 0.12).

(2 − 0) / 1 = (0.12 − 0) / x

2x = 0.12

x = 0.06

So the total probability is 0.41 + 0.06 = 0.47.

6 0

3 years ago

Classify the triangle based on the side lengths 7. 15 and 21​

Classify the triangle based on the side lengths 7. 15 and 21