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3 years ago

A rock climber descended 50 feet to a new elevation of 32 feet. What was her initial elevation, e?

Mathematics

1 answer:

alina1380 [7]3 years ago

6 0

Answer:

82 feet

Step-by-step explanation:

50 feet + 32 feet = 82 feet

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A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

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 time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

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

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

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

3 years ago

Andy’s dog weighs 27 pounds, which is 3/4 the weight of Seher’s dog. How many pounds does Seher’s dog weigh?

spayn [35]

Answer:

20.25 lbs

Step-by-step explanation:

Multiply 27 by 3/4 or .75 to equal 20.25.

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2 years ago

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I hope you all have a great day <3

hoa [83]

Answer:

same to you Hun

Have a good day Ahead

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3 years ago

What is blank divided by 84.8=10.6

il63 [147K]

To find that out, do the reverse of dividing which is multiplying.

10.6 × 84.8 = 898.88

Check your answer by dividing. So 898.88 divided by 84.8 gives 10.6. So it is correct

So your answer is 898.88

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2 years ago

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What is the equation of the graphed line written in

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Answer:

the answer is A

Step-by-step explanation:

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