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IgorC [24]
3 years ago
8

819 ÷ ________ = 8.19 (3 points)

Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Are those the only options because 819 divided by 100 is 8.19

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Solve the quadratic equation 6x²-5x-21=0
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Using proportional reasoning, about how many of 180 seventh grade students in school would like to snorkel
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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen
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Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.93

Calculate P(at least one valve opens).

This is P(X \geq 1)

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807

Finally

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193

There is a 99.99998% probability that at least one valve opens.

5 0
2 years ago
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Please help me if you can, just click on the photo and you’ll see the question
irinina [24]

Answer:

18.

Step-by-step explanation:

If you divide by something less than 1, it'll wind up being more than what it was before.

7 0
3 years ago
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