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2 years ago

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Your quiz grades are 98, 82, 89, and 94. What score on the fifth quiz will make your average quiz grade at least 90?

1 answer:

Maurinko [17]2 years ago

6 0

Answer:

You have to find the mean of all of the numbers.

Step-by-step explanation:

You have to add 98, 82, 89, and 94 together and then divide it by 90 to find your answer.

Hope this helped

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If by markup you mean discount then.....
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the arnold family arrived at the beach at 10:30 a.m. they spent 3¾ hours there.what time did they leave the beach?

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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

noname [10]

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

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

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