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Rainbow [258]
3 years ago
8

Lcm of 15 , 5 , and 9 ?

Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0
The answer is 45
Because 15x3=45,5x9 and 9x5=45 and 45 is the LCM
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Decompose the mixed number 1 3/5
Alex787 [66]

Answer: 8/5

Step-by-step explanation:  1x5+3=8/5

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7 0
2 years ago
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

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
3 years ago
Read 2 more answers
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PSYCHO15rus [73]
Non proportional because 2×$2.40= $4.80 which is not equal to $3.50
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3 years ago
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julsineya [31]
Find the Distance Between Two Points
Use the distance formula to determine the distance between two points.
Exact Form:
√85

Decimal Form:
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…
7 0
2 years ago
PLEASE HELP<br><br> Need this ASAP
rosijanka [135]
I'm not sure but I think it is
4.48×10 10 <---this to is an exponent
4 0
3 years ago
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