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antiseptic1488 [7]
3 years ago
9

A plumber charges $45 plus $39.75 per hour of service, Miguel's bill was $164.25.

Mathematics
1 answer:
SashulF [63]3 years ago
7 0

he work at One thousand five hundred fifty hours

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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

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
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A minor league baseball stadium has 6000 seats on Beach Tower night the stadium sold 5500 off its available seats what fraction
Kipish [7]
The fraction of seat sold is 11/12
Please give me brainiest.
6 0
3 years ago
Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
geniusboy [140]

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

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Which of the following points is in the solution set of y>x2+7x-14​
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Answer:

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 1 : x2 - 7x - 14 = 0. Step 2 : Parabola, Finding the Vertex: 2.1 Find the Vertex of y = x2-7x-14

7 0
3 years ago
How do you explain how to find the volume of a cylinder
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The formula is V=Bh You'd get the base (it's a circle so you'd have to do A=pie*radius square) Once you find the base, you mutliply it by the height
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