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2 years ago

A.35 B.25 C.50 D.The distance cannot be determined

Mathematics

2 answers:

solniwko [45]2 years ago

7 0

Answer:

A. 25

Step-by-step explanation:

1- See the length of XA

2- Divide length by 2

3- 50 divided by 2 equals 25

RoseWind [281]2 years ago

5 0

Answer:

Freind it's answer is B.25

Step-by-step explanation:

First you have to prove that the triangle XYZ and AYZ are congruent.

There we have YZ in common...

Angles XYZ and AYZ are given congruent...

Also angles XZY and AZY are given 90 degrees.....

Hence, Triangle XYZ is congruent to triangle AYZ....

So,XZ=AZ(Congruent Parts of Congruent Triangle)

Now,we have XZ+AZ=XA

So,XZ+AZ=50cm

=2XZ=50 or 2AZ=50

Hence,AZ=25cm

Here's your answer friend ...

Don't forget to follow....

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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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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.

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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:

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

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

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

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