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3 years ago

Write each expression with fewer terms. Show or explain your reasoning.

Mathematics

1 answer:

liraira [26]3 years ago

6 0

1. 103-22 = 81
2 10.2-3y+2x is already in simplest form

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A=1/7(b+c-d) solve for b

castortr0y [4]

Step-by-step explanation:

ax7=7 x 1/7(b+c-d)

7a=b+c-d

7a-c+d=b

b=7a-c+d

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3 years ago

Is this sequence arithmetic, geometric, or neither?

Tomtit [17]

It is a geometric sequence

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3 years ago

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Is 843 divisible by 10?<br> yes<br> no<br> Submit

Allushta [10]

Answer:

Step-by-step explanation:

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4 years ago

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.95. Assuming indep

Gre4nikov [31]

Answer:

a) There is a 99.99997% probability that at least one valve opens.

b) There is a 22.62% probability that at least one valve fails to open.

Step-by-step explanation:

For each valve, there are only two possible outcomes. Either it open, or it does not. So 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 combinations 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:

$p = 0.95, n = 5$

(a) What is the probability that at least one valve opens?

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

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

We want $P(X \geq 1)$

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

$P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} = 0.0000003$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000003 = 0.9999997$

There is a 99.99997% probability that at least one valve opens.

(b) What is the probability that at least one valve fails to open?

Either all valves open, or at least one does not open. The sum of the probabilities of these events is decimal 1. So

$P(X = 5) + P(X \leq 4) = 1$

We want $P(X \leq 4)$

$P(X \leq 4) = 1 - P(X = 5)$

$P(X = 5) = C_{5,5}.(0.95)^{5}.(0.05)^{0} = 0.7738$

$P(X \leq 4) = 1 - P(X = 5) = 1 - 0.7738 = 0.2262$

There is a 22.62% probability that at least one valve fails to open.

5 0

3 years ago

A circle has a diameter of 7.2. What is the circumference of the circle rounded to the near tenth of an inch

KATRIN_1 [288]

22.6is the answer check it first .
The formula of cicumfrance is
C= 2 x pi x r

8 0

3 years ago