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ICE Princess25 [194]

3 years ago

13

In the quadrilateral below, Angle A is-congruent-to angle C, and Angle B is-congruent-to angle D.

2 answers:

natka813 [3]3 years ago

5 0

Answer:

152

Step-by-step explanation:

Margaret [11]3 years ago

4 0

Answer:

d.152

Step-by-step explanation:

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Y=19x+19b solve for b in the literal equation

Ymorist [56]

Y=19x+19b
To solve for b you first need to subtract 19x from both sides giving you:

y-19x=19b

Then, divide by 19 on both sides to get

(y/19)-x=b

So b=(y/19)-x

Hope this helps!!! Follow me :)

3 0

3 years ago

A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight ident

Fudgin [204]

Answer:

a) 0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they last more than 1,000 hours, or they do not. Components operate independently, which means that the binomial probability distribution is used to solve this question.

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.

One subsystem has eight identical components, each with a probability of 0.1 of failing in less than 1,000 hours.

So 1 - 0.1 = 0.9 probability of working for more, which means that $p = 0.9$

a. exactly two of the four components last longer than 1000 hours.

This is P(X = 2) when $n = 4$ . So

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

$P(X = 2) = C_{4,2}.(0.9)^{2}.(0.1)^{2} = 0.0486$

0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b. the subsystem operates longer than 1000 hours.

The subsystem has 8 components, which means that $n = 8$

It will operate if at least 4 components are working correctly, so we want:

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

So

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

$P(X = 0) = C_{8,0}.(0.9)^{0}.(0.1)^{8} \approx 0$

$P(X = 1) = C_{8,1}.(0.9)^{1}.(0.1)^{7} \approx 0tex][tex]P(X = 2) = C_{8,2}.(0.9)^{2}.(0.1)^{6} \approx 0$

$P(X = 3) = C_{8,3}.(0.9)^{3}.(0.1)^{5} = 0.0004$

Then

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0 + 0 + 0.0004 = 0.0004$

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0004 = 0.9996$

0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.

5 0

3 years ago

Luis knows that he can hike at an average rate of 13 mile in 6 minutes. How many hours will it take Luis to reach Wandering Twin

raketka [301]

Answer:

2 hours

Step-by-step explanation:

7 0

3 years ago

The triangle shown in the diagram is going to be dilated by a scale factor of 1 3 . What is the length of the new side that corr

Rufina [12.5K]

What’s is side AB if I don’t have that I don’t know how to figure out how they correspond

3 0

3 years ago

I need help ASAP!!Please explain how to do the problem

hoa [83]

Answer:

i think its 30

Step-by-step explanation:

perimeter is the sides added together

8 0

3 years ago

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