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Anuta_ua [19.1K]

2 years ago

12

For the line perpendicular to y = 12, the slope is undefined because the denominator of the slope is 0. For the line parallel to

y = 12, the slope would be 0 because it is a flat line, no slope.
A. x + 2y - 8 = 0
B. 2x + y - 8 = 0
C. 2x - y + 8 = 0

1 answer:

ASHA 777 [7]2 years ago

7 0

I think the answer is b

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The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution 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.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

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

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

36.58% probability that one of the devices fail

7 0

3 years ago

This season, the probability that the Yankees will win a game is 0.49 and the probability that the Yankees will score 5 or more

yanalaym [24]

Answer:

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

Step-by-step explanation:

Conditional probability:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

If the Yankees score 5 or more runs, either they win, or they lose. The sum of these probabilities is 1.

Probability that the Yankees win:

Event A: Scoring 5 or more runs.

Event B: Winning

The probability that the Yankees will score 5 or more runs in a game is 0.53.

This means that

The probability that the Yankees win and score 5 or more runs is 0.41.

This means that

So

0.774 probability that the Yankees will win when they score 5 or more runs

What is the probability that the Yankees will lose when they score 5 or more runs?

p + 0.774 = 1

p = 1 - 0.774

p = 0.226

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

4 0

3 years ago

What’s the area of the trapezoid?

myrzilka [38]

Answer:

I think its 28 feet

Step-by-step explanation:

2x2=4

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7 0

3 years ago

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One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.

ohaa [14]

Answer:

17% i think

Step-by-step explanation:

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2 years ago

The volume of a right square prism is 588 cubic centimeters and its height is 12 cm. What is the length of each side of the base

Sauron [17]

Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

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6 0

3 years ago