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marusya05 [52]
2 years ago
11

Approximate the probability that X is greater than 70 and less than 90.

SAT
1 answer:
Dima020 [189]2 years ago
4 0

The probability that X is greater than 70 and less than 90 is; 0.85

<h3>How to find the probability?</h3>

Let X be the binomial random variable with the parameters:

n = 200

p = 0.4

Then, the random variable Z defined as:

Z = (X - np)/(√(np(1 - p)

The probability that X is greater than 70 and less than 90 is expressed as; P(70 < X < 90)

At X = 70, we have;

Z = (70 - (200*0.4))/(√(200 * 0.4(1 - 0.4))

Z = -1.44

At X = 90, we have;

Z = (90 - (200*0.4))/(√(200 * 0.4(1 - 0.4))

Z = 1.44

Thus, the probability would be expressed as;

P(-1.44 < Z < 1.44)

From online p-value calculator, we have;

P(-1.44 < Z < 1.44) = 0.85

Complete question is;

Suppose that X is a binomial random variable with n = 200 and p = 0.4 Approximate the probability that X is greater than 70 and less than 90.

Read more about probability at; brainly.com/question/4621112

#SPJ1

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ser-zykov [4K]

Answer:

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  • Teacher's comment: What you've written is true, but it isn't a correct definition. A ray would also fit your defenition

Second definition:

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  • Teacher's comment: Were you thinking of the team collinear?

Third definition:

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  • Teacher's comment: I think you have the right idea, but you need to be more careful with your language.

Explanation:

A line segment is <u>part of a line</u> that connects points. It limited consequently, it has length.

  • Duru's definition: A line segment is a line connecting two endpoints

                                               

It is missing that it is just a part of the line. A ray also connects two points but extends infinetly in one direction. Thus,  Duru's definition is not so specific.

That justifies teacher's comment:

  • Teacher's comment: What you've written is true, but it isn't a correct definition. A ray would also fit your defenition

Second definition:

  • Oliver's definition: A line segment is when three points are all on the same line.

 

The constraint of a line segment to three points all on the same line corresponds to collinear points. Two points always form a line,, but three points lie on a line only in they are collinear.

That justifies, theacher's comment:                          

  • Teacher's comment: Were you thinking of the team collinear?

Third definition:

  • Carlos' definition: A line segment is part of a line, not the whole thing.

Mathematicall language is formal. You must use precise words. An expression as 'whole thing" is not formal.

That justifies teacher's comment:

  • Teacher's comment: I think you have the right idea, but you need to be more careful with your language.

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3 years ago
you are interviewing a spanish-speaking future roommate from colombia. complete each of the following questions with the correct
tino4ka555 [31]

I was able to find the questions to complete with the verbs saber and conocer:

  1. ¿<u>Conoces</u> a muchas personas aquí?
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  3. ¿<u>Sabes</u> cocinar bien?
  4. ¿<u>Conoces</u> a los dueños del apartamento?
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<u>Saber/conocer</u>

Both verbs (saber and conocer) express the idea of ''knowing". The difference is that you use ''saber'' to talk about facts or learned skills, and you use ''conocer'' when you have familiarity with the thing, person or place you are saying you know.

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The amount of the cost will be allocated to department is $6,900

<h3>What are operating costs?</h3>

Operating costs are known to be the current or the present expenses that are often incurred from the daily running of a business. They includes selling, administrative expenses, etc.

Note that in the above, the Total rental cost allocation to department 1 are:

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So you then sum up the both amount together:

= $2,500 + $4,400 = $6,900

Therefore, the cost that needs to be allocated to Department 1 is $6,900

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2 years ago
A local news story claims that 53 of high school males agree with the statement.
horrorfan [7]

Based on the information given regarding the sampling, the correct option is E. No, because p = 0.53 was one of the most common values in the sampling distribution.

<h3>How to solve the sample.</h3>

From the complete information, it can be deduced that on the dotplot, the center of the sampling distribution is around 0.53. This means that if we construct a confidence interval, there is a high probability that it will have a value of 0.53.

Also, for less than 53% to be true, then most of the dots should have been less than 0.53. In this case, it is centered around 0.53 and so this illustrates that a lot of values are equal to and above 0.53.

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