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vichka [17]
3 years ago
12

Suppose that the scores, X, on a college entrance examination are normally distributed with a mean score of 560 and a standard d

eviation of 40. A certain university will consider for admission only those applicants whose scores fall among the top 67% of the distribution of scores. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university.

Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

  543

Step-by-step explanation:

The 33rd percentile corresponds to a score of 542.4. In order for a score to be within the top 67%, it must be above that value. The least integer above that value is 543.

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Answer:

The third (C) option is the answer.

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3 years ago
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erica [24]
2 solutions.
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4 0
2 years ago
Read 2 more answers
The average speed of a car driving down freeway is 70mph with a standard deviation of 5mph. Thid speed is normally distributed.
ikadub [295]

Answer:

0.081,0.2621,0.645,0.919

Step-by-step explanation:

Let X be the average speed of a car driving down freeway

Given that X is normal with mean as 70mph with a standard deviation of 5mph.

To convert to Z score we do

Z =\frac{x-70}{5}

a)  the probability that a randomly selected car is driving more than 77mph

=P(X>77)\\=P(Z>1.4)\\=0.081

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= P(-1

c) the probability that a randonly selected car is driving between 67 and 77mph

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5 0
3 years ago
Find the value of X. Round to the<br> nearest tenth. <br> 7.4in <br> 2.4in<br> x
Darya [45]

Answer:

4.4 inches

Step-by-step explanation:

Here, we are interested in calculating the value of x.

Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.

This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.

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Thus;

using Pythagoras’ theorem

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Thus;

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x = √(19.45)

x = 4.41 inches which is 4.4 inches to the nearest tenth

6 0
2 years ago
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Mary has 2 more video games than John. Together, they have 30 video games.
k0ka [10]

Answer: Mary has  16 video games.

Step-by-step explanation:

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5 0
3 years ago
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