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zepelin [54]
3 years ago
6

In an accounting class of 200 students, the mean and standard deviation of scores was 70 and 5, respectively. Use the empirical

rule to determine the number of students who scored less than 65 or more than 75?
a. About 64
b. About 136
c. About 32
d. About 68
Mathematics
1 answer:
lina2011 [118]3 years ago
5 0

Answer:

a. About 64

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 70

Standard deviation = 5

Use the empirical rule to determine the number of students who scored less than 65 or more than 75?

65 = 70 - 5

So 65 is one standard deviation below the mean

75 = 70 + 5

So 75 is one standard deviation above the mean.

By the Empirical Rule, 68% of the students scored between 65 and 75. The other 100-68 = 32% scored less than 65 or more than 75.

Out of 200, that is

0.32*200 = 64

So the correct answer is:

a. About 64

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3 years ago
A city has designed a survey to collect information about residents’ opinions about city services. Which of the following descri
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Bias refers to scenarios which might affect the ability of a statistical experiment to generalize, hence affecting the validity of research. Non-response bias occurs when majority of subjects <em>fail to respond during a survey</em>. Hence, a likely scenario is ; <em>surveys were mailed to 500 people, and 200 of the surveys were completed and </em><em>returned</em><em>.</em><em> </em>

  • Non - response bias has to do with a situation whereby a large percentage of the selected samples from a population do not respond or fail to participate in the experiment or survey.

  • If 200 surveys were returned, then 300 of the sample participants did not respond. Which means <em>60% of the sample are non-responsive</em>.

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6 0
2 years ago
What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

(x-h)^2 + (y-k)^2 = r^2

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Given

(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)

Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

Putting the values of h,k and r in general form of equation

\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0
3 years ago
Triangle PQR is similar to triangle STU, where P, Q, and R correspond to S, T, and U,
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Answer:

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Step-by-step explanation:

use the side lengths of PQR to determine the proportionality of the two triangles. 9/2=4.5 so, multiply 8 by 4.5 to find TU.

6 0
2 years ago
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