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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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Answer:

The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: y = x+1

Step-by-step explanation:

The slope-intercept form of line is given by the formula:

y = mx+b

Here m is the slope and b is the y intercept

Given

(x_1,y_1) = (1,2)\\(x_2,y_2) = (8,9)

First of all, the slope has to be found

m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{9-2}{8-1}\\m = 1

Putting m=1 in the equation

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Putting the point (1,2) in the equation to find the value of b

2 = 1+b\\b = 2-1\\b = 1

The equation is:

y = x+1

Hence,

The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: y = x+1

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3 years ago
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erastova [34]

Answer:

Therefore length of QS and TV is 8 units.

Step-by-step explanation:

Δ Q R S ≅ Δ T U V ,

Q S = 3 v + 2 and

T V = 7 v − 6

To Find:

QS = ?

TV = ?

Solution:

Δ Q R S ≅ Δ T U V .........Given

If two triangles are congruent  then the Corresponding Parts of Congruent Triangles are Congruent.

QS ≅ TV   ..........................CPCTC

Substituting the values we get

3v+2=7v-6\\\\7v-3v=2+6\\\\4v=8\\\\\therefore v=\dfrac{8}{4}\\\\v=2

Substituting ' v ' in QS and TV we get

QS=3\times 2 +2=8\\and\\TV=7\times 2-6=8

Therefore length of QS and TV is 8 units.

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M < 2 and m < 3 are supplementary angles which add up to 180 degrees.

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