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alexdok [17]
3 years ago
6

A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% wi

th a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).
Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

z=\frac{x-\mu}{\sigma}

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4

For x = 78, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

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6 0
2 years ago
After allowing 20% discount on the marked price with 13%
saveliy_v [14]

<u>Answer:</u>

The marked price of the article is 22,600

<u>Explanation: </u>

Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is  

\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)

Discount D = 20%

Substituting the given values

SP = \mathrm{MP}\left(1-\frac{20}{100}\right)

18080 = \mathrm{MP}\left(1-\frac{1}{5}\right)

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6 0
3 years ago
What’s the answer....
ICE Princess25 [194]

Answer:

<h2>x = 10</h2>

Step-by-step explanation:

If the triangles are similar, then the corresponding sides are in proportion:

\dfrac{20}{20+8}=\dfrac{3x}{4x+2}

\dfrac{20}{28}=\dfrac{3x}{4x+2}

\dfrac{20:4}{28:4}=\dfrac{3x}{4x+2}

\dfrac{5}{7}=\dfrac{3x}{4x+2}                 <em>cross multiply</em>

5(4x+2)=(7)(3x)        <em>use distributive property </em><em>a(b + c) = ab + ac</em>

(5)(4x)+(5)(2)=21x

20x+10=21x             <em>subtract 20x from both sides</em>

10=1x\to x=10

3 0
3 years ago
Simplify the expression: 2/3 divided by -4 minus (1/6 - 8/6)​
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Answer:

1

Step-by-step explanation:

\frac{2}{3}  \div  - 4 - ( \frac{1}{6}  -  \frac{8}{6} )

-  \frac{2}{3}  \times  \frac{1}{4}  - ( -  \frac{7}{6} )

-  \frac{1}{3}  \times  \frac{1}{2}  +  \frac{7}{6}

-  \frac{1}{6}  +  \frac{7}{6}

\boxed{\green{= 1}}

5 0
2 years ago
hen comparing more than two treatment means, why should you use an analysis of variance instead of using several t tests
Bumek [7]
Yea I agree but i don’t know maybe things will work out in the end for you
6 0
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