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Anit [1.1K]
3 years ago
10

The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with

a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 400. a. 84% b. 16%
Mathematics
1 answer:
kirza4 [7]3 years ago
6 0

Answer:

b. 16%

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 = 500

Standard deviation = 100

Percentage of students who scored less than 400:

400 = 500 - 1*100

So 400 is one standard deviation below the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Of those who are below, 68% are within 1 standard deviation of the mean, that is, between 400 and 500. So 100-68 = 32% are below 400.

0.5*0.32 = 0.16 = 16%

So the correct answer is:

b. 16%

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Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

Sum the sides and equate to 54, that is

3x + 4x + 5x = 54, that is

12x = 54 ( divide both sides by 12 )

x = 4.5

Thus

AB = 3x = 3 × 4.5 = 13.5 in

BC = 4x = 4 × 4.5 = 18 in

AC = 5x = 5 × 4.5 = 22.5 in

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3 years ago
In a classroom 12 students are wearing glasses, while 6 are not. What percent of the students are wearing glasses? Explainnn
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Answer:

66,666666666666666666666666666666666667% :))

Step-by-step explanation:

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percentage of student wearing glasses are:

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Done :))

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3 years ago
Find the value of x. WILL GIVE BRAINLIEST!!!
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Answer: x = 16

Step-by-step explanation:

24 + 2 + 4x = 90

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x = 16

6 0
3 years ago
What is the best way to Solve: 25 – 5x = 80
Art [367]
25 - 5x = 80
 + 5x         + 5x

25 = 5x + 80
- 80         -80

-55 = 5x

-55/5 = 11

x = 11 


Hope I helped!

Let me know if you need anything else!

~ Zoe          
5 0
3 years ago
Read 2 more answers
Item 16
alexdok [17]

Answer:

Step-by-step explanation:

Given that the dresser is in shape of a rectangular prism

Note that, a rectangular prism has a shape of a cuboid

So, area of the rectangular prism is same as area of a cuboid

A = (2LB + 2LH + 2BH)

Where

L is length

B is breadth

H is height

Then, given the dimension of the rectangular prism to be

2ft by 2ft by 6ft

Then, you can assume that,

Length L = 2ft

Breadth B = 2ft

Height H = 6ft.

NOTE: you can take you assumption anyhow, there is no standard, you will get the same answer.

Then,

A = (2LB + 2LH + 2BH)

A = (2×2×2 + 2×2×6 + 2×2×6)

A = (8 + 24 + 24)

A = 56 ft²

The total surface area of the dresser is 56ft²

8 0
3 years ago
Read 2 more answers
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