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2 years ago

Are the grades shown in the math class below normally distributed? Explain your answer.

Mathematics

1 answer:

IgorLugansk [536]2 years ago

8 0

Since the histogram is not symmetric, the grades shown in the math class below are not normally distributed.

<h3>When does a histogram represent a normal distribution?</h3>

A histogram represents a normal distribution if it symmetric.

In this problem, we have that:

57% of the grades are on the left tail.

25% of the grades are on the center.

18% are on the right tail.

Since the percentages at the tails are different, the histogram is not symmetric, and the grades shown in the math class below are not normally distributed.

More can be learned about the normal distribution at brainly.com/question/24537145

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The school that Scott goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult ti

harina [27]

Answer:

The price of one adult ticket = $13

The price of one student ticket = $4

Step-by-step explanation:

Let the price of 1 adult ticket = x

Let the price of 1 student ticket = y

On the first day of ticket sales the school sold 12 adult tickets and 10 student tickets for a total of $196.

12 × x + 10 × y = $196

12x + 10y = 196....... Equation 1

The school took in $59 on the second day by selling 3 adult tickets and 5 student tickets

3 × x + 5 × y = $59

3x + 5y = 59.......... Equation 2

Using Elimination method

We eliminate y, by Multiplying equation 1 by 5 and Equation 2 by 10

12x + 10y = 196....... Equation 1 × 5

3x + 5y = 59.......... Equation 2 × 10

60x + 50y = 980....... Equation 3

30x + 50y = 590......... Equation 4

Subtract Equation 4 from Equation 3

30x = 390

x = 390/30

x = $13

Therefore, the price of one adult ticket = $13

Remember: x = $13

3x + 5y = 59.......... Equation 2

Substitute

3(13) + 5y = 59

39 + 5y = 59

5y = 59 - 39

5y = 20

y = 20/5

y = $4

Therefore, the price of one student ticket = $4

8 0

3 years ago

The height of a triangle is 5 m less than its base. The area of the triangle is 42 m².

SCORPION-xisa [38]

A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
A = 42 m^2

4 0

3 years ago

Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square

aniked [119]

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

<h3>What is the volume of a rectangular prism?</h3>

It is given by the multiplication of the base area by the height, that is:

$V = S_bh$