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UkoKoshka [18]
3 years ago
7

PLEASE EXPLAIN AND HELP WILL MARK BRAINLIEST

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Answer:

I dunno this one, u should

Step-by-step explanation:

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Simplify 3/5 * 35 - 61
gizmo_the_mogwai [7]

Answer:

-15.6 or -15 3/5

Step-by-step explanation:

8 0
3 years ago
Scores on a final exam taken by 1200 students have a bell shaped distribution with mean=72 and standard deviation=9
SVETLANKA909090 [29]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean $ \pm $ Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 = $ \frac{68}{100} \times 1200 $

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean $ \pm $ 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to $ \frac{95}{2} \% $ of the values.

Therefore, Scores between 72 and 90 = $ \frac{95}{2(100)} \times 1200 = \frac{95}{200} \times 1200  $

$ \implies 95 \times 12 $ = 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 = $ \frac{2.5}{100} \times 1200 $

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

8 0
3 years ago
Quirky Elf has 3.36 kilograms of fudge and 2.28 kilograms of divinity candy. He estimates that he has about 1 more kilogram of f
inysia [295]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
Please solve <br><br> ??+1/16=3/2
Vladimir79 [104]

Answer:

x = 23/16

Step-by-step explanation:

x + 1/16 = 3/2

Get a common denominator

x + 1/16 = 3/2 *8/8

x + 1/16 = 24/16

Subtract 1/16 from each side

x+1/16 -1/16 = 24/16 -1/16

x = 23/16

6 0
2 years ago
Read 2 more answers
Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle? StartFraction pi over 6 E
oksian1 [2.3K]

Answer:

StartFraction pi Over 3 EndFraction

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees or 2π radians

so

by proportion

Find out the central angle for an arc equal to One-sixth of the circumference of a circle

Let

x -----> the measure of the central angle in radians for an arc equal to One-sixth of the circumference

\frac{C}{2\pi}=\frac{(C/6)}{x}\\\\x=2\pi(C/6)/C\\\\x=\frac{2\pi}{6}

Simplify

x=\frac{\pi}{3}

therefore

StartFraction pi Over 3 EndFraction

5 0
3 years ago
Read 2 more answers
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