Question 8 of 10
In a normal distribution, what percentage of the data falls within 3 standard
deviations of the mean?
O A. 34%
O B. 68%
O c. 99.7%
O D. 95%

Answers

Answer 1

Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:

c. 99.7%.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence, option C is correct.

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Related Questions

PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.

Answers

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

can you help me with this please

Answers

first one is hypotenuse and second one i think it's cousin

Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C

Answers

Answer:

A - B - C

Step-by-step explanation:

Find the surface area of the prism 12in 7in 5in

Answers

Answer:

Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula

Step-by-step explanation:

What percent of data is less than 20?

Answers

Answer:

100%

Step-by-step explanation:

The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.

PLZ HELP IM ON A TIMER ALL THE ANSWERS IS ON THE SCREEN SHOT :{{{ plz hurry

Answers

Answer:

A) -10 + (-10)

Step-by-step explanation:

I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Answer:

BD is a diameter

Step-by-step explanation:

What is the product of -3 and 5? A. -15 B. -8 C. 8 D. 15​

Answers

Answer:

A) -15

Step-by-step explanation:

Answer:

A. - 15

Step-by-step explanation:

Got it right

Pleaseee help easy math! no links. full explanation needed. (will give brainlyist) :))

Answers

Answer:

B is right becuase out of all of the answers this one is the least value with 26

Step-by-step explanation:

2x3x4+5 is false becuase the answer 29 which is the 2nd most value(2X3) + (4x5) is true because the answer 25 which is the least

(2+3+4)x5 is false because the answer 45 which is the 3rd most   value 2X(3+4)% is false because the answer 79 which is the 4th most value Hence B is rightBrainliist pls

Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shown
below).
(khan academy)

Answers

Answer:

The area of the factory is about 3000 m more than the area of the stadium

Step-by-step explanation:

The area of the factory can be said to be 3000m² more than the area of the stadium.

How to solve for the area of the factory

The area of the factory is given as S1

S1 = √80² + 200² * √40² + 100²

= √6400+40000 * √1600 * 10000

=√46400 * √11600

= 23200m²

How to solve for the area of the stadium

S2 = 80² * 3.14

= 20096

The difference in areas = S1 - S2

= 3000m²

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Please answer, no links please.

Answers

Answer:

what you need help with? there is no picture or question

Step-by-step explanation:

Answer:

Solution given:

area of semi circle h=½πr²=½×π×5²=39.27in²

area of rectangle EFHI=l×b=6×3=18in²

area of rectangle CDFG=l×b=17×2=34in²

Total area: 39.27+18+34=91.27 square inches

Tuan is an artist. He is painting on a large canvas which is 49 inches wide. The height of the canvas is 3 inches less than the width. What is the area of Tuan's canvas? The area of the canvas is square inches

Answers

Given:

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width.

To find:

The area of the canvas.

Solution:

It is given that,

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width

So, the height of the canvas is:

[tex]h=49-3[/tex]

[tex]h=46[/tex]

We know that the shape of the canvas is a rectangle and the area of the rectangle is:

[tex]A=length\times width[/tex]

The two dimensions of the canvas are  46 inches and 49 inches. So, the area of the canvas is:

[tex]A=46\times 49[/tex]

[tex]A=2254[/tex]

Therefore, the area of the canvas is 2254 square inches.

30.16 = 17.56 + 5x what is x

Answers

Answer:

x = 2.52

feel free to hit the crown

Answer:

2.52

Step-by-step explanation:

30.16 - 17.56 = 12.6

12.6 / 5 = 2.52

To verify if you plug it in, 30.16 = 17.56 + 5(2.52)

I hope it helped :)

DOES ANYONE KNOW WHAT THUS WOULD BE !!!?

Answers

Answer:

120cm^3

Step-by-step explanation:

With the radius of 6, multiply 6 by itself to square it.

36

Then multiply that by the height of 10

360

Lastly divide by 3

120cm

Answer:

120

Step-by-step explanation:

Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?

Answers

Answer:

1. 37.5 (70*0.50)

2. 12 (60*0.20)

3. 45 (60*0.75)

Step-by-step explanation:

m * p

(percentage in decimal form)

given sec0=29/21 and sin0>0 find csc0

Answers

csc theta = 29/30

Step-by-step explanation:

sec theta = hypotenuse/adjacent = 29/21

where hypotenuse = 29 and adjacent = 21

We can use these values and Pythagorean theorem to find the value of the opposite side:

(opposite)^2 = (hypotenuse)^2 - (adjacent)^2

= (29)^2 - (21)^2

= 400

or

opposite = 20

Therefore,

csc theta = hypotenuse/opposite = 29/20

A farmer grows a new variety of pumpkin, hoping to have
larger pumpkins to sell. To see how large the new variety
grows, she collects some statistical data.
1. The farmer plants the seeds in late May.
2. In October, she harvests the pumpkins.
3. After harvesting, she weighs each pumpkin on a scale
and records its weight
4. The farmer places the pumpkins on tables based on
their size.
Which step describes how the data were measured?

Answers

Answer:

C

Step-by-step explanation:

Answer:

is C

Step-by-step explanation:

A pex i took the test

give brainlist if feeling nice

What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)

Answers

Answer:

The answer is "36".

Step-by-step explanation:

Please find the complete question in the attached file.

What's the gradient of y=3x+1

Answers

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

least to greatest -2/5, -2/3, -0.8, -3/4

Answers

Answer:

-0.8    -3/4    -2/3     -2/5

Step-by-step explanation:

Answer:

-3/4, -0.8, -2/3, -2/5

Step-by-step explanation:

Please solve these, I thank you my friends
Write and solve an equation to find the value of x

Answers

Answer:

180 - (52 + 28) = x and then x = 100.

Step-by-step explanation:

A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.

The equation we used to find that is: 180 - (52 + 28) = x.

52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.

Select all expressions that are equivalent to −4(+2)−2+4

A) −6−4

B) −4+2−2+4

C) −10

D) −4−2−8+4

Answers

Not A = -10
Not B= -8
Not C= -10
I think D

I am not sure

Lorenzo has a package that weighs 2 pounds. He wants to check The weight of the package on a scale, but he only has weights that are measured in ounces. Drag the weight into the box that will balance the scale. Each weight can be used once or not at all.

Answers

Answer:

32 ounces

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 16 x 2 = 32 ounces

help me plsssss i rlly need helppppp i'll give brainliestttt

Answers

First picture is $5(17) + $3(11) = 85+33=$118
So the answer is $118

) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank

Answers

Answer:

big spoon

Step-by-step explanation:

The Big spoon liquid volume is best measured in milliliters.

Given that;

The objects are,

''Bathtub, Milk carton, big spoon or small fish tank''.

We have to find the best objects liquid volume to measured in milliliters.

How to find the appropriate unit for measurement?

Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.

The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.

And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.

Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.

Hence, We use milliliters for measuring liquid in big spoon.

Learn more about the volume visit:

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Rewrite the function by completing the square.


g(x)=4x^2-16x+7


g(x)=___(x+___)^2+__

Answers

Answer:

[tex]g(x) = 4(x - 2)^2 -9[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 4x^2 - 16x + 7[/tex]

Required

Complete the square

Rewrite so that [tex]x^2[/tex] has 1 coefficient

[tex]g(x) = 4(x^2 - 4x) + 7[/tex]

Take half of the coefficient of x

[tex]\frac{4}{2} = 2[/tex]

Square the result

[tex](\frac{4}{2})^2 = 2^2[/tex]

[tex](\frac{4}{2})^2 = 4[/tex]

Add and subtract the result in the bracket

[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]

Expand the bracket to remove -4

[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]

[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]

Expand the bracket

[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]

Factorize

[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]

Factor out x - 2

[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]

Express as square

[tex]g(x) = 4(x - 2)^2 -9[/tex]

please help. Will give BRAINLIEST!!!!!

Answers

Answer:

√13

Step-by-step explanation:

if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.

Answer:

13

Step-by-step explanation:

Can someone help me

Answers

Answer:

Step-by-step explanation:

use the slope formula

Answer:

1) 3/2  2) 1  3)-5/3  4) 5/4  5) -5/9  6) 4/5  7) 8/5  8) 1/4  9) 1/2  10) 2/3  11) 0  12) -1/3  13) 1  14) -1

Step-by-step explanation:

HELPPPOOPOPPPP!!!! PLEASE

Answers

The answer is....................................................

Which equation matches the graph shown ?
A. Y=8x^2 +2x -5

B. Y= 8x^2 +2x +5

C. Y=2x^2 + 8x +5

D. Y=2x^2 + 8x -5

Answers

Answer:

D

Step-by-step explanation:

Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.

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