A population of adult males had their heights measured. The heights were normally distributed. Approximately
what percentage of the heights, rounded to the nearest whole number, are within one standard deviation of the
mean?

Answers

Answer 1

Answer:

The percentage of the heights that lie within one standard deviation of the mean height is 68%.

Step-by-step explanation:

Here it is given that the heights of adult males of a population are distributed normally.

The Empirical Rule states that in a normal distribution with mean µ and standard deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be divided into three parts:

68% data falls within 1 standard deviation of the mean.

        That is P (µ - σ ≤ X ≤ µ + σ) = 0.68.

95% data falls within 2 standard deviations of the mean.

        That is P (µ - 2σ ≤ X ≤ µ + 2σ) = 0.95.

99.7% data falls within 3 standard deviations of the mean.

        That is P (µ - 3σ ≤ X ≤ µ + 3σ) = 0.997.

So, the percentage of the heights that lie within one standard deviation of the mean height is 68%.


Related Questions

The surface area of which composite figure is the sum of the areas of eight triangular faces?
VX
O two rectangular pyramids joined at their congruent bases
two rectangular pyramids joined at two congruent lateral faces
O two triangular prisms joined at their congruent bases
two triangular prisms joined at two congruent lateral faces

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line. Which line segment in the image corresponds to NO in the pre-image? I want to say CD but not 100% sure. Only correct answers please. Very important. Working on it now​

Answers

Answer:

CD

Step-by-step explanation:

Reflection is a rigid transformation which always create a congruent image of the original image or pre-image.

If quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line.

Then both the quadrilaterals are congruent.

To find the line segment in the image corresponds to NO in the pre-image, just check the order of the letters in the name of quadrilaterals.

Also, In reflection image and its pre-image are equidistant from the line of reflection

hence, CD is the line segment in the image corresponds to NO in the pre-image.

BRAINLIST THIS ANSWER

Solve the following proportion 9/x = 3/12

A. 36
B. 6
C. 24

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{9}{x}=\frac{3}{12}\\\\[/tex]

Cross multiply,

9*12 = x*3

[tex]\frac{9*12}{3}=x[/tex]

x = 3*12

x = 36

Answer:

36

Step-by-step explanation: Hope this helps! :)

Heeelp please will give brainliest if correct!

Answers

Answer:

y= 200/6x + 100

Step-by-step explanation:

Process of elimination it can't be y= 2/3x + 100 or y = 2/3x because then for x = 12 y would equal 108, but it was closer to 200. That means it had to be one of the other two, the one without the +100 would also end up being too little.

In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%

Answers

Answer:

50%

Step-by-step explanation:

The mean ideally should be in the exact middle

Find S(13) when S(n) = n ^ 2

Answers

Answer:

169

Step-by-step explanation:

We plug in 13 for n, and when we do so we get S(13) = 13² = 169. Hope this helps!

Answer:

169

Step-by-step explanation:

N=13 therefore you have to do 13 to the second power 13•13=169

What is the area of the triangle?

A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches

Answers

The answer is D = 12 square inches

Answer:

The answer is A. 6 square inches

Step-by-step explanation:

The area of a triangle is half the product of the height and base

Please help! I will give you brainliest !

Answers

Answer:

70 and 21

Step-by-step explanation:

6parts of the ratio represents 84 students

Divide 84 by 6 to find the value of one part of the ratio

84 ÷ 6 = 14 ← value of 1 part of the ratio, thus

5 parts = 5 × 14 = 70 ← number of Michigan students

Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21

three-fourths the square of a number

Answers

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

Find the 12th term of the geometric sequence 2, -4, 8,

Answers

Answer:

-4096

Step-by-step explanation:

Pattern: *-2

2, -4, 8, -16, 32, -64, 128, -256, 512, -1024, 2048, -4096

Answer:

-4096

Step-by-step explanation:

without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct​

Answers

Answer:

The shapes are the same, just one is sideways. They also have very similar measurements.

Step-by-step explanation:

Even so, when we check this we get:

(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2

when simplified (solved) this is: 18 3/8 = 18 3/8

what is the area of the parallelogram

A. 11in2

B. 22in2

C. 45in2

D. 60in2

Answers

Answer:

Step-by-step explanation:

Area of a parallelogram is base times height. So 15x4

It’s 60in^2

So D

Answer:

D. 60 inches^2

Step-by-step explanation:

The area of a parallelogram can be found using:

a=bh

We know that the height is 4 inches, and the base is 15 inches. Therefore, we can substitute 4 in for h and 15 in for b.

a=4*15

Multiply 4 and 15

a=60

Area is always units^2. We know the units are inches, therefore the area is:

60 inches^2, or choice D

Picture attached PLEASE HELP

Answers

Answer:

3

Step-by-step explanation:

The x value is half of the y value on this chart.

Jocelyn has 6 birds. Their mean age is 10. The mode of their age is 8 . What might there ages be ??.

Subject - Math ( Mean, Median, and Mode ) PLZ write the answer correctly !! The best answer will be marked as Braintlies !!

Answers

Answer:

total ages = 60

Generally, if the mode is 8 would mean there are more than one age of 8

suppose there are two with age 8,

leaving 44 for the other 4

(11 for the average of the remaining 4)

could have 9 and 13, and 8 and 14

so we could have:

8,8,8,9,13,14

or we could have:

8,8,9,10,12,13

check:of the 1st answer

mean = (8+8+8+9+13+14)/6 = 10

the mode is 8

Step-by-step explanation:

The mean is all the 6 birds ages added together then divided by how many of the birds there is. The mode is the most occurring number.
Because there is 6 birds having all the ages add up to 60 then dividing it by the 6 will give you the mean 10.
When making those numbers you need to make sure that you have multiple 8’s because that is the mode which means the most occurring number.
The answer could be :
8+8+8+13+12+11
8+8+8+8+18+10
And many more

AB
Round your answer to the nearest hundredth.
С
50°

6
?
B​

Answers

Answer:

AB ≈ 7.83

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB }[/tex] = [tex]\frac{6}{AB}[/tex]

Multiply both sides by AB

AB × sin50° = 6 ( divide both sides by sin50° )

AB = [tex]\frac{6}{sin50}[/tex] ≈ 7.83 ( to the nearest hundredth )

What is the value of n?
In
= 5
5 only
O and 5
-5 or 5
-5 only
Helpppp ASAP

Answers

Answer: is there a gra or something to show

Step-by-step explanation:

The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member and y = y equals StartFraction 1 Over 5 EndFraction x. x for a nonmember. Explain how the graph of a nonmember’s yearly cost will differ from the graph of a member’s yearly cost.

Answers

Answer:

The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.

Step-by-step explanation:

I hope I have your equations correct:

Member:

y = 1/10x + 60

Non-Member:

y = 1/5x

The graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

How to solve graphs of straight line

According to the question;

For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a non-member; y equals StartFraction 1 Over 5 EndFraction x.

In essence; the mathematical equation for a member is;

y = (1/10)x + 60.

For a non-member;

y = (1/5)x.

Ultimately, the graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

Read more on graphs of straight line;

https://brainly.com/question/14808962

The volume of this cone is 376.8 cubic feet. What is the radius of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Height is 10ft

Answers

Answer:

The radius of the cone is 6 feets.

Step-by-step explanation:

We have,

Volume of the cone is 376.8 cubic feet

Height of the cone is 10 ft

It is required to find the radius of this cone. The formula of the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

r is radius of cone

[tex]r=\sqrt{\dfrac{3V}{\pi h}} \\\\r=\sqrt{\dfrac{3\times 376.8}{3.14\times 10}} \\\\r=6\ ft[/tex]

So, the radius of the cone is 6 feets.

A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate and the area of the circular flower bed

Answers

Answer:

31.4

Step-by-step explanation:

im not good at math idk if i would trust my answer

but what i did was multiply 10 by pi

area of circle is =pie r^2 so you calculate A= pie 5^2 Area is 78.54

Please help me with this.

Answers

Answer:

the ancer is 1

Step-by-step explanation:

Please help WILL GIVE BRAINLIEST‼️

Answers

Answer:

384 cubic meters

Step-by-step explanation:

Think of it as two rectangles on top of each other and then add the two volumes.

Volume is l*w*h

So for the bottom rectangle: (8) (12) (2) = 192 cubic meters

And for the top rectangle: (4)(6)(8) = 192 cubic meters

It is important to remember that for the top box you have to subtract the height of the bottom box which is why I used 4 for the height instead of 6.

Then you add them together.

192+192 = 384 cubic meters

a real number line can represent both real and imaginary numbers

True or false ?

Answers

Answer:

True

Step-by-step explanation:

True is the answer to this question

*place holder since picture has the work*

Answers

Answer:

rhombus

Step-by-step explanation:

The correct answer would be a rhombus.
a rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

Help me I will give you brainliest!!!!

Answers

Answer:

2/36

Step-by-step explanation:

There are 36 possibilities when rolling a die

There are 2 that sum to 11

P (sum of 11) =  sum of 11/ total

                      =2/36

                        1/18

what is the surface of the square pyramid ?

A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)

Answers

Answer:

D. 20,250 square yards

Step-by-step explanation:

Base + 4 triangles

(75×75) + 4(½×75×97.5)

5626 + 14625

20250 yd²

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.

Answers

Answer:

[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

[tex]X \sim Binom(n=2, p=0.01)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

And we can find the probability:

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]



E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.

Answers

Answer:

A

Step-by-step explanation:

Divide both sides of the equation by c²

The picture is up there thank you!

Answers

Answer:

4

Step-by-step explanation:

because it is the most # of pictures

NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?

Answers

Answer:

16.0%

Step-by-step explanation:

Zia is building a plastic model rocket that has the combined shape of a cone and a cylinder as shown. Additionally, the cylinder has a hemisphere hollowed out of its bottom. the plastic for the cone weights 1.4 grams per cubic centimeter and the plastic of the cylinder weighs only 0.8 grams per cubic centimeter. What is the volume of the plastic that remains?

Answers

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

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