The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller

Answers

Answer 1

Answer: 0.16

Step-by-step explanation:

Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.

According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.

About 68% woman have height between ( 66-3) inches and (66+3) inches.

i.e. About 68% woman have height between 63 inches and 69 inches.

The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]

The percentage of woman have height  is 69 inches or taller = 32%÷2

= 16%

Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16


Related Questions

a 175,000 loan compounded monthly at 3.2% for 19 years. how much intrest was earned

Answers

Answer:

Interest earned = $146,196.75

Step-by-step explanation:

A = $175,000

r = 3.2% = 0.032

n = 19

m = 12

FV = A*(1+i/m)^nm

FV = 175,000*(1+0.032/12)^19*12

FV = 175,000*(1+0.002667)^228

FV = 175,000*(1.002667)^228

FV = 175,000*1.83541

FV = $321196.75

Interest earned = $321,196.75 - $175,000

Interest earned = $146,196.75

Answer:

Step-by-step explanation:

I would need to get back to you

I need help on how to do this, I don't need the answer, I just need to know how to do it QUICK.

Answers

Ummmm:

Whats the question???

What is the question?

A goat is tethered to a rope that is 3.65 meters long. What is the maximum area of grass that the goat can graze on?

Answers

Answer:

3.65 meters

Step-by-step explanation:

If the rope is 3.65 meters long, then the goat can only go as far as the rope is long. That's unless the goat eats the rope.

The maximum area that a goat can graze on will be the area of a circle where the center of the circle will be one end of the rope as shown in the attached diagram.

What is the area of a circle?

The area of a circle with radius r is πr².

Radius of the circle= length of the rope = 3.65m

So, area of the circle = [tex]\pi r^{2}[/tex]

Area of the circle = [tex]\pi 3.65^{2}[/tex]

Area of the circle = 41.85m².

Therefore, the maximum area of grass that the goat can graze on is 41.85 m²

To get more about circle visit:

https://brainly.com/question/24375372

plz help tytytt very muchhhh:)))​

Answers

Step-by-step explanation:

I believe it's 4 have a great day!

Answer:

The answer is 2.

Step-by-step explanation:

If you subtract 1 from both sides you get 14, and that leaves you with 2x>14, which if u divide 14/2x you get x=7.

According to data obtained from the National Weather Service 187 of the 368 people killed by lightning were men. Assume that this trend holds for the future. What is the probability that a person killed by lightning is a woman

Answers

Answer:

0.4919

Step-by-step explanation:

From the given data:

187 of the 368 people killed by lightning were men.

i.e

Number of men = 187

Total number of people killed = 368

The objective is to determine the probability that the person killed by lightning is a woman.

The number of women = 368 - 187

The number of women  = 181

The probability that the person killed by lightning is a woman = 181/368

= 0.4919

How many terms are in the algebraic expression 3x? + 4y - 12
O
A. 4.
B. 2
D
C. 5
D. 3

Answers

there are 2 terms in the algebraic expression

HELP WILL GIVE BRANLIEST! Please give an explanation

Answers

It’s the fourth one all the fractions on 4 are equal to -2/3

Kim packed 6 boxes with school supplies. Each box contained an equivalent number of pencils, pens, and rulers. Which list of school supplies could be the greatest number of pencils, pens, and rulers that Kim packed into boxes?

Answers

Answer: she isnt even correct lnnao

what are the property for each equation​

Answers

Answer:

associative, distributive, commutative

Step-by-step explanation:

Commutative is something just flipped around so the 3rd equation would be commutative. Associative is something with the same numbers but asked in a different way so 1st would be associative. Distributive is breaking the equation down and apart to make it easier to complete so the 2nd would be distributive.

hope this helped :)

- may i get brainliest

1. Associative property
2. Distributive property
3. Commutative property

WHEN A MAN LOVES A WOMAN...........​

Answers

Answer:

When a man loves a woman he becomes a SIMP

Step-by-step explanation:

Answer:

they get real deep in there

Step-by-step explanation:

I had the talk when I was 7

The cost of a monthly cell phone plan, in dollars, is modeled by the function C(x)= 0.6x + 30, where x is the number of text messages. What does the slope of this line represent?

this has been confusing me for a bit and the assignment is due tonight

Answers

The slope of this line is 0.6, and this represents the cost per text message sent. For example, if you send 1 text message, you’ll pay a total of $30.60.

Hope this helps!!

Jonny is buying a new pair of shoes. If the shoes are normally $25.00 and are on sale for 20% off, how much will he pay for the shoes before tax?

Answers

Answer:

$20

Step-by-step explanation:

First, we need to find 20% of $25. You can do this by multiplying $25 by 0.2

After multiplying , you get $5. So 20% of 25 is 5.

Now, we subtract because the shoes are 20% off

25 - 5 = $20

I hope this helped, please mark Brainliest, thank you!

Answer:

If Jonny is buying a new pair of shoes for that were $25.00 before the shoes went on sale the shoes are now 12.50 ct

Step-by-step explanation:

8x+(-6)=5x-1 show step my step ​

Answers

Answer:

x=5/3 or 1 and 2/3

Step-by-step explanation:

8x+(-6)=5x-1

8x+(-6)+6=5x-1+6

8x=5x+5

8x-5x=5x-5x+5

3x=5

3x/3=5/3

x=5/3 or 1 2/3

What is the missing value in the ratio table below?

6 10
9 15
18 ?



A.
3

B.
30

C.
5

D.
45

Answers

Answer:

B.30

Step-by-step explanation:

Make a table and do ten divided by 10 to get 1 and divide 6 by 10 to get 0.6 then do 18 divided by 0.6 to know what to multiply by to get to eighteen which ends up being 30

what is 55% of 300?​

Answers

Answer:

165

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

Hope this helps!

Do you know what the sales tax is in your state?

Answers

Answer:

no ;)

Step-by-step explanation:

Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.

Answers

Answer: The answer to this question would be  {9}/{2}

Step-by-step explanation:

Answer:

x=69

Step-by-step explanation:

I had this question

One number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the probability the selected number is less than 7, given that it is less than 8.

Give your answer as a decimal rounded to 4 decimal places.

Answers

Answer:   0.8571

====================================================

Explanation:

We're told that "given that it is less than 8", so we only focus on these values {1,2,3,4,5,6,7}. There are B = 7 items in this set.

Of those, the set {1,2,3,4,5,6} are less than 7. There are A = 6 items in this set.

The probability we're after is A/B = 6/7 = 0.8571

Answer:

I just got this question in my book, and i already solved it. so just saying that i now the answer, it is 0.8571

Find the area of a rectangle it the length
is
3x^2 and the width is 6x^3

Answers

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[tex]area = (length) \times (width)[/tex]

[tex]area = 3 {x}^{2} \times 6 {x}^{3} [/tex]

[tex]area = 18 \times {x}^{2 + 3} [/tex]

[tex]area = 18 {x}^{5} [/tex]

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A daycare employee earns $10.90 per hour for the first 40 hours he works in 1 week. He is paid 1.5 times that rate for each additional hour that he works. How much money does he earn working for 43 hours in 1 week? (Help i need conformation on how to do this i tried but its too confusing help pls)

Answers

He earns 485.05 if he works 43 hours

which equation represents a slope intercept form of the line below ​

Answers

Answer:

y = 1/2x + 8

Step-by-step explanation:

The 8 is where the line passes through the y-coordinate, and the 1/2x is the slope of the line. The 8 is positive because the line passes through +8 and not -8.

is .36749… ratinal or irrational

Answers

I believe it is irrational

1/2 times blank plus two equals zero. what goes into the blank?

0 =1/2 x ___ +2

Answers

Answer:

-4

Step-by-step explanation:

Because 1/2 times -4 equals -2

then -2+2=0

which number is ten times more than 0.006

Answers

Answer:

0.06

Step-by-step explanation:

0.006 x 10

When multiplying by 10, 100, 1000, 10000, etc, you move the decimal place to the right as many times as there are zeros in what you are multiplying it by. Because there is one zero in ten, we move the decimal place one to the right.

0.06

I hope that this helps! :)

Perform the following calculation.
1 - 4 + 1 - 111 =

Answers

Answer:

-115

Step-by-step explanation:

Answer:

-113

Step-by-step explanation:

1-4+1-111 = -3+1-111 = -2-111 = -113

How can you find the reciprocal of 0.8? Select all that apply.
A. Solve the equation 0.8x = 1.
B. Solve the equation 0.8 + x = 1.
C. Divide 1 by 0.8.

Answers

Answer:

C

Step-by-step explanation:

Because in the end, 0.8 is decimal that can be converted to a fraction which can then be flipped. 4/5 = 0.8. So the reciprocal would be 5/4 or 1.25.

1 / 0.8 = 1.25

Answer:

C

Step-by-step explanation:

0.8 is decimal that can be converted to a fraction which can then be flipped

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

Answers

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

f(x) = 1/5-0 = 1/5 = 0.2, 0<x<5

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

Hence,  the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

PLZ MARK BRAINiLEST :DD

x^2 + y^2 = 4

determine whether or not the equation represents y as a function of x...please help me

Answers

No because I'm pretty sure that equation creates a circle which doesn't pass the vertical or horizontal line test

Find the directional derivative of the function f(x,y)=2cos(y)exf(x,y)=2cos⁡(y)ex at the point (0,π6)(0,π6) in the direction of the vector v=⟨−8,6⟩v=⟨−8,6⟩.

Answers

Answer:

[tex]D_u f(0,\pi/6)=\frac{4\sqrt{3}-3}{5}[/tex]

Step-by-step explanation:

We are given that

[tex]f(x,y)=2cos(y)e^{x}[/tex]

Point=([tex]0,\pi/6[/tex])

Vector v=<-8,6>

We have to find the directional derivative of the function.

[tex]f_x(x,y)=2cos(y)e^{x}[/tex]

[tex]f_x(0,\pi/6)=\sqrt{3}[/tex]

[tex]f_y(x,y)=-2sin(y)e^{x}[/tex]

[tex]f_y(0,\pi/6)=-1[/tex]

[tex]|v|=\sqrt{(-8)^2+6^2}=\sqrt{100}=10[/tex]

[tex]\hat{u}=\frac{v}{|v|}=\frac{-8i+6j}{10}=\frac{1}{10}(-8i+6j)[/tex]

[tex]\nabla f(0,\pi/6)=<f_x(0,\pi/6),f_y(0,\pi/6)>=<\sqrt{3},-1>[/tex]

Now, the directional derivative in the direction of v at point (0,[tex]\pi/6[/tex]) is given by

[tex]D_u f(0,\pi/6)=\nabla f(0,\pi/6)\cdot \hat{u}[/tex]

By using the formula

[tex]D_u f(x,y)=\nabla f(x,y)\cdot \hat{u}[/tex]

[tex]D_u f(0,\pi/6)=<\sqrt{3},-1>\cdot <-\frac{8}{10},\frac{6}{10}>[/tex]

[tex]D_u f(0,\pi/6)=-\frac{4\sqrt{3}}{5}-\frac{3}{5}=-\frac{1}{5}(4\sqrt{3}+3)[/tex]

I need help I know its not b or c. Will mark brainliest to correct person

Answers

Answer:

Its A

Step-by-step explanation:

Soure: Trust me bro

Answer:

D

Step-by-step explanation:

line (7,-3)  yes

slope-2  yes

can be rewritten as y=-2x+ 11yes

line (-7, 3) NO

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