The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data. What percent of 8th graders heights are between 138 cm and 162 cm? What percent of 8th graders heights are between 122 cm and 170 cm? What percent of 8th graders heights are between 130 cm and 162 cm?

Answers

Answer 1

Answer:

a) 68%

b) 99.7%

c) 95%

Step-by-step explanation:

The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.

Empirical rule states that:

68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 146

Standard deviation = 8cm

a) What percent of 8th graders heights are between 138 cm and 162 cm?

146 - sx = 138cm

146 - 138 cm = 8cm

146 - 162 cm = 8cm

Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

b) What percent of 8th graders heights are between 122 cm and 170 cm?

Standard deviation = 8

146 - 122 = 24 cm

146 - 170 = -24cm

24cm/8 cm = 3

Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

c) What percent of 8th graders heights are between 130 cm and 162 cm?

146 cm - 130cm = 16cm

162 cm - 146 cm = 16 cm

16cm/8cm

= 2

Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .


Related Questions

5. What is the length of the unknown leg? ​

Answers

Answer: a = 8

Step-by-step explanation:

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = √64

a = 8

Which statement is true for all functions f(x)?

Answers

A is the answer I think

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer:

No

Step-by-step explanation:

3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor

Answer:

No

Step-by-step explanation:

Let's assume (x + 5) is the factor of f(x) = x^3 − 4x^2 + 3x + 7

then f(-5) should be equal to zero. Verifying:

f(-5) = (-5)^3 - 4(-5)^2 +3(-5) + 7 =-125 - 100 - 15 + 7 = -233

Since -233 ≠ 0, the statement is false, so (x + 5) is not a factor of given polynomial

PLS HELP ASAP! <3 sorry for caps

Answers

Answer:

the answer would be 224/2

Step-by-step explanation:

Using the elimination method to solve
2 x-y=8
x + y = 20

Answers

Step-by-step explanation:

2x-y=8

x+y=20

------------

3x=28

×=28÷3=9.3

so

9.3+y=20

y=20-9.3

y=20.7

PLEASE HELP!! THANK YOU!!

Answers

Step-by-step explanation:

i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D

Answer:

(0,-2)

Step-by-step explanation:

Parallelograms have parallel lines and equal opposite lines.

You can count.

For Ex: A is 1 above and 5 to the left of B.

So D should be 1 above and 5 to the left of C.

C is at (5,-3)

Go up 1 and left 5 and you get (0,-2)

Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?

Answers

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

8 minutes because 48/3 is 16
so 128/16 is 8
and 128/48 is 2.6
3x2.6 is 8

What is the average rate of change for [-1,2]?

Answers

Answer:

Step-by-step explanation:

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.

Can someone help me please? I will give brainly

Answers

Answer:106 I think

Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?

Answers

Answer:

Let's represent pink flowering plants with the variable p:

8p + 5(15 - p) = 96

8p + 75 - 5p = 96

3p = 21

p = 7

Step-by-step explanation:

Arianna bought 7 pink flowering plants

Answer:

B) 7

Step-by-step explanation:

took the test on edg

what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.

Answers

MAD= mean absolute deviation. Find the mean first. So if you add all the numbers and divide by the amount of numbers. Then you do the data value subtracted by the mean. Mean= 912 divided by 12 which equals 76. 912-76= 836. Sorry if it’s wrong, I don’t remember much from learning this.

Answer:

11.16

Step-by-step explanation:

hope this helps

can someone please help me out on this

Answers

Answer:

a.

Step-by-step explanation:

for A, put a dot on (0,2) and (1,5) and connect them (arrow should be pointing up)

then make another line by plotting a dot on (0,-2) and (1,-4) (arrow should be pointing down)

since the < and > have an equal to (_) line at the bottom, the point/dot at (0,2) and (0,-2) have to be filled in

what is the answer to this?​

Answers

Answer:

[tex] < 1 = 48[/tex]

Step-by-step explanation:

[tex] < 1 + 132 = 180[/tex]

[tex] < 1 = 180 - 132[/tex]

[tex] < 1 = 48[/tex]

because it's a straight angle(180)

The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?​

Answers

Answer:

40%

Step-by-step explanation:

Ignore the zeros, then think about the 15 ‘s multiplication table. Once you do, you will find that 90 is 15 times 6, which is 60%. And 100-60 is obviously 40. Hope this helps.

The percentage that was reduced from the original price is 40 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The original price of the skateboard = $ 150

The reduced price of the skateboard = $ 90

The difference between the original price and reduced price =
Original price of the skateboard - Reduced price of the skateboard

The difference between the original price and reduced price = 150 - 90

                                                                                                      = $ 60

Let the percentage decrease be A

Now the equation will be

Original price of the skateboard - A % ( Original price of the skateboard ) =
Reduced price of the skateboard

So ,

150 - A/100 ( 150 ) = 90

Adding A/100 ( 150 ) on both sides , we get

A/100 ( 150 ) + 90 = 150

Subtracting 90 on both sides , we get

A/100 ( 150 ) = 60

Multiply by 100 on both sides , we get

150A = 6000

Divide by 150 on both sides , we get

A = 40 %

Hence , the percentage at which the price of the skateboard reduced is 40%

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ6

MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.

Answers

Answer:

16)

Bobby - 70

Hannah - 90 (Wins the round)

Carlos - 80

17)

Bobby - 7  (Wins the round)

Hannah - 3

Carlos - 5

Step-by-step explanation:

First we can make the variable n into each of the values they chose for the equations. Let's start with 16.

The equation is - (3+7) X (10 - n ÷2)

Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.

USE PEMDAS!!!

16)

Bobby -

1. (3+7) X (10 - 6 ÷2)

2. 10 X (10 - 6 ÷ 2)

3. 10 X 7

4.  Answer for Bobby - 70

Hannah -

1.  (3+7) X (10 - 2 ÷2)

2. 10 X (10- 2 ÷2)

3. 10 X 9

4. Answer for Hannah - 90 (Wins the round)

Carlos -

1. (3+7) X (10 - 4 ÷2)

2. 10 X (10 - 4 ÷ 2)

3. 10 X 8

4. Answer for Carlos - 80

17)

Bobby -

1. (2 X 6 + 2) ÷ 2

2. (12 + 2) ÷ 2

3. 14 ÷ 2

4. Answer for Bobby - 7 (Wins the round)

Hannah -

1.  (2 X 2 + 2) ÷ 2

2. (4+2) ÷ 2

3. 6 ÷ 2

4. Answer for Hannah - 3

Carlos -

1. (2 X 4 + 2) ÷ 2

2. (8+2) ÷ 2

3. 10 ÷ 2

4. Answer for Carlos - 5

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!!!

During a movie, Tanvi ate 4/5 of a handful of snack mix, and Wyatt ate 2/5 of a handful. How much more did Tanvi eat?

Answers

2/5 more i believe!
basically just subtract 4/5 and 2/5 and you get 2/5
feel free to mark brainliest, hope this helps!

Answer: 2/5

Step-by-step explanation:

PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!

Answers

Answer:

B : y − 3 = 2/3 ⋅ ( x − 3 )

Step-by-step explanation:

Answer:

B, but if I am only 95 percent sure.

Step-by-step explanation:

A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?

Answers

the average speed for the trip is 11 miles per hour, or mph. 99 miles divided by 9 is 11

2. Consider the following graph of a quadratic function.
a Doline the domain
b. Define the range
c. Where is the graph increasing
d. Where is the graph decreasing
. Identify any relative maximums.
1 Identily any relative minimums

10 points!!!

Answers

Answer:

Domain is all real numbers.

Range is -3 to infinity that is y >= -3 (that is y -3)

Increasing from x > -4 ( that is from -4 to +infinity) that is to right of -4

Decreasing from x <-4 (that is -infinity to -4) that is to left of -4

This has a minima at x= -4 with y= -3. We can write as (-4, -3)

Maxima is not there as it is going to infinity

Step-by-step explanation:

How do u show work for this problem

Answers

Just show how you dived the equation and found the X

Answer:

im not seeing the problem...

Select all the points that are on the graph of the line 2x + 3y = 6

Answers

Answer:

The points are;

X       Y

3       0

0       2

12     -6

15     -8

This is in no particular order.

Step-by-step explanation:

g(c)=19−c^2

What is g(4)?

Enter your answer in the box.

Answers

Answer:

g(4)=3

Step-by-step explanation:

Answer:

g = 19

Step-by-step explanation:

Given: AB || DC, AD || BC
Prove:

Answers

Answer:

Reasons:

2. Opposite interior angles

4. Opposite interior angles

5. Same line

6. Congruence

Step-by-step explanation:

Can someone help within 10 min Help plz

Answers

Answer:

-6x + y < 3

Step-by-step explanation:

After y = 3 the shading hits the y axis!

Brainliest Appreciated! Hope I helped!

Simplify the expression. 3.7z to the power of 2+7.2+9z-1.2-2z+z to the power of 2.


Please help

Answers

The answer is Would be 2 hehehehe hshshs x=2

Please help due soon!

Answers

a=6underroot2 and b =4/ underoot3
yeah what they said lol sorry need to get this in

Plsss help ty I’ll mark u

Answers

Answer:

7/4 meter

Step-by-step explanation:

their all in fractions of 8 so let reduce

Corn - 8 goes into 19 twice with the remander of 3 --> 2 and 3/8

Pepper 5/8 cause that cant be reduced any lower

Squash - 7/8 cant be reduced any more

Now its asking to subtract the tallest plant from the smallest to see the diffrence

The tallest plant is Corn and the shortest is Pepper

19/8 - 5/8 = 14/8

reduce 7/4

Answer:

It is 14/5 meters taller.

Step-by-step explanation:

[tex]\frac{19}{8}[/tex] - [tex]\frac{5}{8}[/tex] = [tex]\frac{14}{8}[/tex]

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

Finish solving the system of equations X -5 y =6 and-x+2y=_3 what is the value of y substitute the value of y back into one of the original equation to find the value of x what is the value of x

Answers

please see my steps to work this problem

How many solutions does the system of equations below have?
y = 3x + 4
y + 6 = 3x

Answers

Answer:

0 / no solutions

Step-by-step explanation:

Rewrite both in terms to the form y = equation.

EQ1: y = 3x + 4 (already in correct form)

EQ2: y = 3x - 6 (subtracting 6 from both sides).

Now suppose there is an intersection, then:

3x + 4 = 3x - 6, subtracting 3x from both sides gives:

4 = -6, which is a contradiction!

Therefore there are 0 / no solutions

Other Questions
Melanie is making lemonade for a family barbecue. Her recipe which yields 1 pitcher contains 6 cups of water, 2cups of sugar and 1 cup of lemon juice. If she wants to make 3 pitchers of lemonade, how many cups of sugarwill she need? Over the course of the past 4 months, Victors family spent a total of $360 on their satellite television bill. Based on this rate, how much does their satellite service cost in a year? PLEASE HELP I WILL AWARD BRAINLIESTHow was military housing commonly reused after World War II in Oklahoma?A.as college student housingB.as halfway housing for released prisonersC.as military storage facilitiesD.as manufacturing storehouses Abigail drew a scale drawing of the oldest house in her town. The actual house is 64 feet long. Abigail's scale drawing is 8 inches long. What scale did Abigail use to draw the house? 8 inches equal 1 foot 8 inches equal 18 foot 1 inch equals 18 foot 1 inch equals 8 feet iron and rocks containing iron show yellowish rust due to What ended the Harlem Renaissance? A. World War 1B. The Great Depression C. The invention of the television D. The Civil War c(x) = -5x^2+xFind c(4) The ratio of 8 less than a number to 28 more than that number is 2 to 5. What is the number?a. 32b. 30c. 28d. 15 What other indigenous dances do you know? What dothey represent? can someone help me with this? (look at the image) A 3-pound bag of almonds costs $16.50, a 5-pound bag of walnuts costs $28.75, and a 4-pound bag of cashews costs $24.80. Which is the best deal from best to worst deal W. No Person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty five Years, and been fourteen Years a Resident within the United States.X. The Congress, whenever two thirds of both Houses shall deem it necessary, shall propose Amendments to this Constitution, or, on the Application of the Legislatures of two thirds of the several States, shall call a Convention for proposing Amendments.Y. The Congress shall have Power To declare War, grant Letters of Marque and Reprisal, and make Rules concerning Captures on Land and Water; The President shall be Commander in Chief of the Army and Navy of the United States.Z. The Citizens of each State shall be entitled to all Privileges and Immunities of Citizens in the several States. A Person charged in any State with Treason, Felony, or other Crime, who shall flee from Justice, and be found in another State, shall on Demand of the executive Authority of the State from which he fled, be delivered up, to be removed to the State having Jurisdiction of the Crime.Which excerpt from the U.S. Constitution reflect the principle of separation of powers? Section 1Evelyn reads 25 pages in 30 minutes.Number of Pages25400Time (in minutes)30?If Evelyn reads 400 pages at this same rate, how many minutes will it take her?O 90 minutesO 120 minutesO 375 minutes0 480 minutes The hypotenuse of a right triangle is 13ft long. The longer leg is 7ft longer than the shorter leg. Find the side lengths of the triangle. In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places. Why do states charge taxes and fees? Match each word to its meaning in English.MATCH THE WORD ON THE LEFT WITH THE CORRECT WORD ON THE RIGHTcancinSelectmantaSelectsorpresaSelectregaloSelectReset AnswersSubmit Frederick wanted to find out what soil work best for growing roses he grew HELP PLEASE!!! ITS AN EXAM!!!!!! Human bones have both strength and a limited amount of flexibility. Their strength helps bones to perform which function?a. produce blood cellsb. circulate oxygen. absorb calciumd. provide support Why was the Neolithic Revolution a significant turning point in world history? Pls help with this question!!