A study suggested that childrenbetween the ages of 6 and 11 in the US have anaverage weightof 74 lbs. with a standard deviation of 2.7 lbs.If we assumethe weights are normally distributed, what proportion of childrenin this age range between 70 lbs. and 85 lbs.

Answers

Answer 1

Answer:

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.

This means that [tex]\mu = 74, \sigma = 2.7[/tex]

What proportion of childrenin this age range between 70 lbs and 85 lbs.

This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So

X = 85

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{85 - 74}{2.7}[/tex]

[tex]Z = 4.07[/tex]

[tex]Z = 4.07[/tex] has a pvalue of 1

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 74}{2.7}[/tex]

[tex]Z = -1.48[/tex]

[tex]Z = -1.48[/tex] has a pvalue of 0.0694

1 - 0.0694 = 0.9306

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.


Related Questions

which one is a Metaphor


1. A phrase where the words have no connection to their meaning. carries no meaning outside of context or prior experience with the phrase and cannot be translated.

2. Extreme exaggeration

3. words that have the same beginning sound together

4. A reference or mention of a person, event, statement, piece of art, history, myths, religion, or popular culture

5. A direct comparison that does not use like or as. Instead, it says something IS something else.

6. Giving human characteristics to non-human things.

Answers

Answer:

5. A metaphor is a direct comparison that does NOT use the words like or as. It says that something is something else.

For example:

Her eyes are the ocean and you can get lost in their waves.

His speed is that of a cheetah.

She is the calm wind on a late Sunday evening.

He is the brain of a computer while he designs the new car.

3/5 TIMES 1/2 WHOEVER ANSWERES IN UNDER 2 MINUTS I WILL MARK BRAINLIEST AND ILL GIVE YOU EXTRA POINTS

Answers

Step-by-step explanation:

3/10 or 0.3

hope it helps:))!

Answer:

0,3

= 3/10

Step-by-step explanation:

thank you

i hope this helps

An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?

Answers

Answer:

The employee would earn $320 for a 40-hour work week.

Step-by-step explanation:

Given

Total Earning amount = $72.00Total Time taken = 9 hours

To determine

We have to find the employee's earning earn for a 40-hour work week.

First Step

Determining the hourly rate

In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.

Hourly rate = Total Earning amount / Total Time taken

                   = $72.00 / 9 hours

                   = $8.00 per hour

Second Step

Determining the employee's earning earn for a 40-hour work week.

As we have already determined that employee is earning $8.00 per hour.

i.e.

Hourly rate = $8.00 per hour

In order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.

Thus,

Earning for 40-hour work week = Hourly rate × 40

                                                     = 8.00 × 40

                                                     = $320

Therefore, the employee would earn $320 for a 40-hour work week.

what is m/a
side a
side b

Answers

side b side b side b side b

the factory made a hundred packs of gum 40% of the packs contain to mint flavored gum how many packs of mint gum did the factory make​

Answers

Answer:

I would say that this is 40 packs of mint flavored gum (sorry if this is wrong)

Step-by-step explanation:

Since there are 100 packs of gum, the 40% just turns into 40

Which of the following graphs represents the solution to the following system
of inequalities?
3x + 4y <12
2x - y24

Answers

Answer:

I am pretty sure it is most likely answer D.

Step-by-step explanation:

Hope this helps! Have a great day and good luck!

problem: which of the expression(s) below is greater than 5/2? Select all that apply

A) 2/5 ÷ 4/3

B) 4/3 ÷ 1/3

C) 5/3 ÷ 1/2

Answers

Answer:

C) 5/3 divided by 1/2

Step-by-step explanation:

5/2 = 2.5

A. 2/5 divided by 4/3 = 0.3

B. 4/3 divided by 1/3 = 1

C. 5/3 divided by 1/2 = 3.333

3.333 is bigger than 2.5

:)

y + 2x = -1

y = 1/2x + 4

Answers

Answer:

x = -1

y = 3

Step-by-step explanation:

y + 2x = -1

y = 1/2x + 4

(1/2x + 4) + 2x = -1

1/2x + 2x + 4 = -1

2 1/2x + 4 = -1

2 1/2x = -1 - 4

2 1/2x = -5

x = -5 / 2 1/2

x = -2

y + 2x = -1

y + 2(-2) = -1

y - 4 = -1

y = -1 + 4

y = 3

Which fraction has the same value as 0.3


Answers

3/10


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PLZZZZ HELP IT'S FOR MIDDLE SCHOOOOOLLLLL
Tyler’s brother works in a shoe store. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?

Answers

Answer:

$22.5

Step-by-step explanation:

PLEASE HELP ITS URGENT
8. Calculate the value of Angle B: ___________

Answers

Answer:

36

Step-by-step explanation:

First: add 24and 30 to get 54

Second: subtract 54 from 90

Third: then you get 36 as an answer

show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0

Answers

Answer:

[tex]Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved[/tex]

If you were to solve the equation x+14=22, what steps would you take to solve this equation?​

Answers

subtract 14 from 22 to isolate the variable

How much interest is earned on $342.50 at 8% for three years?

Answers

the answer is $82.20 because 342.5 x .08=27.4 and 27.4 x 3=82.2

HELP! DUE IN 5 MINS TvT

Could the table of (x,y) pairs
Have been generated by a linear function?

O. Yes
O. No

Answers

I believe that answer is No
Yes
Vhfbunn gn Maugham

It takes 80 oz of grass seed to seed 5600 ft? of lawn. At this rate, how much would be needed for 8400 ft of lawn?

Answers

Answer:

120 oz

Step-by-step explanation:

5600/80 = 70 rate

8400/ 70 = 120 oz

f(x)= 2/x-2 find (fof) (i)

Answers

Answer:

Step-by-step explanation:

cant see pic

"35 degrees above 0 positive or negative

Answers

Answer:

Positive

Please mark me brainliest!!!!!!

Positive!

Anything above 0 is positive.

Bye!! <3

-Lexi

-7 1/3 divided by 4 1/4 in mixed number.

Answers

Answer:

1 37/51

Step-by-step explanation:

Justin says that the value of the expression is 450. How did he get that answer?
8+13+4×1/3(27÷1/2).

Answers

The answer is 93!!!!

The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.

Answers

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex]    [tex]\frac{y_1+y_2}{2} =Ymp[/tex]

[tex]\frac{6+x_2}{2} = 1[/tex]          [tex]\frac{-2+y_2}{2} =2[/tex]    

multiply each by 2  to simplify

[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex]    [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify

6+[tex]x_{2}[/tex] = 2                          -2+[tex]y_{2}[/tex] = 4  =  

-6       -6                          +2       +2

   [tex]x_{2}[/tex] = -4                               [tex]y_{2}[/tex] =  6

To check use the Midpoint formula

[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]

what does x = and round to the nearest tenth

Answers

Answer:

X=8.6

Step-by-step explanation:

;)

Given f(x) = x^2+ 3x, find f(A + 4).

Answers

Answer:

f(x) = x^2+ 3x

f(A + 4)=(A+4)²+3(A+4)=A²+8A+16+3A+12

=A²+11A+28

21x-9+27=180 what is x?​

Answers

The value of X is 69 lol get rekt

pls helpp mee!!!!! pleaseee

Answers

Answer:

it is 5 inches squared

Step-by-step explanation:

1 inches. sjwjqkqkwjhed

#3 (1 pt) A certain baseball card is very rare and is currently worth $2000. If the price of this card increases by 3% a year,
write an exponential equation for how much the card will be worth x years from now.

Answers

Answer:

$2000x(1.03)ˣ

Step-by-step explanation:

This is known as compound interest.

100% + 3% = 103%, so we put this into a decimal: 1.03

We now put this into the equation:

$2000x(1.03)ˣ

If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes

$2000x(1.03)³

You can then use a calculator to work out the answer.

For parallelogram ABCD, find the value of x

Answers

3x+20=5x-12
3x+20+12=5x-12+12
3x+32=5x
3x-3+32=5x-3
32=2x
32/2=2x/2
16=x
reflexive property of equality
x=16

Answer:16

Step-by-step explanation:

Factor

x2 + 10x + 25

Answers

x=-5 i hope this helpsss

Answer:

(x+5)(x+5)

Step-by-step explanation:

x²+10x+25

25

/ \

+5 and +5

(x+5)(x+5)

if you dont understand. I recommend this video https://youtu.be/yBCAv_NzzPQ

at 10:21

Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink

Answers

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

points lol 3929292910100100102

What is the volume of a cube with edge length 1/3 cm

Answers

Answer:

1/27 cm3

Step-by-step explanation:

(1/3)(1/3)(1/3)

Other Questions
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You application should be self-contained and run without user input.Assignment ObjectivesPractice on implementing inheritance in JavaFootballPlayer will extend a new class, PersonOverriding methodstoString( ) (Links to an external site.)Links to an external site. which is a method from the Object class, will be implemented in OffensiveLine, FootballPlayer, Person and HeightKeep working with more complex classesin the same way that FootballPlayer had a class as an attribute (Height height), OffensiveLine will have FootballPlayer as an attributeDeliverablesA zipped Java project according to the How to submit Labs and Assignments guide.O.O. Requirements (these items will be part of your grade)One class, one file. 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String toString() int number OffensiveLine .FootballPlayer center .FootballPlayer offensiveGuard .FootballPlayer offensiveTackle . 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