g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standard deviation of 2.4 inches. Amy is 7 years old, and her height is 1.34 standard deviations above the mean. Her friend Sophia is also 7 years old and is at the 94th percentile of the height distribution. a. At what percentile is Amy's height? Draw and label the Normal model that corresponds to this situation. b. How does her height compare to Sophia's? c. What percent of 7-year-old girls would you expect to be taller than 49.4 inches? Draw and label the Normal model that corresponds to this situation. d. Below what height are the shortest 30% of 7-year-old girls? Draw and label the Normal model that corresponds to this situation.

Answers

Answer 1

Answer:

a) 90th percentile

b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92

c)  0.2394

d)  46.44 inches

Step-by-step explanation:

mean value( u ) = 47.7 inches

std ( σ )= 2.4 inches

Amy height = 1.34 std above mean value

Sophia height = 94th percentile of height distribution

A ) what percentile is Amy's height

To Calculate the percentile of Amy's height

P( X ≤  50.916   ) = P( (X-µ)/σ )  ≤  (50.916-47.7) /2.4)  

=P(Z ≤  1.340  ) = 0.9099  = 90th percentile

B) How Amy's height compare to Sophia's

The proportion given based on Sophia's height = 0.94

z -value at the proportion ( 0.94 ) = 1.55 ( from excel )

note z-value can be calculated using  =  ( x - µ ) / σ                      

therefore: X (Sophia's height )  = zσ + µ=   (1.55 * 2.4)  +  47.7  

 X = 51.43 ( Sophia's height ) , Amy's height = 50.92

C) percentage expected to be taller than 49.4 inches

P ( X ≥ 49.40  ) = P( (X-µ)/σ)  ≥ (49.4-47.7) / 2.4)              

= P(Z ≥ 0.708 )

= P( Z <  -0.708   )

= 0.2394

D) Below what height are the shortest 30% of 7-year old girls

( u ) = 47.7 inches

std ( σ )= 2.4 inches

given proportion = 30% = 0.3

The z value at 0.3 = -0.52 ( from excel )

to calculate for X ( height ) we have to apply the formula used to determine z value

z= (x-µ) /σ

hence : X = (Z * σ)  + u = (-0.52 * 2.4 ) + 47.7

            X = 46.44

below 46.44 inches lies about 30% of 7 year old girls height


Related Questions

please help me with this question ​

Answers

hello h8iiiiiiiiiiiiii

Which of the following is a source of income?
A. Timeshare
B. Employment
C. House purchase
D. FICA

Answers

B.Employment...

Hope it helps..plz mark as brainlist..

What is 5x + 3y ≥ 75 in slope intercept form?

Answers

Answer:

y >= 25 - 5x/3

Step-by-step explanation:

5x + 3y >= 75

-5x             -5x

3y >= -5x + 75

3y/3 >= (-5x+75)/3

y >= 25 - 5x/3

how many solution does 2x – 1 = 1 – 2x have?

Answers

Answer:

1

Step-by-step explanation:

Hello,

2x – 1 = 1 – 2x

<=> 2x-1+2x=1

<=> 4x-1=1

<=> 4x = 1+1=2

<=> x = 2/4 = 1/2

Then there is only one solution.

Thanks

Answer:

one solution, x = 1/2

Step-by-step explanation:

2x -1 = 1 -2x

solve using inverse operations

2x -1 = 1 - 2x

+1        +1

2x = 2 -2x

+ 2x   +2x

4x = 2

/4   /4

x = 1/2

hence this equation has one solution x = 1/2

A pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping. Heather has$16.00 for her large pizza. How many toppings can she order?

Answers

Answer: Heather can order 5 toppings

Step-by-step explanation:

topping one: $10.25

topping two: $11.50

topping three: $12.75

topping four: $14.00

topping five: $15.25

If she gets any more toppings she won't have enough.

5 Toppings Total

She can add five more toppings

The diference between
12•6 and a number
is 5•4. find two possible values for thenumber​

Answers

Answer:

18, 7.4 (if its 12.6) and 52, 92 (if its 12x6)

Step-by-step explanation:

If y varies directly as x, and y is 400 when x is n and y is n when x is 4, what is the value of n?

Answers

Answer:

100

Step-by-step explanation:

4xy times 100n the variable of 4xy would be times in the related number of 100n to get the answer 400

Help URGENT!!!


You are buying new carpet for your bedroom. Your bedroom is 14 ft by 14 ft. You have $700
to spend on carpet. Carpet is sold in square feet (area). Write and solve an inequality that tells
you how much you can spend, per square foot, on carpet.

Answers

You can spend 3.57 per square foot of carpet. You take 14*14 and then you take that number and divide 700 by it

Given the points A(-1, 2) and B(7,6), find the coordinates of the point P on the
directed line segment that partitions in the ratio 1:3. Plot P along with
segment AB
ot

Answers

Answer:

plot ab is right just had the test

if f(x)=2x^2 +3x what is f(9)

Answers

Answer:

f(9) = 189

Step-by-step explanation:

Plug 9 into x

f(9) = 2(9)^2 + 3(9)

f(9) = 2(81) + 27

f(9) = 162 + 27

Thus, f(9) = 189

Answer:

189

Step-by-step explanation:

f(x) = 2x^2 + 3x , f(9)

f(9) = 2(9)^2 + 3(9)

= 2(81) + 27

= 162 + 27

= 189

Solve. 4x + 3 = 47
A. x = 11
B. x = 40
C. x = 44
D. x = 50

Solve. one-third x = 12
A. x = 4
B. x = 15
C. x = 36
D. x = 39
Solve. 3x + 3 = 21
A. x = 5
B. x = 6
C. x = 18
D. x = 36

Solve. Start Fraction 3 over 2 End Fraction x – 4 = 16
A. x = 20
B. x = 13 start fraction 1 over 3 end fraction
C. x = 15 start fraction 1 over 3 end fraction
D. 30


Use the given equation to find the solution to the following problem.

The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
A. c = $9.95
B. c = $20.45
C. c = $35.00
D. c = $114.45

Write an equation and solve to find the solution to the following problem.

You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your coupon and money?
A. 1 shirt
B. 2 shirts
C. 3 shirts
D. 4 shirts

Answers

$27.00-6.00=21.00

21.00-11.00=10.00

A

The value of 2.52 is 100. True False​

Answers

Answer:

False

Step-by-step explanation:

Sorry if I’m wrong I tried my best

How much greater is the sum of the first 100 triangular numbers than the sum of the first 99 triangular numbers? Answer: It is bigger.

Answers

Answer:

First, a triangular number can be written as:

Tₙ = (n^2 + n)/2

where n is the number of our triangular number, n = 1 represents the first one, n = 2 represents the second one, etc.

The sum of the first 100 triangular numbers is:

S1 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀)

The sum of the first 99 triangular numbers is:

S2 = (T₁ + T₂ + ... + T₉₉)

Then the difference will be:

D = S1 - S2 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀) - (T₁ + T₂ + ... + T₉₉) = T₁₀₀

And we can find the value of T₁₀₀ if we use the equation for triangular numbers:

T₁₀₀ = (100^2 + 100)/2 = 5,050

Answer:

First of all I don't understand either, and I got it wrong.

Step-by-step explanation:

alias's hair grows at a rate of about 1/2 inch per month. how many months will it take her hair to grow 8 inches?

Answers

Answer:

16 months to grow hair to 8 inches

Answer:

16

Step-by-step explanation:

So we know that one month = [tex]\frac{1}{2}[/tex] inch.

As a result, two months = 1 inch.

Double that.

4 months = 2 inches

8 months = 4 inches.

16 months = 8 inches.

It's always a 2:1 ratio.

~theLocoCoco

In the equation y=3/2x-4what are the slope and y-intercept?

Answers

Answer:

Slope:  

3/2

y-intercept:  

(0,-4)

Step-by-step explanation:

The _____ is the part of a conditional statement that expresses the conditions that must be met by the statement.

Answers

Answer:

hypothesis

Step-by-step explanation:

Answer:

The hypothesis is the part of a conditional statement that expresses the conditions that must be met by the statement.

Step-by-step explanation:

Hope this helped you!

Please help! I'm timed!​

Answers

the answer should be (3,2) since it's in the shaded region

Answer:3,2

Step-by-step explanation:it is on the line

Choose the two rectangular prisms that have a volume of 36 cm”.
= 1 cm3
A.
D.
B.
E.
C.

Answers

Answer:

B & D

Step-by-step explanation:

Volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

For (a):

[tex]Length = 3cm[/tex]

[tex]Width = 4cm[/tex]

[tex]Height = 5cm[/tex]

[tex]Volume = 3cm * 4cm * 5cm[/tex]

[tex]Volume = 60cm^3[/tex]

For (b):

[tex]Length = 3cm[/tex]

[tex]Width = 4cm[/tex]

[tex]Height = 3cm[/tex]

[tex]Volume = 3cm * 4cm * 3cm[/tex]

[tex]Volume = 36cm^3[/tex]

For (c):

[tex]Length = 4cm[/tex]

[tex]Width = 2cm[/tex]

[tex]Height = 2cm[/tex]

[tex]Volume = 4cm * 2cm * 2cm[/tex]

[tex]Volume = 16cm^3[/tex]

For (d):

[tex]Length = 2cm[/tex]

[tex]Width = 3cm[/tex]

[tex]Height = 6cm[/tex]

[tex]Volume = 2cm * 3cm * 6cm[/tex]

[tex]Volume = 36cm^3[/tex]

There's no need to check for (e)

Option b and d answers the question

Using the volume of a rectangular prism to examine the volumes of the prism, the two prisms with a volume of 36cm³ are B and D

Recall :

Volume of a rectanglular prism = Length × width × Height

Prism A :

Length = 3cm ; Height = 5cm ; Width = 4cm

Volume = 3cm × 5cm × 4cm = 60 cm³

Prism B :

Length = 3cm ; Height = 3cm ; Width = 4cm

Volume = 3cm × 3cm × 4cm = 36 cm³

Prism C :

Length = 4cm ; Height = 3cm ; Width = 2cm

Volume = 4cm × 3cm × 2cm = 24 cm³

Prism D :

Length = 2cm ; Height = 6cm ; Width = 3cm

Volume = 2cm × 6cm × 3cm = 36 cm³

Prism E :

Length = 3cm ; Height = 5cm ; Width = 4cm

Volume = 4cm × 2cm × 2cm = 16 cm³

Hence, the two rectangular prisms with a volume of 36cm³ are B and D.

Learn more : https://brainly.com/question/25608731

Shen wants to earn more than $65 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Shen could trim trees?

Use t for the number of hours.

Write your answer as an inequality solved for t.​

Answers

I believe the answer is 8t+7=65

Please help ASAP 15 points

Answers

<a = 51 degree

<b = 129 degree

<c = 51 degree

<d = 129 degree

<e = 51 degree

<f = 129 degree

<g = 51 degree

<h = 129 degree

Yulia observed a sound wave moving through a solid medium at four different temperatures, and she recorded observations about each one in the chart. A 2-column table with 4 rows. The first column labeled Wave has entries W, X, Y, Z. The second column labeled Temperature (degrees Celsius) has entries 15, 33, 12, 2. Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point? Wave X → Wave Y → Wave W → Wave Z Wave Z → Wave W → Wave Y → Wave X Wave X → Wave W → Wave Y → Wave Z Wave Z → Wave Y → Wave W → Wave X

Answers

Answer: C. Wave X, Wave W, Wave Y, Wave Z.

The option that ranks the time it will take one wavelength to pass a certain point from fastest to slowest is Wave X → Wave W → Wave Y → Wave Z.

Why is this the correct order?

The speed at which sound waves will pass through a medium depends on the temperature of that medium.

The higher the temperature of a medium, the faster sound waves will pass through. This is why Wave X will pass through the fastest at 33°C while Wave W will pass through the second fastest at 15°C and so on.

In conclusion, option C is correct.

Find out more on sound waves at https://brainly.com/question/15666150.

The owner of a food cart sells an average of 120 frozen treats per day during the summer which graph best shows this relationship between the number of days and the number of frozen treats sold

Answers

Answer:

here is one of the graphs search up dot t l 805 s the next is search up dot

Grapes are priced at $2.25 per pound. Which of the followi ill edit this comment later maybe search up the question u asked for a diffrent one

Step-by-step explanation:

The graph that best shows the relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. the equation representing the scenerio would be y = 120x

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

Equation : y = Kx also represent constant proportionality.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the owner of a food cart sells an average of 120 frozen treats per day during the summer.

The given situation represents a direct proportionality between the number of frozen treats sold  vs  the number of days. The graph that best shows this relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. Mathematically, the equation would be -

y = 120x

Therefore, the graph that best shows the relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. the equation representing the scenerio would be y = 120x

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ6

Find the Value of x in each proportion

A) 1 meter/3.25 feet = 15.2 meters/x feet

B) 1.6 kilometers/1 mile = x kilometers/25 miles

C) 0.926 meter/1 yard = 200 meters/x yards

D) 1 kilometers/0.6 mile = x kilometers/350 miles​

Answers

Answer:

A) 49.4

B) 40

C) 0.00539

D)583.33

Step-by-step explanation:

A)

1 meter/3.25 feet = 15.2 meters/x feet

x feet * 1 meter =  15.2 meters* 3.25 feet

x = 15.2 meters* 3.25 feet/1 feet* meter

x = 49.4

B) 1.6 kilometers/1 mile = x kilometers/25 miles

multiplying both sides by 25 miles

(1.6 kilometers/1 mile )* 25 miles =( x kilometers/25 miles)  * 25 miles

=> 40 kilometers = x kilometers

x = 40

C) 0.926 meter/1 yard = 200 meters/x yards

dividing both sides 200 meters

0.926 meter/(1 yard*200 meters) = 200 meters/(x yards *200 meters)

185.2 /1 yard = 1/ x yards

x yards = 1 yards/185.2

=> x = 0.00539

D) 1 kilometers/0.6 mile = x kilometers/350 miles​

multiplying both sides by 350 miles

(1 kilometers/0.6 mile ) 350 miles= (x kilometers/350 miles​) 350 miles

=> 583.33 kilometers = x kilometers

x = 583.33

Simplify i^82 pls...thanks :)
I'LL GIVE 30 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

To simplify i^82, divide 82 by. the answer is 20 with remainder 2

Answer:

-1

Step-by-step explanation:

I simplified the expression using the definition of an imaginary number i=√1

First I applied the exponent rule: [tex]a^{bc}=\left(a^b\right)^c[/tex]

[tex]i^{82} = \left(i^2\right)^{41}[/tex]

[tex]=\left(i^2\right)^{41}[/tex]

Then, I applied the maginary number rule: [tex]\:i^2=-1[/tex]

[tex]=\left(-1\right)^{41}[/tex]

Then I used the exponent rule again: [tex]\left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-1\right)^{41}=-1^{41}[/tex]

[tex]=-1^{41}[/tex]

Sooo, [tex]1^{41}=1,[/tex] which equals =-1.

✨HELP PLZ ✨ You are planning on going swimming at the pool with some friends during the summer. You can buy a summer pass for $33 or you can pay $3 to get a daily pass. How many days do you have to go for the totals to be the same?

Answers

Answer:

You would have 11 days for both passes because 3 times 11=33 and  33 divided 3= 11.

Answer: 11 days

Step-by-step explanation: You would only be able to go for 11 days because 11 multiplied by 3 equals 33.

ASAP WORK PLZ Given the function f(x)=x^2+2x+1, find: f(1/4)

Answers

Step-by-step explanation:

[tex]f(1 \div 4) = {(1 \div 4)}^{2} + 2(1 \div 4) + 1 \\ = {625 \times 10}^{ - 4} + 0.5 + 1 \\ = 1.5 + 0.0625 \\ = 1.5625[/tex]

Answer:

25/16

Step-by-step explanation:

f(1/4) means that we're plugging in 1/4 for x in the given function.

Our function is:

f(x) = x² + 2x + 1

Plug 1/4 in for x:

f(1/4) = (1/4)² + 2 * (1/4) + 1 = 1/16 + 2/4 + 1 = 1/16 + 8/16 + 16/16 = 25/16

Thus, the answer is 25/16.

~ an aesthetics lover

Place parentheses in the expression so that it equals the given value 12 = 2 X 23; value: 120

Answers

No the value answer is 48

I WILL GIVE YOU SO MANY POINTS IF YOU SOLVE THIS AND BRAINLIY PLEASEEEEE ASAPPPPPP USE THE LINK IN YOURE BROWSER AND SOLVE BY TYPING IT NEATLY YOU ARE SAVING A LIFE HERE THXXXX

Answers

Answer:

1.) Squares: 6 Circles: 8

2.) Hexagon and Heptagon and Octagon

3.) 18/100

4.) 16

5.) 56$

6.) Area = l × w

=  7 × 3

=  21 inches^2

Step-by-step explanation:


Can someone help me please

Answers

Answer:

tem

Step-by-step explanation:

3+1=10

Answer:

y = 4x - 5

Step-by-step explanation:

m (rise/run) = 4/1

b (y-intercept) = (0, -5)

3x+8=20. what steps can I take

Answers

Answer:

3x+8=20

Step-by-step explanation:

take 8 and minus 8 from both sides then divide 12 by 3x

Step-by-step explanation:

the eight will go another side 8 sign is + after going to another side it changes into minus

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