According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.40 cm. A two year old girl with Down's syndrome has a head circumference of 44.5 cm. Children with Down's syndrome typically have smaller heads, so this is not surprising. 1. Relative to the WHO data, what is this girls z-score? What does the z score tell us? 2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

Answers

Answer 1

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%


Related Questions

if John had 1/10 of a pizza, and wanted to between 8
friends , how much would each person get?
I’m not good at math and I need this so please help me

Answers

Answer:

If there are 10 slices and he wants to split between 8 friends and himself. Each friend would get a slice and there would be one remaining.

Step-by-step explanation:

Solve the system of equations and choose the correct answer from the list of options.
d + e = 15
-d + e = -5
Label the ordered pair as (d, e).
O (0, 0)
O (10,-5)
O (5, 10)
O (10,5)

Answers

9514 1404 393

Answer:

  d.  (10, 5)

Step-by-step explanation:

Add the two equations, and you get ...

  2e = 10

  e = 5

Solve the first one for d and you have ...

  d = 15 -e

  d = 15 -5 = 10

So, the solution is ...

  (d, e) = (10, 5) . . . . . matches the last choice

_____

Check

  d + e = 10 + 5 = 15

  -d + e = -10 +5 = -5

A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?(1 point)

no more than $150

less than $250

less than $150

no more than $250

Answers

Answer less than 250

Step-by-step explanation:

Answer: no more than 250

Step-by-step explanation:

Help!! Will give the almighty great crown

Answers

Answer:

G and D

Step-by-step explanation:

look closelyfind the coordinate linesgo see
a, b, c, d, e, all functions

I'M GETTING GRADED ON THIS, PLEASE HELP!!!!

Analyze the function below. Then explain why the function is classified as even, odd, or neither.

Answers

Answer:

I'm reallly sorry if this is wrong, but I believe it is neither

Step-by-step explanation:

Odd and even functions need to exhibit some sort of reflection symmetry across the x axis (i think--we are learning this rn) and the graph does not seem to show this so i believe it is neither... i could be wrong thooughh

can someone use the Pythagorean theorem to solve these?!?!

I tried it yesterday and i didn't solve it correctly ;c
just read it and try to solve plzzzzzz ;c

Answers

Answer:

127.3

Step-by-step explanation:

90^2+90^2=16200

[tex]\sqrt{16200}[/tex]=127.2792206

127.3 to the nearest tenth

A tire shop promotes its business using a large model of a tire on its roof. The
model tire uses a scale in which 2 feet represents 3 inches. The actual tire used
to create the model tire has a diameter of 33 inches.
What is the diameter of the model tire on the shop's roof

Help plz!!! I need the work shown

Answers

Answer:

Ok, so this tire is 2 feet which is represented by 3 inches.

So, since the tire has a diameter of 33 inches, we multiply 33 by 3

33 times 3 is 99.

The diameter of the motel tire on the shop's roof is 99 inches.

Step-by-step explanation:

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
Write an equation to determine the distance in miles (x) between the airport and Ann's home
Find the distance between the airport and Ann's home.

Answers

Answer:

$2.10x + 5= $49.10

x=21

Step-by-step explanation:

the x is used for a variable that changes and in this case the mph changes which lead x being the amount of miles that they had drove which at the end ends up multi. with the $2.10 . as for the 5 it was an initial as in it doesn't change.

for the second part

you subtract 5 from each side so you have the total of 2.10x= 44.10 then u divide 2.10 from each side and that will give you x = 21

What are the solutions to the following equation? x^2+8x+15=0

Answers

Answer: It can be either one.

x=−3

or

x=−5

The price that a company charged for a computer accessory is given by the equation 100-10x2 where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories
produced yields approximately the same profit?
O 1.45 million
O 3.45 million
O 40 million
O 48 million

Answers

Answer: 1.45 million is your answer

Step-by-step explanation:

edge

The number of accessories produced that yields approximately the same profit as 2 million is 3.45 million. The correct option is B.

What is Revenue?

Revenue is defined as the money generated by normal business operations and is calculated by multiplying the average sales price by the number of items sold.

The profit (P) made by the company can be calculated as follows:

P = (Revenue) - (Costs)

Where Revenue = (Price per accessory) × (Number of accessories produced), and Costs = (Cost per accessory) × (Number of accessories produced).

So, using the given information, we can write:

P = (100-10x^2) x - (10x)

where x is the number of accessories produced in millions.

We know that the company makes a profit of 100 million dollars when it produces 2 million accessories, so we can set P = 100 and x = 2, and solve for the constant of proportionality k:

100 = (100-10(2)^2)(2) - (10)(2) + k

k = 200

Now, we can set P ≈ 100 again and solve for x, using k = 200:

100 = (100-10x^2)x - (10x) + 200

0 = -10x^3 + 10x^2 + 10x + 100

0 = -x^3 + x^2 + x + 10

We can solve this equation using synthetic division or by using a graphing calculator, and we find that there is a root between x = 3 and x = 4.

Therefore, the number of accessories produced that yields approximately the same profit as 2 million is 3.45 million, which is option B.

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Which values represent solutions to the equation?

Tangent (StartFraction 3 pi Over 4 EndFraction minus 2 x) = negative where x Is an element of [0, Pi]

Answers

answer: BStep by step: On edginuty

The solution set for the given expression is {0,  π/2,  π}.

Which values of x are solutions for the given expression?

Here we have the expression:

[tex]tan(\frac{3\pi}{4} -2x) = -1[/tex]

First, we know that:

[tex]tan(\frac{3\pi}{4}) = -1[/tex]

So, if x = 0, the equation is true, which means that x = 0 is a solution.

And the tangent function as a period of pi.

This means that:

tan(x) = tan(x -  π) = tan(x - 2*π) etc.

Then if x = π/2 and x = π also are solutions, so we conclude that the solution set is:

{0,  π/2,  π}

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(3x²y)2
How do you simplify?

Answers

Answer:

answer 6x^2 × 2y

Step-by-step explanation:

multiply 2 with the parentheses

Answer:

the answer is 6x²y.......

Updated/Repost.
Given: 3x + 2y + 7 = 5x +3y +10
Prove: m = -2
(Hint: slope)

Answers

Answer:

3x + 2y = -2

Reason: This is because 3x + 2y = 10 for the variable y. 3x-10= 2y.

Since

_____________________________________________________

3x + 7 = -2

Reason: This is because 3x+10= 2y

_____________________________________________________

please help
c. (3,6)
d. (9,6)

Answers

Answer:

I believe that the answer is A. (-3,0)

Step-by-step explanation:

I reflected it over y=3 and that is what I got as an answer. Let me know if I am wrong.

Write an equation of the perpendicular bisector of the segment with endpoints (4,0) and (2,-4) Write your equation in slope intercept form

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Answer:

nsnsjsjsnsnznnznzznznz

what is not a characteristic of point?

Answers

Answer:

A flat surface is not a characteristic point if I'm wrong sorry you should list the following.

Step-by-step explanation:

El producto de 5 por un numero al cuadrado?

Answers

Answer:

25

Step-by-step explanation:

5*2 =25

A number line graph is shown: A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 4. The entire portion of the number line to the right of negative 4 is shaded Based on the graph, which inequality is correct for a number that is to the right of −4? −2 −4 1 −4

Answers

Answer:

i think its A

Step-by-step explanation:

(^///^)(^///^)(^///^)

Answer: The answer is A

Step-by-step explanation: BC i used sum weird website where i have to show my dog i think its buzz feed and they said my age and still got it wrong for the answer lol ion know ur welcome woo



Find the difference. You may find using a number line to be helpful. Enter your answer as a simplified
mixed number.



Answers

Answer:

-2/9 - (-2) = -2 2/9 :)

Step-by-step explanation:

Write multiplication expression to represent the change in temperature after the plane ascends 10,000 feet .... Above it says there is a 1.3°F drop in temperature for every thousand feet that an airplane climbs into the sky the temperature on the ground is -2.8°F... part b says what will the temperature b when the plane reach's an altitude of 10,000 feet

Answers

Answer:

1.3°F * 10 = 13°F

10.2°F

Step-by-step explanation:

Given that:

Temperature on the ground = - 2.8°F

Change in temperature per 1000 ft rise = 1.3°F

Change in temperature after the plane ascends 10000 ft

Change in temperature per 1000ft rise * (10000/1000)

1.3°F * 10 = 13°F

B.) Temperature at 10,000 feets

Temperature on ground + change in temperature at 10,000ft

-2.8°F + 13°F

= 10.2°F

Read this word problem.
A guppy was swimming 8 feet below the surface of the river. It swam down 6 more feet
to escape a large, hungry fish. What is the position of the guppy now relative to the
surface?
To solve the problem, Jenna subtracted 8 - 6 and came up with an answer of 2 feet. Is Jenna
correct? Why or why not?

Answers

Answer:No because once the guppy swam down 8 feet below the surface of the river the 8 is now negative since the surface of the ocean is 0 and 0-8=-8 and then he swam down 6 feet more so we have to subtract-8-6= -14 feet so the position of the guppy is now -14 feet below sea level.

Step-by-step explanation:

I NEED HELP DUE IN 2min pleaseeee

Answers

Am I to late??????????
I not sure maybe we are

The data in this table represents a linear function.

What is the slope of this line?


27

13

3

72




x y
2 7
5 16
7 22
9 28

Answers

the answer is 3x :) which is the 3rd option

The equation of a line is given by:

y = mx + c

Where m is the slope.

Slope = (d - b) / (c - a)

Where (a, b) and (c, d) are the two points.

The slope of the linear function is 3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example: y = -3x - 4

Slope = -3 and y-intercept is -4.

We have,

A table that represents a linear function.

x  y

2  7

5  16

7  22

9  28

We can have points such as:

(x, y) = (2, 7), (5, 16), (7, 22), and (9, 28)

We can select any two points and find the slope.

(2, 7) = (a, b)

(5, 16) = (c, d)

Slope:

= (d - b) / (c - a)

= 16 - 7 / 5 - 2

= 9 / 3

= 3

Slope = 3

Thus,

The slope of the linear function is 3.

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y−3=−12(x+4) i need help

Answers

Answer:

if it's a slope x=12 if it's for find the value of x its y over 12 -17 over 4

50 points!!! YO can someone solve this I don't get it ∴∞∧∞∴

xy=4

2x-y+2=0

Answers

Is this x+y=4 or x-y=4 or both variables are 4? If u can clarify mayb i can answer

Write an equation of the line that passes through (3,8) and is perpendicular to the line y=5x-4

Answers

For lines perpendicular to a line you find the negative reciprocal of the gradient of that line in this case it is -0.2 or -1/5
Then you substitute the new gradient and the point into the equation of a line
8=-0.2(3) +c
8=-0.6+c
8.6=c
After wards you substitute only the gradient and the y intercept in the line eq’n
Y=-0.2x+8.6

Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.
The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes).
Time (minutes) Temperature (degrees Celsius)
444 252525
666 404040
888 555555
How long did it take the pizza to reach 100100100 degrees Celsius?

Answers

Answer:

The pizza was heated at a constant rate. The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes). Time(Minutes) Temperature( degree .

Answer:

14 did it on khan

Step-by-step explanation:

proof:

on a math test the students are given a right triangle one ofbthe acute angles has a measure of 41 one student says that the measure if the other acute angle is 139 what is the measure of the other angle what error might the student have made

Answers

The error is that the student measured the wrong side. Acute angles are less than 90 degrees. So it isn’t possible for the measure to be over 90. The correct measure is 49

The correct measure of other angle should be less than 49°.

It is given that a student measures that one acute angle has a measure of 41° and other acute angle has measure of 139°.

We have to find out that while finding measure of other angle what error might student have made.

What do you mean by an acute angle ?

An acute angle is an angle which measures less than 90 degrees. i.e., ∠45°.

As per the question ;

1st angle = 41 °

we know that sum of acute angles of a triangle should be less than 90°.

Let's assume other angle be x.

So ;

x + 41° < 90°

x < 90° - 41°

x < 49°

So , the student had measured ∠2 wrongly because sum of acute angles of a triangle should be less than 90°.

Thus , the correct measure of other angle should be less than 49°.

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By what number should 81 be divided to get a perfect cube​

Answers

Answer:

9, I think, I hope this is right

Answer:

3

Step-by-step explanation:

This is because 81/3 is 27 which is a perfect cube

Hope this helps you.

Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for the correct calculation of velocity?

A)the starting point
B)the direction
C)the end point
D)the time per meter

Answers

Answer: the direction

Answer:

B). the direction

Step-by-step explanation:

Edgen 2021

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