In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.8 inches, and standard deviation of 7.5 inches. A) What is the probability that a randomly chosen child has a height of less than 62.95 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 44.4 inches? Answer= (Round your answer to 3 decimal places.) Calculator Submit Question Question 10

Answers

Answer 1

Answer:

A) 0.889

B) 0.895

Step-by-step explanation:

Mean of 53.8 inches, and Standard deviation of 7.5 inches.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

A) What is the probability that a randomly chosen child has a height of less than 62.95 inches?

For x < 62.95

z = 62.95 - 53.8/7.5

z = 1.22

Probabilityvalue from Z-Table:

P(x<62.95) = 0.88877

Approximately = 0.889

B) What is the probability that a randomly chosen child has a height of more than 44.4 inches?

For x > 44.4 inches

z = 44.4 - 53.8/7.5

z = -1.25333

Probability value from Z-Table:

P(x<44.4) = 0.10504

P(x>44.4) = 1 - P(x<44.4) = 0.89496

Approximately = 0.895


Related Questions

a university department administers a survey regardring student satisfaction based on the survey results the department provides a confidence interval estimate of 60% to 80% for student satisfaction if the department wishes to construct a confidence interval the more accurate represents the proportion of a student satisfaction how should the design be altered

Answers

Answer:

Change the confidence interval.

Step-by-step explanation:

The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.

A 90 or 95  or 99 percent confidence interval will show  a greater range of the data that lies within or without the given criteria.

95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies  or does not lie within the specific range.

This gives better results as compared to 60- 80 % confidence intervals.

If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.

What is the domain and range please?

Answers

Answer:

Both infinate.

Step-by-step explanation:

The shadow of a tower is equal to its height at 10.45 a.m. The sun’s altitude is​

Answers

Incomplete question.  

Write the numbers from least to greatest
8.062, 8.26, 8.026, 8.6

Answers

Answer:

8.026, 8.062, 8.26, 8.6

Step-by-step explanation:

Answer:

Hi! I'm happy to help!

Step-by-step explanation:

8.026, 8.062, 8.26, 8.6

Multiplying a measure
by a scale to produce a
reduced or enlarged
measure

Answers

Answer:

we conclude that:

If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruent

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

(x, y) → (2x, 2y)

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

(x, y) → (½x, ½y )

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruent

if a cylinder has a volume of 99 cubic centimeters , what is the volume of a cone with the same dimensions

Answers

Answer:

900

Step-by-step explanation:

What are the domain and range of each relation?

Drag the answer into the box to match each relation.

Answers

Answer:

Step-by-step explanation: Domain is the x coordinates and range is the y coordinates

can people answer this pls

Answers

Answer:

A

Step-by-step explanation:

my

Answer:

A

Step-by-step explanation:

dhhdhdhdjejdjdjdjdjjd

How can you write the expression 7(b-2) in words?
OA
two subtracted from the quotient of seven divided by b
ОВ,
seven added to difference of b minus two
OC. the quotient of seven divided by b minus two
OD
two subtracted from seven times b
O E, the product of seven and the difference of b minus two

Answers

Answer:

E (The product of seven and the difference of b minus two)

Step-by-step explanation:

Anna makes unique jewelry. The owner of the "Unique" store agreed with Anna to deliver 20 bracelets a week. At the moment, Anna has 80 bracelets made, and can make 17 bracelets a week. For how many consecutive weeks will Anna be able to supply her bracelets to the "Unique" store?

Answers

Answer:

7 weeks

Step-by-step explanation:

80 ÷ 20 = 4

She over those four week she makes 17 per week. So,

17 × 4 = 68

Next, divide the product by 20:

68 ÷ 20 = 3.4

But 3.4 is only 3 full weeks so then its 3.

Lastly, add the 3 weeks we just solved for the the 4 weeks from before and you get 7 weeks.

So, Anna will be able to supply the "Unique" store for 7 weeks.

I HOPE I HELPED!!!!!!!!!! :))))))

From Mickey Grace to Everyone:
Grace is 4 years older than Elena. If Grace is 9
years old, how old is Elena? Grace is

Answers

Answer:5

Step-by-step explanation:

Michael exchange US $1000 for the CROATIAN currency which is called the KUNA the exchange rate was 5.81 Kuna to $1 how many CROATIAN KUNA did Michael get

Answers

USD $1 = 5.81 Kuna
Therefore,
USD $1000 = 5.81 * 1000 Kuna
USD $1000 = 5810 Kuna

What is the unit rate? 400 m travelled in 50 seconds

Answers

Answer:

8 meters per second or 8/1

Step-by-step explanation:

Divide 400 meters by 50

8

So it is 8 meters per second

Hope this helps :)

Please consider Brainliest :)

Answer:

8 meters per 1 second

Step-by-step explanation:

first, do 400m/50sec

then, do 400m/1 divided by 50sec/1

next, do keep change flip so, 400/1 * 1/50=400/50

last simplify so, 400 divided by 50 and 50 divided by 50 equals 8/1

hope this helps  

The temperature increases from 18° F to 27° F.
What is the percent increase of the temperature?
A
3%
B
9%
С
33%
D
50%

Answers

Either 50% or 9%
Because it can be both

The percent increase in the temperature is 50%.

To understand more, check below explanation.

Percentage increase:

The temperature increases from 18° F to 27° F.

       Increase in temperature = 27 - 18 = 9

The percent increase in the temperature is computed as,

                                  [tex]=\frac{27-18}{18}*100\\ \\=\frac{9}{18}*100\\ \\=\frac{1}{2}*100=50\%[/tex]

Learn more about the percentage here:

https://brainly.com/question/24304697

Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a

Answers

Answer:

[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]

[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Question : Subtract the following using horizontal method :

i. 2x from -5x-5a from -18a

Step - by - step Explanation :

2x from -5x

In horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.

[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]

[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]

Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.

[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]

Likewise , Let's do next too:

-5a from 18 a

[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]

Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]

And we're done!

Hope I helped!

Have a wonderful time ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

i)-7x ii)23a

Step-by-step explanation:

i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a

Please help me



Excellent help needed

Answers

Answer:

All of the following have the same solution except b + 2 = 8

Answer:

the answer is D.

Step-by-step explanation:

A.   [tex]50 = 5 m = 10=m[/tex]

B.    [tex]x-6=4 = x=10[/tex]

C.   [tex]w/5=2 = w=15[/tex]

D. [tex]b+2=8 = b=6[/tex]

hope this helps and feel free to give brainiest

Please help ASAP I WILL MARK AS BRAIN-LIST IF RIGHT

Answers

Answer:

x=29

Step-by-step explanation:

i know this is answer please try and make me brainlist pls.

2. Convert 25.2625° from decimal degrees to degrees-minutes-seconds.

Answers

Answer:15

Step-by-step explanation:

Write an equation for the line parallel to the given line that contains C.
y =

Answers

Answer:

y=3/7x+46/7

Step-by-step explanation:

Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.

7-3/7=C

C=46/7

At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?

Answers

Answer:

0.2hrs/dollars

Step-by-step explanation:

Given parameters:

Cost of bike = $31

Time duration  = 6hrs

Unknown:

Hours customers get per dollar = ?

Solution:

The number of hours customer gets per dollar is;

      Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]

    Number of hrs/dollar  = [tex]\frac{6hrs}{31}[/tex]  

    Number of hrs/dollar = 0.2hrs/dollars

whats 11/12+ 3 1/2 ASAP PLEASE

Answers

Answer:

4 5/12 or 4.4

Step-by-step explanation:

Answer:

4 5/12 or 53/12 or 4.4

Step-by-step explanation:

hope this helps : )

5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??

Answers

Answer: 12.5

Step-by-step explanation:

25th Percentile: 5.5

50th Percentile: 13

75th Percentile: 18

Interquartile Range: 12.5


NO ONE WILL HELP ME :(((((((

Answers

Answer:

-1 to -3 = -3

Step-by-step explanation:

best of luck

If pqrs is a parallelogram, find the measure of 113
5.67
18
67

Answers

Answer:

∠PSR = 113°

Step-by-step explanation:

Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.

7x-13+4x-5=180

        11x-18=180

            11x=198

               x=18

Now plug x back into the angle that opposite from the one you are looking for (they are equal)

7(18)-13 = ∠PSR

 126-13 = ∠PSR

       113 = ∠PSR

What is the length of MN?

Answers

Answer:

MN = 6

This is because the shapes are dialations of each other

So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6

There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer​

Answers

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.

Answer:

Total Mangoes = 50

Rotten =  46

Step-by-step explanation:

50 divided by 10 = 5.

50 minus 4 is 46.

F(x) = x^3 + x^2-5x-6 at x=2

Answers

Answer:

3^2+2^2-5×2-6

9+4-10-6

-3

Step-by-step explanation:

-3 is the answer

Answer:

It could be solved by filling in "x" as 2.

Step-by-step explanation:

F(x) = 2^3 + x^2 - 5(2) - 6

f(x) = 8 + 4 -10 - 6

f(x) = 12 -16

= -4

Hope this is easy enough to understand.

A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?

Answers

Answer:

d

Step-by-step explanation:

someone help me plz i need help

Answers

Answer:

3.5x-0.2n

Step-by-step explanation:

just simplify like terms

a brainliest would be greatly appreciated  : ) : )

solve for x plsssss help me out

Answers

Answer:

-11

Step-by-step explanation:

Triangles have 180 degrees

using the vertical angle theory we know that 80 and 60 are angles

We can subtract them from 180 to get 40 left

this minus 51 is -11

x is -11

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