In the country of United States of Height, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.1 inches, and standard deviation of 3.8 inches.

What is the probability that the height of a randomly chosen child is between 45.1 and 53.5 inches? Do not round until you get your your final answer, and then round to 3 decimal places.

Answer=
(Round your answer to 3 decimal places

Answers

Answer 1

Answer:

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255


Related Questions

In feedback regarding an employee's report, which of the following is the MOST positive?

O Ms. Ibori has once again prepared a thorough and informative report.

O I have read Ms. Ibori's report, and I think parts of it are interesting.

O Ms. Ibori's report has not given me any reason to be concerned.

O Ms. Ibori has written a report with just a few minor errors in it.​

Answers

caca and other things sorry i could t help.

A map of the United States is displayed in the classroom with a scale of 0.25 cm = 1 mile. Use the ratio how long the drawing would be of a road that is 20 miles long. A. 0.05 cm B. 0.5 cm C. 5 cm D. 50 cm

Answers

Answer:

5cm

Explanation:

1 mile is 0.25 so 20 miles is 0.25 divide 1 times 20

Answer:

C

Explanation:

Find the 45th percentile of the data set. Give your answer to three decimal places.
Number of Hours My Classmates Spent Playing Video Games on Weekends
9.95
10
16.75
0
19.5
22.5
15
12.75
5.5
11
20.75
17.5
23
21.9
23.75
18
20
15
18.8
20.5
2.25
7.5
10
24
22.9

Answers

Answer:

jupeqifiamhdlsygkedypektwkgsfua

The 45th percentile of the data given above (P₄₅) is 16.225.

What is percentile in statistics?

Percentile refers to the mathematical or statistical term that is used to indicate the position of a data in relation to others from the sample given.

How did we arrive at the above figure?

Step 1 - First all data must be arranged in ascending order:

See the attached table for this.

Step 2 - We compute the position or rank of the 45th percentile.

The formula for percentile position is given as:

((n +1 ) *P)/100

= ((25+1) * 45)/100

= 11.70

Step 3 - Deploy the interpolation method because the position above is not an integer.

The numbers in positions 11 and 12 are where you'll find the 45 percent percentile. Based on the data arranged in ascending order, the values are 15 and 16.75.

The percentile we're seeking for is situated at the value of 11.7 - 11 = 0.7, which is the percentage of the space between 15 and 16.75.

Therefore,

(P₄₅) = 15 + 0.7 x (16.75 - 15)

(P₄₅) =16.225.

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What is the set of real solutions for |x| ^2 - |x| -2 = 0

Answers

The set of real solution for  |x| ^2 – |x| -2 = 0 is x=-2 or x=2.

What is the real solution?

There are two real solutions for x if the discriminant's value is positive, which means that the graph of the solution has two distinct x-intercepts. This is called as the real solution.

Computation:

|x| ^2 – |x| -2 = 0

This can also be written as (|x| +1)(|x| -2)

then,

(|x| +1)(|x| -2) = 0

|x| +1 = 0 or |x| -2 = 0 (Using Zero factor principle)

Now, no solution for |x| +1 = 0 as x∈R

For |x| +2 = 0,

x = 2 or x = -2

Therefore, the solution for   |x| ^2—|x| -2 = 0 is x=-2 or x=2.

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The first women’s rights convention in the United States was the __________.
A.
National American Woman Suffrage Convention
B.
National Woman’s Party Convention
C.
Seneca Falls Convention
D.
Declaration of Rights Convention

Answers

Answer:

C.  Seneca Falls Convention

Explanation:

Suppose that IQ scores have a bell-shaped distribution with a mean of 101 and a standard deviation of 12. Using the empirical rule, what percentage of IQ scores are between 77 and 125?

Answers

95.44% IQ scores are between 77 and 125

We're given,

Mean (a)=101

standard deviation (b)=12

To find : [tex]P[77 < x < 125][/tex]

Using Empirical Rule:

∴ [tex]P[77 < x < 125][/tex]  [tex]=[/tex] [tex]P[\frac{77-101}{12} < \frac{x-a}{b} < \frac{125-101}{12}]\\[/tex]

[tex]=P[-2 < z < 2]\\[/tex]

[tex]=P[Z < 2]-P[Z < -2]\\[/tex]

[tex]=0.9772-0.0228\\[/tex]

[tex]=0.9544[/tex] =95.44% (approx)

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please help me answer this

Answers

Answer:

um....What's the question?

Explanation:

1. Which of these is located in the kitchen?
A. Smoke alarm
B. Emergency Exit
C. Fire Extinguisher
D. Emergency Lighting

Answers

Answer:

smoke alarm

Explanation:

well since there's cooking equipment that could burn the house down .. the smoke alarm would warn the people in the house that something is burning so that they could take action to prevent themselves from suffocating from harmful gasses and at the same put out the fire as soon as possible..

What is correction of balance of payment disequilibrium.​

Answers

Answer:

(1) reducing home prices—deflation; (2) reducing the rate at which the currency exchanges for other currencies—depreciation/devaluation.

Explanation:

hope it helps you and give me a brainliest

if the passage is argument say it argument if the passage is non argument say it non argumnet 1, i belive that it must be the policy of united states to support free people who are resisting attempted subjugation by armed minorities or by out side pressure. ibelive that we must assist free people to work out their own destines in thier own way .ibelive that our help should be primarly through economic and financial aid which is essential to economic stabilty and orderly political proceess identified the passage are agumen or non argument

Answers

I believe that it must be the policy of united states -argument.

I believe that we must assist free people- Not argument.

I believe that our help should be primarily through economic and financial aid - argument

How do you know if the passage is an argument or not?

A passage is known to be an argument if the  Context is trying to convince you about an idea and if its conclusion has what it is trying to convince you of.

Note that one need to know the Reasons and why one need to believe them for it to be an argument.

Therefore, I believe that it must be the policy of united states -argument.

I believe that we must assist free people- Not argument.

I believe that our help should be primarily through economic and financial aid - argument

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0
The following table relates the weights and heights of a group of individuals
participating in an observational study. Hint: Fill out the table first.
Weight/Height Tall Medium Short Totals
18
28
20
51
12 25
Obese
Normal
Underweight
Totals
14
28
9
Find the probability that a randomly chosen individual from this group is Tall. Round
your answer to four decimal places.

Answers

The Probability that a random chosen individual is Tall is 0.2439

The table is attached with the answer

according to the table:

No of tall persons= 50

Total no of persons=205

To find : [tex]P_{Tall}[/tex]

[tex]P_{Tall}[/tex] = 50/205

[tex]P_{Tall}[/tex] = 0.2439

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Discuss the work of Max van Manen and Shaun Gallagher. In your discussion you should indicate

how their phenomenological views could influence your classroom practice.​

Answers

Discuss the work of Max van Manen and Shaun Gallagher. In your discussion you should indicate their phenomenological views could influence your classroom practice by Since its inception, phenomenological philosophy has exerted a power on empirical technological know-how.

What was Husserl's name to take care of the phenomena of their complete concreteness?

Already in 1912, Karl a brief article outlining how psychiatry should take advantage of phenomenology(Jaspers 1912), and withinside the following many years outstanding psychologists and psychiatrists such Straus, and all engaged with their exercise and research.

Whereas the hobby in phenomenology amongst psychologists may have waned really with the aid of using the give up of the fifties, it resurfaced withinside the area of cognitive technological know-how withinside the Nineteen Nineties after some of influential courses with the aid of using the Chilean neuroscientist Francisco Varela (Varela et al. 1991, Varela 1996, 1997). Varela argued that cognitive technological know-how could never be capable of offer a scientific principle of cognizance if it simply studied subpersonal neurophysiological strategies and he advised cognitive scientists to interact immediately in a cautious look at of the characteristics and systems of experience.

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A company has determined that 3 out of every
5265 bolts that it ordered is defective. What is
the probability that that a worker will pick a bolt
that is not defective? Enter your answer as a
reduced fraction using / for the fraction bar. Do
not use any spaces in your answer.
The probability that a worker will pick a bolt
that is not defective is

Answers

Probability helps us to know the chances of an event occurring. The probability that a worker will pick a bolt that is not defective is 5263/5265.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the company has determined that 3 out of every 5265 bolts that it ordered is defective. Therefore, the probability that a worker will pick a bolt that is not defective is,

Probability = (Number of not defective bolts)/(Total number of bolts)

= (5265-3)/5265

= 5263/5565

Hence, the probability that a worker will pick a bolt that is not defective is 5263/5265.

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What of the following is not a characteristic of a longitudinal study?

Select one:

a.
Data is collected only once from a participant.


b.
Data is collected from the same participants in different points in time.


c.
Data is collected from a large sample size at the same time.


d.
Data collection can span over several years.

Answers

Data is collected only once from a participant is not a characteristic of a longitudinal study. Thus, the correct option is A.

What is a Longitudinal study?

A Longitudinal study may be defined as a scientific approach to a specific research that involves recounted compliances of the duplicate variables over short or long periods of time.

A longitudinal study involves the collection of data from the same participants at different points in time, collection of data from a large sample size at the same time, and collection of data that can span over several years.

Therefore, the correct option for this question is A.

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6. Which of the following values is equivalent to
-3i²(4i-i²)-2i²(1+5i²
+6i), for i=√√-1?
(A) -11
(B) -5+24i
(C) 11+24i
(D) 11

Answers

The correct answer to this question is D you welcome

Three friends start a business and decide to split the profits equally. Susan invests $6,000, John invests $4,000, and Pria invests $7,000. If the profits are $12,000, how much of the profits would Pria receive if the profits were divided proportional to how much each friend invested?

Answers

Answer:

The proportion of Pria's investment is $7000 / 6000+4000+7000 = 7 / 17

So, Pria's share of the profit is $12000 x 1/17 = $4941

So your answer is $4941

Explanation:

If it takes 8 machines 8 minutes to make 8 plugs how long will it take 90 machines to make 180 plugs

Answers

the ans is 180 minutes.

Explanation:

if 8 machines took 8 minutes to make 8 plugs it means each machine took 1 minute to make 1 plug.So if there is 90 machines you need 90 × 2 = 180 minutes to make 180 plugs

If 8 machines make 8 plugs in 8 minutes the rate is 1 plug per minute per machine. In this case, you need double or 2 times the number so the answer is 90x 2 = 180 minutes.

have a great day!

The area to the right of z=-0.78 under normal curve is

Answers

Answer:

subtract the area from the table from 1

Explanation:

What promotional strategy can you use when your competitor has negotiated an exclusive sponsorship deal?
Aaron’s young sports beverage company cannot match the marketing budget of his competitor to sponsor a local golf tournament. His marketing team has decided to print some golf shirts with the company logo on the back and to grab front-row seats at the eighteenth hole. They are hoping that this tactic will at least get them some free TV exposure.

Answers

The promotional strategy that you use when your competitor has negotiated an exclusive sponsorship deal are:

Umbrella approach.Constellations

What is an exclusive sponsorship?

In entering any sponsorship partnership, category exclusivity is said to be a key consideration for sponsors as it helps tells that the sponsor is the only company in all of its product or service category that has a link with the property or event.

Therefore one can use the:

Umbrella approach.Constellations

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Consider a binomial experiment with n = 8 trials where the probability of success on a single trial is p = 0.30. (For each answer, enter a number. Round your answers to three decimal places.) (a) Find P(r = 0). Correct: Your answer is correct. (b) Find P(r ≥ 1) by using the complement rule.

Answers

Considering a binomial experiment with n = 8 trials where the probability of success on a single trial is p = 0.30.ythen the  by using the complement rule the P(r = 0)=0.942.

How do you write a binomial expression?

A binomial is a polynomial with the handiest terms. For example, x + 2 is a binomial, in which x and a pair of are separate terms. Also, the coefficient of x is 1, the exponent of x is 1 and a pair of is the regular here. Therefore, A binomial is a -time period algebraic expression that carries variable, coefficient, exponents and regular.

A P(R = 0), n = 8, p = 0.3R simBinomial(n = 8, p = 0.3)P(R = 0) = binomial(n,r) * p ^ r * (1 - p) ^ (n - r) = binomial(8,0) * (0.3) ^ 0 * (1 - 0.3) ^ (8 - 0) = 1 * (0.3) ^ 0 * (0.7) ^ 8 = 0.057648 approx0.057648 approx0.058P(R = 0) = 0.058Using excel feature BinomDist (0,8,0.3, false) or T1-83/84 feature binompdf (8,0.3,0), precise solution is 0.05764801P(R >= 1), n = 8, p = 0.3P(R >= 1) = 1 - P(R < 1 xss=removed xss=removed xss=removed xss=removed xss=removed xss=removed xss=removed>= 1) = 1 - P(R < 1>= 1) = 0.942Using excel feature 1-Binom Dist (0,8,0.3, true) or TI-83/84 feature 1-binom cdf (8, 0.3, 0) , precise solution is 0.94235199

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Please Help, I am stuck on this question.

Answers

Answer:

(15/17 = sin ∠ JLK)

(first option listed)

Explanation:

the "sin ∠ JLK" is what we can simply think of as the inside measurement of angle/corner L. (L is the letter in the middle of ∠ JLK , and if you imagine drawing a line from J to L to K, you would see that the only angle you formed both sides of is corner L)

so, we are looking for the sin of L.

(SOH CAH TOA)

we know that

sin = opposite / hypotenuse

However, we do not have the opposite value of this triangle yet.

-----

we can solve the length of the opposite side with the Pythagorean theorem:

 a² + b² = c²

 8² + b² = 17²

 64 + b² = 289

- 64           - 64

     b²  =   225

   √b² = √225

    b = 15

----

so, to solve for sin L,

(sin = opposite / hypotenuse)

we should divide the opposite (15) over the hypotenuse (17)

so, 15 / 17 = sin L

(15/17 = sin ∠ JLK)

The poet Robert frost appreciated the mant literary honors the best placement for sentence 12 within the third paragraph would be

Answers

The poet Robert frost appreciated the mant literary honors the best placement for sentence 12 within the third paragraph would work include “Fire and Ice,” “Mending Wall,” “Birches,” “Out Out,”.

What is Robert Frost acknowledged for in his poems?

Robert Frost becomes an American poet and winner of 4 Pulitzer Prizes. Famous works include “Fire and Ice,” “Mending Wall,” “Birches,” “Out Out,” “Nothing Gold Can Stay” and “Home Burial.” His 1916 poem, "The Road Not Taken," is frequently study at commencement ceremonies throughout the United States.

Robert Frost published his narrative poem The Death of the Hired Man in North of Boston in 1914. The poem is a conversation between farmer Warren and his wife Mary about their former farmhand Silas, an elderly man who has returned "home" to their farm to die. It is written in blank verse.

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10. Two primary sites for the
polio virus replication?

Answers

Answer:

lives in an infected person throat and intestines

Explanation:

it enters the body through the mouth and spreads to contact with the fees for and infected person droplet from Kashmir or cough of an infected person less

When did our current system of cooperative federalism begin?

Answers

From about 1937 to the present, the United States has operated under a Cooperative Federalism model.

what is the full form of LAN

Answers

࿐ Question -:

What is the full form of LAN

࿐ Explanation -:

LAN stand for Local Area Network.

➽ Additional Information -:

What is LAN ?

➲ A computer network that interconnects computers within a limited area.

What are the types of LAN ? Name them.

➲ There are 7 types of LAN.

Client-server LANP2P LANToken ring LANToken bus LANWired LANWireless LANCloud-managed LAN.
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