the amount of sleep that elementary school children get per night follows a normal distribution with a mean of 9.5 hours and a standard deviation of 0.55 hours. is it unusual for an elementary student to get at least 12 hours of sleep?

Answers

Answer 1

Answer:

Yes, that is unusual as the problem is given.

Step-by-step explanation:

If the mean is 9.5 and the standard deviation is 0.55, then anything within the normal curve of 10.05 on the high end and 8.45 on the low end is normal. 12 is more than several standard deviations or an outlier if this makes sense.

So, it is unusual as the problem is stated, but if it's a weekend, 12 hours is normal. LOL

Good luck!  

Answer 2

Based on the normal distribution parameters given, the probability of a student getting atleast 12 hours of sleep ls 0. Hence, it is abnormal.

Given the Parameters :

Mean = 9.5 Standard deviation = 0.55

Using the Zscore formula, the probability of getting a atleast 12 hours of sleep can be expressed thus :

Zscore = (Score - Mean) / standard deviation

For X ≥ 12 :

Z = (12 - 9.5) / 0.55 = 4.545

The probability using a normal distribution table :

P(Z ≥ 4.54) = 1 - P(Z ≤ 4.54)

P(Z ≤ 4.54) = 1 ( normal distribution table)

P(Z ≥ 4.54) = 1 - 1 = 0

Since, the probability is 0 ; hence, it is unlikely and therefore, abnormal.

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Related Questions

what is the rule for gallons ​

Answers

Answer:

Many aquarists swear by the standard rule of “one inch of fish per gallon” rule.

Step-by-step explanation:

Plzz helpp


Find the inverse function

Answers

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[tex]f(x) = {x}^{2} + 5[/tex]

[tex]y = {x}^{2} + 5[/tex]

[tex] {x}^{2} + 5 = y[/tex]

Subtract sides 5

[tex] {x}^{2} + 5 - 5 = y - 5[/tex]

[tex] {x}^{2} = y - 5[/tex]

[tex]x = ± \sqrt{y - 5} [/tex]

[tex]x≠ - \sqrt{y - 5} [/tex]

Because x is a positive number but -√y-5 is a negative number thus it's unacceptable.

So ;

[tex]x = \sqrt{y - 5} [/tex]

_________________________________

[tex] {f}^{ - 1}(x) = \sqrt{x - 5} [/tex]

Done...

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38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)

Answers

Answer:

B

Step-by-step explanation:

3 ( w + 9 )

3 × w + 3 × 9

3w + 27

Hope this helps

plz mark as brainliest!!!!!!!

I think it’s d, but if not then the other answer says b.

Also I don’t see an answer for c.

Please can anyone simplyfy that and can you tell the steps?​​

Answers

Step-by-step explanation:

Hope I did the way it was required! And helped you somehow!

In the equation, 3b+4=7, what is the 4

Answers

Answer:

constant

Step-by-step explanation:

3 is the coefficient, b is the variable, 4 and 7 are the constants.

ayúdame por favor puedes responder en inglés help me plz you can answer in enligsh to

Answers

Answer:

-6x-6

Step-by-step explanation:

Just simplify; solamente simplifica la expression y al final añade los resultados.  

If Kayla buys 50 apples for $20 what is the unit rate?

Answers

Answer:

2.50 dollars an apple.

Step-by-step explanation:

Divide 50/20

Answer:

2.5 per apple

Step-by-step explanation:

50 ÷ 20=2.5

Will give brainliest if right.

Answers

Answer:

x intercept is 1 and y intercept is 2

Step-by-step explanation:

Answer:

x-intercept = (0, 2) or 2

y-intercept = (1, 0) or 1

Step-by-step explanation:

The x-intercept is where the line passes the x-axis, and the y-intercept is where the line passes the y-axis.

The line passes through the y-axis at (0, 2)

The line passes through the x-axis at (1, 0)

I Hope That This Helps! :)

A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 15 ​minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 20 minutes.
b. How far is the flowerbed from the​ hive?

Answers

Answer:

Multiply 20

answer:[tex]20^{2}[/tex] feet

Step-by-step explanation:

The larger of two numbers is sixteen less than twice the smaller number. If the sum of the numbers is 44, find the two numbers. Write your answer as two numbers separated by a coma.

Answers

Answer:

20, 24

Step-by-step explanation:

smaller:   x

  larger:  2x - 16

x + 2x - 16 = 44

3x -16 = 44

3x = 60

x = 20

smaller:   x = 20

  larger:  2x - 16 = 2(20) - 16 = 24

what's the linear function that passes through (1,-6) and (-8,9)​

Answers

Answer:

x axis?

Step-by-step explanation:

Please work this out or I get a detention

Answers

Answer:

a = 11 , b = 2

Step-by-step explanation:

[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]

A= 11 and 6 is 2 this is the coree answer

Rhombus EFGH is rotated 90 degrees counterclockwise about vertex G. How many pairs of parallel sides does the rotated figure have?

Please explain your answer.... Thank you!

A) 0

B) 1

C)2

D) 4

Answers

Answer:

try your self more and more times you can easily solve

PLEASE HELP MEEEE!!!!!

Answers

Answer:

47.8

Step-by-step explanation:

Answer:

Okay so what you need to do is add up all of the scores. 8.3+7.4+9.1+7.4+7.4+8.2 and that would give you the answer of 47.8 and it is a rational number because it can be written as the ratio of two integers. plz mark me brainliest

Step-by-step explanation:

The chemical element einsteinium-253 naturally loses its mass over time. A sample of an einsteinium-253 had an initial mass of 540 g when we measured it. The relationship the elapsed time T in months and the mass m(t) in grams left in the sample is modeled by the following function m(t)=540•(1/8)^t/2.05 complete the following sentence about the rate of change in the mass of the sample

Answers

Answer: The sample loses 7/8 of its mass every 2.05 months.

Step-by-step explanation:

I got it right on khan academy

There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer

Answers

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

Which of these tables represent a nonlinear function?

Answers

The third one. As the x increases by 1, the increase in y is not constant

Answer:

(3)

Step-by-step explanation:

Analise the slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(1). (19-20)/(18-17) = - 1 ; (18-19)/(19-18) = - 1 ; (17-18)/(20-19) = - 1 ⇒ table represents a linear function.

(2). (-17+16)/(18-17) = - 1 ; (-18+17)/(19-18) = - 1 ⇒ table represents a linear function.

(3). (17-16)/(18-17) = 1 ; (19-17)/(19-18) = 2table represents a nonlinear function.

You run 7 1/2 miles as a part of an exercise routine. You run 1/2 of that distance on a hill. You run down a slope for the last 1/3 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form.

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

Amount of miles ran as part of an exercise routine =  7 1/2 miles = 15/2 miles

If you run 1/2 of that distance on a hill, the distance ran on the hill will be;

= 1/2 of 15/2

= 1/2 * 15/2

= 15/4 miles

If You run down a slope for the last 1/3 of the hill, the number of miles that you run down the hill will be;

1/3 of 15/4

= 1/3 * 15/4

= 15/12

= (3*5)/(3*4)

= 5/4

Write 5/4 as a mixed fraction

5/4 = 1 1/4 miles

Therefore you ran 1 1/4 miles down the slope

Audrey's bank account is currently at $75 a fee of 12.50 is deducted each month from Audreys she must maintain a balance greater than zero dollars how many months will Audrey's account stay above zero dollars

Answers

Answer:

5 months

Step-by-step explanation:

Current balance = $75

Monthly deductions = $12.50

75 - 12.5h

Where ,

h = number of months for deduction

she must maintain a balance greater than zero dollars

how many months will Audrey's account stay above zero dollars

0 > 75 - 12.5h

0 - 75 > -12.5h

-75 > - 12.5h

h < -75 / 12.5h

h < 6 months

h < 6 months means h must be less than 6 months which is 5 months

Audrey's account will stay above zero dollars for 5 months and will equal zero dollars in the 6th month

PLS HELP ASAP

brainliest

Answers

Answer:

POQ = 86 degrees

Step-by-step explanation:

NOQ = 123

NOP = 37

123 - 37 = 86

POQ = 86 degrees

a b c d ?? help me pleas and ty

Answers

Answer:

a

Step-by-step explanation:

Answer:

a is the answer hopw this helps

Help Quick!!! WILL GIVE BRAINLIEST TO 1ST CORRECT ANSWER!

Which points are on the graph of f(x)=(13)x ?
Select each correct answer.

A. (−2, 9)

B. (3, 27)

C. (−1, −13)

D. (0, 1)

Answers

Answer:

C

Step-by-step explanation:

Answer: f(x) = 13x

A. (−2, 9) (no)

B. (3, 27) (no)

C. (−1, −13) (yes)

D. (0, 1)(no)

Step-by-step explanation: So the answer is C.

Brainliest if im correct

f(x+h) = (x+h)² + 3(x+h)^3

How would I distribute this?

Answers

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

Order of Operations: BPEMDASDistributive PropertyExpand by FOIL (First Outside Inside Last)Combining like terms

Step-by-step explanation:

Step 1: Define function

f(x) = x² + 3x³

f(x + h) is x = x + h

Step 2: Simplify

Substitute:                              f(x + h) = (x + h)² + 3(x + h)³Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx

The school that Trevon goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 11 student tickets for a total of $206. The school took in $232 on the second day by selling 9 adult tickets and 13 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answers

Answer:

just take A (adult) and S (student) and put  9a + 11s = 206 and 9a + 13 s = 232 and go from their

Step-by-step explanation:

A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.

Answers

Answer:

2/5

Step-by-step explanation:

-2w - 5w simplify the expression and combine like terms

Answers

Answer:

Step-by-step explanation:

-w(2+5)

W is like term

It’s already simplified just add the like terms and the answer would be -7w

i don’t know how to do this && i’m hella stuck

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I think

25+ Points & Brainliest if your right!

If you toss three coins, what are the odds in favor of getting exactly two tails and one head?
A. )3:8
B. )3:5
C. )5:3
D. )8:3

Answers

Its A

ur welcome :v

bye have a great time :D

Answer:

A

Step-by-step explanation:

It's correct, trust me


PLEASEEEEEEEEEEEEEEEEEREEEEEEE HELLPPPP

Answers

you can find the slope by finding the rise and run of the graph, the rise is 7 and the run is 5. so the slope is 7/5 or 1.4

A store is marking down the price of a television 25 percent from the original price of $250. Which expression can be used to find the marked down price?
250 dollars minus (0.25) (250)
250 dollars + (0.25) (250)
250 dollars minus (25) (250)
250 dollars + (25) (250)

Answers

Answer:

A

Step-by-step explanation:

You're looking for the marked down price, which is less than the original 250, thus B and D is instantly knocked out. 25% as a decimal is expressed as .25, meaning that the only plausible answer in this scenario is A

Answer:

A. 250 dollars minus (0.25) (250)

Step-by-step explanation:

I took the unit test review and got it right

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