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!
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 = 0.55Using 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 = 4.545The 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.
Learn more :https://brainly.com/question/8165716
what is the rule for gallons
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
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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)
Answer:
B
Step-by-step explanation:
3 ( w + 9 )
3 × w + 3 × 9
3w + 27
Hope this helps
plz mark as brainliest!!!!!!!
Please can anyone simplyfy that and can you tell the steps?
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
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
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?
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.
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?
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.
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)
Answer:
x axis?
Step-by-step explanation:
Please work this out or I get a detention
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]
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
Answer:
try your self more and more times you can easily solve
PLEASE HELP MEEEE!!!!!
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
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
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?
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) = 2 ⇒ table 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.
Answer:
1 1/4 milesStep-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
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
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
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)
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?
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 termsStep-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+2hxThe 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.
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.
Answer:
2/5
Step-by-step explanation:
-2w - 5w simplify the expression and combine like terms
Answer:
Step-by-step explanation:
-w(2+5)
W is like term
i don’t know how to do this && i’m hella stuck
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
Its A
ur welcome :v
bye have a great time :D
Answer:
A
Step-by-step explanation:
It's correct, trust me
PLEASEEEEEEEEEEEEEEEEEREEEEEEE HELLPPPP
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)
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