Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Please explain and no answering just for points.
Answers
C
have a nice day!!!!!!!!!!!!!!!!!!!!!!!
Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.
What is a normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.
Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.
As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.
In a normal distribution 68% of the values falls within 1 standard deviation
and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.
Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.
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Related Questions
The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it?
Answers
Answer:
C. $25
Step-by-step explanation:
the answer would be 25 dollars
Answer: c $25 got it on edge
What is the end behavior of the graph of f(x) = -0.25x2 – 2x + 1?
Answers
End behavior means what are the y-values doing as the x-values both increase and decrease without bound.
This is a parabola (degree 2) with a negative leading coefficient (−0.25). Therefore both ends of the graph will be going towards negative infinity.
As x increases, f(x) decreases.
As x decreases, f(x) decreases.
Since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
f(x) = -0.25x² – 2x + 1
A polynomial function's end behavior defines how the graph acts as x gets closer. The leading term of the function—that is, the term with the highest n-value for a × n, where n is a positive integer and an is any nonzero number—allows us to infer the function's final behavior.
The highest degree of the given function is 2. When the function is plotted on the graph we get the graph shows downward behavior when x gets closer.
Thus, since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
Learn more about the function here:
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find the length of side VW
Answers
Answer:
46 units.
Step-by-step explanation:
To find the perimeter, you need to add up all the sides. Knowing this, we can set up an equation to solve for y.
2(5y + 1) + 2(4y + 3) = 170
10y + 2 + 8y + 6 = 170
18y + 8 = 170
18y = 162
y = 9
Now that we know y = 9, we can solve for vw.
vw = 5(9) + 1
vw = 45 + 1
vw = 46
Therefore, line vw is 46 units.
Answer: VW=11
4y+3=5y+1
2=y
5(2)+1
11
What is the best way to describe the solution of this system of equations?
2x - 5y = 8
5y = -2x + 8
There are infinitely many solutions
There is one solution (4,0).
There are no solutions of the system.
There is one solution (0,4).
Answers
Answer:
There is one solution (4,0).
Answer:
x = 4 and y = 0
:-))
Step-by-step explanation:
2x - 5y = 8
x = 8 + 5y .........(1)
2
5y = -2x + 8
x = 8 - 5y ........(2)
2
get from 1 and 2
8 + 5y = 8- 5y
2 2
or, 10y = 0
or, y = 0
put the value of y in 1
x = 8 + 0
2
or, x = 4
Troys truck has a 30 gallon gas tank and gets and average of 21 miles per gallon
Answers
Answer:
The answer is 630 miles using a 30 gallons tank.
Step-by-step explanation:
Well this question is incomplete, but if we are trying to find how many miles can 30 gallons give then the answer would be 630.
Why? Well since 21 miles = 1 gallon then 630 miles = 30 gallons.
Because 21 multiplied by 30 = 630.
P.S Can I have brainliest if I am correct?
Can you please help me. Thank You
Answers
9514 1404 393
Answer:
f(-1) = -1
Step-by-step explanation:
x = -1 falls in the middle segment, where -2 < x < 2. So, the applicable function definition is ...
f(x) = -2x -3
f(-1) = -2(-1) -3 = 2 -3
f(-1) = -1
I GIVEEE BRAINLLILST
I NEED HWLP
Answers
Answer:
3
Step-by-step explanation:
the smaller one has a height of 5
the larger one has aheight of 15
15/5 is 3
Which statement describes data that is normally distributed?
A.
The majority of the data is to the left of the mean.
B.
The majority of the data is to the right of the mean.
C.
The majority of the data is in the center with the mean.
D.
The majority of the data is split to the right and left of the mean.
Please explain and no answering just for points.
Answers
Answer: D.) The majority of the data is split to the right and left of the mean
I attached the files
Answers
Answer:
What do u need the help for?
Step-by-step explanation:
Which function has an inverse that is also a function?
y = 3x - 5
y = 3r? - 5x + 3
y = 32
Answers
HELP ME ASAP PLEASE TIMED
Answers
Answer:
All real values of x such that x != 5
Step-by-step explanation:
x cannot equal 5 because it will cause a division by 0 error
Find the slope of the line.
Answers
Answer:
79
Step-by-step explanation:
it is 556
who want's to do my homework? :D Also this might get deleted cause brainly is out to get me D:
Simplify the following rational expression. Use absolute value symbols when needed.
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
1. [tex]\sqrt[3]{\frac{8}{216} }[/tex]
2. [tex]\sqrt[3]{\frac{1}{27} }[/tex]
3. [tex](\frac{1}{27})^{\frac{1}{3} }[/tex]
3. Since [tex](\frac{1}{3}^{3})[/tex] is [tex]\frac{1}{27}[/tex], the answer should be [tex]\frac{1}{3}[/tex].
Which function has a greater rate of change?
Answers
will be the right answer
g Which statement is correct? Group of answer choices A sample size of 1 is never acceptable. Judgment sampling is preferred to systematic sampling. Cluster sampling is useful when strata characteristics are unknown. Sampling without replacement introduces bias in our estimates of parameters.
Answers
Answer:
A sample size of 1 is never acceptable
Explanation:
A sample size of 1 is simply not statistically significant enough as to reach close to accurate conclusions based on sample data. Statistical tests using just one data point may not be enough to test data variability. Axrule of thumb or best practice is to have at least 10% sample size from the population. It is advised to have at least a sample size of 100 sayvpopulation is 1000 to be able to reach more valid conclusions from sample data.
whats the trans ___ and reflection ___
Answers
Given that,
A graph.
To find,
The trans and the reflection.
Solution,
When we slide a figure in any direction, it is called translation or trans.
In this case, option 1 is trans such that ABCD and A'B'C'D' are in same line.
When we flip a figure over a line, it is called reflection.
In this case, option Option 3 is reflection such that ABCD and A'B'C'D' are in opposite direction.
Elyse's cell phone plan allowes up to 8 GB of data each month. She received an alert that she used 95% of her Data. How much data does she have left
Answers
Answer:
She has 400 megabytes left
Step-by-step explanation:
please i need help with 4th grade math please write the answer and shiw the solution hownto solve the problem step by step.thank you much appreciated.
Aaron has between 100 and 110 baseball cards in his collection.If he counts his cards 2 at a time,he has 1 card left over.If he counts his cards 5 at a time,he has 2 cards left over . How many cards are in Aaron's collection ?
Answers
Answer:
110
Step-by-step explanation:
Answer:
107 cards
Step-by-step explanation:
So if you skip count by 5 up to one hundred, and then add 2, it's still and even number which the skip counting by 2 says won't work. So then skip count by 5 up to 105 and add 2 to get 107. Hope that makes sense! :)
Help please due soon
Answers
A couple bought some stock for RM30 per share that pays an annual dividend of
RM0.90 per share. After 1 year, the price of the stock was RM33. Find the simple
interest rate on the growth of their investment.
Answers
Answer:
The answer is "13%".
Step-by-step explanation:
[tex]P_0 = 30\\\\D_1 = 0.90\\\\P_1 = 33\\\\[/tex]
[tex]Increase = 33 - 30 + 0.90\\\\[/tex]
[tex]= 3+0.90\\\\=3.90[/tex]
[tex]\text{Calculating increasing }\% :[/tex]
[tex]= \frac{3.90}{30} \times 100 \\\\= \frac{390}{30} \\\\= \frac{39}{3} \\\\= 13\%[/tex]
[tex]( {2}^{ - 1} \div {5}^{ - 1} {)}^{2} \times ( \frac{ - 5}{8} {)}^{ - 1} [/tex]
plzz help
Answers
Answer:
-10Step-by-step explanation:
hope it helps
.......
A square has sides lengths of 7 in.find the length of the squares diagonal. if necessary round to the nearest tenth
Answers
Answer:
9.9 in
Step-by-step explanation:
x² = 7² + 7² = 98
x = 9.9
uhhh-
The straight line L, has equation y = 3X - 4.
The straight line L2, is perpendicular to L, and passes through the point (9, 5). Find an equation of line L2. Show your working out.
Answers
Step-by-step explanation:
y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = 3x - 4 as line L.
Slope of line L = 3
=> Slope of line L2 = -1/3
We have y = -1/3 x + c as our line L2 equation.
When x = 9, y = 5.
=> (5) = -1/3 * (9) + c
=> 5 = c - 3, c = 8
Hence the answer is y = -1/3 x + 8.
The equation of required line [tex]l_2[/tex] is .
Y = mX+c
[tex]Y = \frac{-1}{3} x + 2[/tex]
Given, The equation of straight line L.
Y=3X-4
compareing with the standard equation of line
Y=mX+c
slope of the equation of line L is [tex]m_1[/tex]= 3.
The product of slopes of two perpendicular lines is -1.
[tex]\rm m_1. m_2 = -1[/tex]
[tex]3.m_2 = -1\\m_2 = \frac{-1}{3}[/tex]
The slope of perpendicular line is and it passes through the point (9,5). So the equation of the line is
[tex]y = m_2x+c[/tex]
[tex]5 = -\frac{1}{3} . 9 + c[/tex]
5 = -3 + c
5+3 = c
c = 8
Therefore, the equation of required line [tex]l_2[/tex] is .
Y = mX+c
Y = [tex]\frac{-1}{3} X +8[/tex]
For the more details follow the link given below.
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Which is equivalent to 8(3x + 2y) by the distributive property
A) 8x + 2y
B) 8x+8y
C) 24x+8y
D) 24x + 16y
Answers
8. The value of 6 quarters is what percent of the value of a dollar? Do not units (%) in your answer.
Answers
Answer:
150%
Step-by-step explanation:
4 quarters = %1.00 = 100% and 2 quarters = $0.50 = 0.50%
100% + 50% = 150% or $1.50
30 POINTS!!!!!!!!!!!!!!!!!!!! HELP PLZ
A scatter plot is shown below:
A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
Answers
Answer:
kk
Step-by-step explanation:
(0, 13) and (10,11)
Is the answer 4? I’m not sure if it’s right
Answers
Answer:
yes im pretty sure correct me if im wrong. Good luck!!!!!
Step-by-step explanation:
Find the equation of the line with m = 2 and goes through (-4,5).PLEASE HELP
Answers
Why:
You want to find the equation for a line that passes through the point (-4,5) and has a slope of .
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was . So you can right away fill in the equation for a line somewhat to read:
y=x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=0 × -4+b, or solving for b: b=5-(0)(-4). b=5.
What is the value of the digit 2 in 82.6?
Answers
Answer:
It's equal to two "ones" ;v;
Step-by-step explanation:
The 8 is 80 "Tens", the 2 is 2 "ones" and the 6 is 6 tenths
Answer:
The value of 2 is 2The place value of 2 is onesI hope it helps ❤❤
Somebody confirm that I am not a complete moron please and thanks
Answers
Answer:
B
Step-by-step explanation:
Triangle B because 128°>90°
Answer:
it should be correct ANSWER D TRIANGLE B
Step-by-step explanation:
"An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right"
-dont worry you are smart we are all good at something!