if population function x has mean M(x)=2 and M(x²)=8, find its standard deviation​

Answers

Answer 1

The standard deviation of the population function is 2

How to determine the standard deviation?

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

[tex]\sigma = \sqrt{M(x^2) - (M(x))^2[/tex]

Substitute known values

[tex]\sigma = \sqrt{8 - 2^2[/tex]

Evaluate the expression

[tex]\sigma = 2[/tex]

Hence, the standard deviation of the population function is 2

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Related Questions

hypotenuse I think????????????????????????

Answers

Answer:

You have walked 7.0 steps

Step-by-step explanation:

You just add 4 steps by 3 steps, so 4+3=7

what would i put in, in the blanks? please help, i don’t get this

Answers

The function f(x) is a logarithmic function with a horizontal asymptote of y=1. The range of the function is all real numbers greater than 1, and it is decreasing on its domain of x>0. The end behavior on the LEFT side is as x approaches zero, y approaches infinity, and the end behavior on the RIGHT side is as x approaches infinity, y approaches 1.

Which is not a function?

Can give brainliest!!

Answers

Answer:

3

Step-by-step explanation:

A function cannot have two y values for any value of x

answer three has two y values for x =1

178x991x001 =? solve for brainiest

Answers

Answer:

176398

Step-by-step explanation:

That comes out, hopefully it's not failing

Answer:

176,398

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Question 2 of 10
If
f(x) = 4x-3, which of the following is the inverse of f(x)?
O A. f¹(x) = 4x+3
7
○ B. /-¹(x) = 7x-3
4
O c. f¯¹(x) = 4x-3
7

Answers

If I did my math right it should be D

For 33 hours of work, you are paid $245.85. how much would you receive for 39 hours?

Answers

Answer:

$290.55

Step-by-step explanation:

We can use a ratio to solve

33 hours            39 hours

---------------- = -------------

245.85              x dollars

Using cross products

33 * x = 39* 245.85

33x=9588.15

Divide each side by 33

33x/33 = 9588.15-33

x =290.55

What is the area of a circle with a radius of 21?

Answers

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~  ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

[tex]\textsc{heya!}[/tex]

we need to find the area of a circle with a radius of 21.

we also need a formula for this, which is

⇒ [tex]\bold{A=\pi r^2}[/tex]

the known value is r, radius, 21.

after substituting the value into the formula, we obtain:

⇒ [tex]\bold{A=\pi (21)^2}[/tex]

now we multiply the radius times itself:

⇒[tex]\bold{A=\pi *441}[/tex]

which can be written as

⇒[tex]\bold{A=441\pi}[/tex]

and finally, multiply the values

⇒ [tex]\bold{A=1385.4\;units\;^2}[/tex]

[tex]\textsc{hopefully\:helpful}[/tex]

by: [tex]\textsc{$^da_nc^in_g$}[/tex]

have a great rest of your day ahead ~ = )

Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction.

Answers

The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet

Determining shape

From the question, we are to determine the statement that describes the shape of the barrier

From the given information,

The barrier is 2.5 feet from the tomato plant in every direction.

This can be likened to a circle that has a radius of 2.5 feet.

Recall: Radius of a circle is the distance from the center of the circle to any point on it's circumference

If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet

Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option-  A circle with a diameter of 5 feet

Here is the complete question:

Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?

A circle with a radius of 5 feet

A square with diagonals 5 feet long

A square with sides 5 feet long

A circle with a diameter of 5 feet

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Can someone help pls

Answers

Answer:

B.) No, because it fails the vertical line test.

Step-by-step explanation:

You can determine whether or not graphs represent functions by performing the vertical line test. This test states that to be a function, there must only be one output for every input. In other words, there must be only one "y" value per "x" value. As you can see, for some "x" values there is more than one "y" value.

The easiest way to perform this test is by placing your finger at the top of the graph and moving it downwards. If you cross the line twice, then it must not be a function.

a washing machine was reduced in sale by 15% the sale price is now £238 what was the original price?​

Answers

Answer:

£280

Step-by-step explanation:

238/0.85

Are any of these funtions?

Answers

Answer: The first and the fourth option

Step-by-step explanation:

   Every input of a function can have only one output.

   Option one is a function.

   See the attached image as to why option two is not a function.

   Option three has two outputs for the input value of "20" meaning it is not a function.

   Option four is a function.

DILATE TRIANGLES URGENTTTTTT
photo is inserted so work from that, the original triangle is the one in blue.

Answers

The Dilation is 0.76

What is dilation?

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

Dilation or scale factor=  Dimension of new shape/ dimension of old shape

= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)

= 8.3/10.9

= 0.76

Hence, the scale factor is 0.76.

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is (0,0) a solution to this system? y ≤ x^2 + x - 4 y < x^2 + 2x + 1

Answers

( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than’

Finding the solution for the inequality is as follows:-

y ≤  x² +x-4 by putting x and y equal to 0.

0 ≤ 0 + 0 -4

0 ≤ - 4

This is incorrect so (0,0) can not be the solution for this inequality.

y < x²+2x+1.

0 < 0 + 0 + 1

0 < 1

This inequality is showing the solution for (0,0)

Therefore ( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.

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WILL GIVE BRAINLIEST Help me please! The questions are in the photos below.

Answers

Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ².

What is Pythagorean theorem?

Pythagorean theorem is a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

Mathematically, Pythagorean's theorem is given by this formula:

x² + y² = z²

Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ². It is given that  x² + y² = z² in triangle ABC, so z² = PQ² or AB = PQ.

The above information shows that the triangles are congruent because their three (3) sides are congruent. Therefore, to show that triangle PQR is a right triangle, we can use corresponding parts of the congruent triangles to show that PQ = AB, PR = AC and QR = BC.

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Professor Hopkins is grading the final exam. She notices that the
mean test score is 71, and the standard deviation is 6. The test
scores were normally distributed.
If there were 300 students in the data sample, how many would
have a test score between 71 and 83?*
*Round your answer to the nearest whole value.
students

Answers

Answer:

  143

Step-by-step explanation:

The interval of interest extends from the mean score (71) to 2 standard deviations above the mean (71+2(6) = 83). The area under the normal distribution curve in this interval can be found using a suitable table, probability app, spreadsheet, or web site. It can also be found using the "empirical rule", which tells you that the 95% of the area is within 2 standard deviations of the mean.

__

Since the curve is symmetrical, and we're only interested in the area above the mean, the empirical rule tells us that 95%/2 = 47.5% of the sample will be in the range of interest.

  0.475 × 300 = 142.5 ≈ 143

143 students will have a score between 71 and 83.

__

The attachment shows a calculator output for the same calculation. You will notice it is slightly different from the "empirical rule," which is only an approximation. Either way, we find 143 students have scores in the range.

The diameter of a circle is 12 miles. What is the circle's area use 3.14

Answers

Step-by-step explanation:

Are of a circle is πr^2

to find the radius r=d/2

=12/2=6r

3.14x6x6

=169.56 cm^2

please mark as brainliest

PLEASE HELPPP ITS WORTH 20 points!!!

Answers

Answer:

tanD =4/7

Step-by-step explanation:

tanD = P/B

Where P=4 and B=7

So;

tanD=4/7

add. express your answer in simplest form. 1/12 + 5/12

Answers

Answer:

The answer is 1/2

Answer:

1/2

Step-by-step explanation:

[tex]\frac{1}{12}+\frac{5}{12} = \frac{6}{12}\\ \\ \frac{6}{12} = \frac{1}{2}[/tex]They are both equivalent fractions. If you divide the numerator and denominator both by 6, you get 1/2.

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 31 feet up. The ladder makes an angle of 78
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

30.7 ft ladder length

Step-by-step explanation:

The ladder makes the hypotenuse of a right triangle

 31 feet   is the opposite leg of 78 degree angle

   sin 78 = opposite / hypotenuse

   sin 78 = 30/ hypot

      30 / (sin 78 ) = hypotenuse = 30.7 ft

Answer:31.7

Step-by-step explanation:

A line contains the points (3, 2) and (6, 0). What is the equation of the line?
A
y = 3x + 2
B
y = 2x - 2
C y = -2x+3
D
2/3x+4

Answers

It’s definitely c yes

hey guys my last question please answer :) peace and love guys

Answers

Looking at the problem statement, this question states for us to determine the range of the function that is provided in a graph is.  Let us first determine what range is.

Range ⇒ Range is what y-values can be used in the function that is graphed.  For example, if a line just goes up and down all the way to negative and positive infinity, then the range would be negative infinity to positive infinity as it includes all of the y-values in it's solutions.

Now moving back to our problem, we can see that we have a vertex at (2, -5) and that the lowest y-values is at y = -5.  Therefore the y-values would be anything greater than or equal to -5 and less than infinity because the lines go forever up in the positive-y-direction.

Therefore, the option that would best match the description that we provided would be option B, -5 ≤ y < ∞.

Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
X -6 -4 -1 3 4
f(x) 15 11
5 -3 -5
g(x) -36 -26 -11 9 14
O (0,9)
O (0, 3)
O (0, -3)
O (0, -9)

Answers

The y-intercept of linear function (f- g)(x) is (0,9)

How to determine the y-intercept?

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

[tex]y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1[/tex]

So, we have:

[tex]f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15[/tex]

Evaluate

f(x) = -2x + 3

Also, we have:

[tex]g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36[/tex]

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

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e0.02t
where
The population of a town is modeled by the equation P = 16, 581e'
Prepresents the population tyears after 2000. According to the model, what
will the population of the town be in 2020?
CL

Answers

According to the model, the towns population in 2020 will be around 24,736.

Complete the function table.
Input (n) Output (n − 3)
0
2
8

Answers

A function assigns the value of each element of one set to the other specific element of another set. The output for the given inputs 0, 2, and 8 in the table is -3, -1, and 5, respectively.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

For the given function table, the function table can be filled as,

Input (n)       Output (n − 3)

0                       (0 - 3) = -3

2                       (2 - 3) = -1

8                       (8 - 3) = 5

Hence, the output for the given inputs 0, 2, and 8 in the table is -3, -1, and 5, respectively.

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jasper

Answers

According to all known laws
of aviation,

there is no way a bee
should be able to fly.

Its wings are too small to get
its fat little body off the ground.

The bee, of course, flies anyway

because bees don't care
what humans think is impossible.

Yellow, black. Yellow, black.
Yellow, black. Yellow, black.

Ooh, black and yellow!
Let's shake it up a little.

Barry! Breakfast is ready!

Ooming!

Hang on a second.

Hello?

- Barry?
- Adam?

- Oan you believe this is happening?
- I can't. I'll pick you up.

Looking sharp.

Use the stairs. Your father
paid good money for those.

Sorry. I'm excited.

Here's the graduate.
We're very proud of you, son.

A perfect report card, all B's.

Very proud.

Ma! I got a thing going here.

- You got lint on your fuzz.
- Ow! That's me!

- Wave to us! We'll be in row 118,000.
- Bye!

Barry, I told you,
stop flying in the house!

- Hey, Adam.
- Hey, Barry.

- Is that fuzz gel?
- A little. Special day, graduation.

Never thought I'd make it.

Three days grade school,
three days high school.

Those were awkward.

Three days college. I'm glad I took
a day and hitchhiked around the hive.

You did come back different.

- Hi, Barry.
- Artie, growing a mustache? Looks good.

- Hear about Frankie?
- Yeah.

- You going to the funeral?
- No, I'm not going.

Everybody knows,
sting someone, you die.

Don't waste it on a squirrel.
Such a hothead.

I guess he could have
just gotten out of the way.

I love this incorporating
an amusement park into our day.

That's why we don't need vacations.

Boy, quite a bit of pomp...
under the circumstances.

- Well, Adam, today we are men.
- We are!

- Bee-men.
- Amen!

Hallelujah!

Students, faculty, distinguished bees,

please welcome Dean Buzzwell.

Welcome, New Hive Oity
graduating class of...

...9:15.

That concludes our ceremonies.

And begins your career
at Honex Industries!

Will we pick ourjob today?

I heard it's just orientation.

Heads up! Here we go.

Keep your hands and antennas
inside the tram at all times.

- Wonder what it'll be like?
- A little scary.

Welcome to Honex,
a division of Honesco

and a part of the Hexagon Group.

This is it!

Wow.

Wow.

We know that you, as a bee,
have worked your whole life

to get to the point where you
can work for your whole life.

Honey begins when our valiant Pollen
Jocks bring the nectar to the hive.

Our top-secret formula

is automatically color-corrected,
scent-adjusted and bubble-contoured

into this soothing sweet syrup

with its distinctive
golden glow you know as...

Honey!

- That girl was hot.
- She's my cousin!

- She is?
- Yes, we're all cousins.

- Right. You're right.
- At Honex, we constantly strive

to improve every aspect
of bee existence.

These bees are stress-testing
a new helmet technology.

- What do you think he makes?
- Not enough.

Here we have our latest advancement,
the Krelman.

- What does that do?
- Oatches that little strand of honey

that hangs after you pour it.
Saves us millions.

Oan anyone work on the Krelman?

Of course. Most bee jobs are
small ones. But bees know

that every small job,
if it's done well, means a lot.

But choose carefully

because you'll stay in the job
you pick for the rest of your life.

The same job the rest of your life?
I didn't know that.

What's the difference?

You'll be happy to know that bees,
as a species, haven't had one day off

in 27 million years.

So you'll just work us to death?

We'll sure try.

Wow! That blew my mind!

"What's the difference?"
How can you say that?

One job forever?
That's an insane choice to have to make.

I'm relieved. Now we only have
to make one decision in life.

But, Adam, how could they
never have told us that?

Why would you question anything?
We're bees.

We're the most perfectly
functioning society on Earth.

You ever think maybe things
work a little too well here?

Like what? Give me one example.

I don't know. But you know
what I'm talking about.

Please clear the gate.
Royal Nectar Force on approach.

Wait a second. Oheck it out.

- Hey, those are Pollen Jocks!
- Wow.

I've never seen them this close.

They know what it's like

Someone help me with this ​

Answers

Answer:

radius = √35 mm or 5.916 mm

Explanation:

[tex]\sf area \ of \ circle = \pi r^2[/tex]

Here:

area of circle: 110 mm²π taken as 22/7

Solve for radius:

[tex]\rightarrow \sf \pi r^2 = 110[/tex]

[tex]\rightarrow \sf \dfrac{22}{7} r^2 = 110[/tex]

[tex]\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35[/tex]

[tex]\rightarrow \sf r = \sqrt{35}[/tex]

Let's see

Area=110πr²=11022/7r²=110r²≈110(7)/22r²=770/22r=√770/22r=5.9mm

Which statements are true about the solution 2< x -7


Here the options
First one to reply within 5 minutes gets 100 points and brainlist

Answers

Answer:

B. x > 9

D. The graph has open circle.

F. The arrow to the right.

Solving Steps:

⇒ 2 < x - 7

⇒ 2 + 7 < x

⇒ 9 < x

⇒ x > 9

Explanation:

Here as the inequality sign is ">" it will be a open circle.

Note: "≤" and "≥" inequality signs have closed circle.

As x > 9, the arrow points will be towards right.

Find the measure of the angle indicated

Answers

Answer:

59°

Step-by-step explanation:

Well, as you can see from the figure, the line WU is a diameter which means that it is a straight line. So, Angle WSU is 180° (Because straight angles are 180°)

Also, angle WSU is formed by addition of angle VSW and VSU. The value of VSU is given in the picture. So,

∠VSW + ∠VSU = 180°

∠VSW = 180° - ∠VSU

∠VSW = 180° - 121 (Because ∠VSU is given 121°)

∠VSW = 59°

Therefore, angle VSW is 59 degrees.

So, here you go. I hope you understand my explanation. Have a good day.

- Eddie

Look at the image below and figure it out i have 10 min

Answers

Answer:

The first one is Perimeter The second one is Area The third on is Volume.

Step-by-step explanation:

A box big enough to hold a computer is the area of something, A fence to go around the garden would be the perimeter, enough carpet to cover the floor is the volume

A fence to around a flower garden ---> perimeter

A box big enough to hold a computer ---> volume

Enough carpet to cover the floor ---> area

What is perimeter?

Distance around the outside of a shape.

What is volume?

The number of cubic units that make up a solid figure; the amount of space the figure occupies. In Cubic Units, or units³.

What is area?

The space or surface enclosed in 2-dimensional shape.

Using these definitions, it can be said that the fence acts as a perimeter surrounding a flower garden. Each side has a length.

A box big enough enough to hold a computer is the amount of space in the box to make it big enough to hold the computer (The volume of the box).

The amount of carpet to cover the floor is acting as a 2-dimensional shape scenario as the carpet is likely a standard typical shape such as a rectangle or square. Overall, enough to occupy a standard-sized room.

10 A group of young men decided to raise sh 480 000 to start a business.. Before the actual payment was made, four of the members pulled out and each of those remaining had to pay an additional sh 20 000. Determine the original number of members.​

Answers

A group of young men decided to raise Ksh.480000 to start a business. Before actual payment was made four members pulled out and each of the remaining had to pay an additional Ksh.20000. Write an expression in terms of P for.

(a) (i) Original contribution of each member.

(ii) Contribution after withdrawal of four members.

(b) Form an equation in P and hence determine the number of initial members.

(c) Three men Kamau, James and Hassan shared Shs.480000 such that Kamau: James is 3: 2 and James: Hassan is 4: 2. Find how much each got.

Other Questions
please help me with this If you were to create your own kingdom, different from all the others, what would it be named, and what are the distinguishing characteristics of this kingdom? make sure to name at least 4 characteristics and how they are different from characteristics of other kingdoms. The swift population rise in the last 2,000 years was caused by an increase in food supply. disease immunity. technological advances. access to birth control education. find the measure of the indicated angle ?8258__ degrees Answer the following in paragraph form How do we / can we protect ourselves, and our liberal principles, without becoming illiberal?What are some other instances where Canada has been illiberal? Which events do you think are the most serious? Provide evidence to support your answer. I dont know how to do this question and my math teacher is not helpful I WILL GIVE YOU BRAINLIEST!!a pet store has 8 empty fish tanks that each hold 5544 cubic inches of water one goldfish requires a minimum of 1386 cubic inches of water.What is the greatest number of goldfish that the pet store can have given the volume of water needed for one goldfish? What is the probability of drawing four queens from a standard deck of cards, given that the first card drawn was a queen? Assume that the cards are not replaced.3/208254/521/208253/52 Question 5 of 10What can you infer about Romeo's character from this conversation in theCapulets' garden?ROMEOWhat shall I swear by?JULIETDo not swear at all.Or, if thou wilt, swear by thy gracious self,Which is the god of my idolatry,And I'll believe thee.ROMEOIf my heart's dear love-JULIETWell, do not swear. Although I joy in thee,I have no joy of this contract tonight.It is too rash, too unadvised, too sudden,Too like the lightning, which doth cease to beEre one can say "It lightens." Sweet, good night.This bud of love, by summer's ripening breath,May prove a beauteous flower when next we meet,Good night, good night The angle marked a=92 degrees.work out the angle marked x. Which of the following would be considered the BEST example of a continuous cardiorespiratory activity? Karate Playing soccer Rock climbing Yoga Why did the artists of ancient egypt record details of everyday life? a. it was the only way to make legal and religious documents. b. they wanted to document local plants and animals. c. even daily scenes could please the gods since they governed everything. d. it was the best way to preserve family histories. score distribution of the test result of 33 students in a science class containing 50 items Which statement defines specific heat capacity for a given sample Write an essay of 250 words explaining some of the Christian heritage of New York. This may include information on early missionaries, or perhaps on an important individual or organization. How did this Christian effort help the region? Are effects of that effort still being felt today? Be specific when presenting your data. Give names, dates, and places, as well as the current number of churches within your town according to denominations or beliefs. Your local library can supply you with the necessary information. Which of the following is the correct graph of the solution to the inequality -13> -5x + 2 > -28? what does le chasseur tell jill and jack? please solve it fast Which function has a vertex at the origin?f(x) = (x + 4)f(x) = x(x-4)f(x) = -xf(x) = (x-4)(x+4) A box contains 60 raffle tickets. The tickets are numbered 1 to 60 inclusive. What is P(multiple of 12) when a ticket is drawn from the box?