What is the mean absolute deviation and population standard deviation of this data set? 1, 4, 6, 7, 9, 9

Answers

Answer 1

Answer:

a)2.33

b) 2.83

Step-by-step explanation:

What is the mean absolute deviation and population standard deviation of this data set? 1, 4, 6, 7, 9, 9

Step 1

Find the Mean

n = 6

Mean = Sum of values/Number of value

= 1 +4 + 6 +7 + 9+ 9/6

= 36/6

= 6

a) Mean Absolute Deviation

Formula

= |x - Mean|/n

= | (1 - 6)+(4 - 6) + (6 - 6)+(7 - 6)+ (9 - 6) + (9 - 6)|/6

= 5 + 2 + 0 + 1 + 3 + 3/6

= 14/6

= 2.3333333333333

Approximately = 2.33

b) Population Standard deviation

Formula

=√(x - Mean)²/n

= √ (1 - 6)²+(4 - 6)² + (6 - 6)² +(7 - 6)² + (9 - 6)² + (9 - 6)²/6

= √25+ 4+0+ 1+ 9+9/6

= √48/6

= √8

= 2.828427125

Approximately = 2.83


Related Questions

4ft 5 ft 3ft 5ft please help me i dont know
the answer

Answers

83.2 square feet is the area of the figure.

What is Three dimensional shape?

A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a cone with radius 3 ft and height 5 ft.

We need to find the area of cone=A=πrl+πr²

where l is √r²+h²

A=πr(r+√r²+h²)

=π×3(3+√3²+5²)

=3π(3+√34)

=3×3.14(3+5.83)

=3×3.14(8.83)

=83.2 square feet

Hence, 83.2 square feet is the area of the figure.

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How do you find the domain and range of a function x 4?

Answers

The domain of x=4 is (−∞,∞) and range is {y|y=4} .

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

(−∞,∞)

{x|x ∈ R}

y=4

is a straight line perpendicular to the y-axis, which means that the range is a set of one value  {y|y =4}

Set-Builder Notation:{y|y =4}.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

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How many zeros are at the end of the product $25 \times 240$?

Answers

Answer: There are three 0s

240 x 25 = 6000 and there are three 0s in 6000

The table shows the heights y (in centimeters) of a plant after x weeks. Use the table to complete the statements.
x 0
4
8
y 17 29 41

Answers

Answers are

1) equation is y = 3x + 17
2) slope is rate of 3
3) y intercept is 17
4) how many weeks to reach 65 cm? 16


Step by step

Using points (0,17) and (4,29)
Find slope by using y2 - y1 over x2 - x1

29 - 17 over 4 - 0 = 12/4 simplified to 3

Your slope (m) is 3

Now using point slope form we can find the equation of the line using slope of 3 and (0, 17)

y - y1 = m (x - x1)

y - 17 = 3 (x - 0)
Distribute multiply

y - 17 = 3x

Add 17 to both sides to isolate y

y - 17 + 17 = 3x + 17
Simplify

y = 3x + 17

This is your equation for the line

Now let’s answer questions

1) equation is y = 3x + 17
2) slope is rate of 3
3) y intercept is 17
4) how many weeks to reach 65 cm?

Using our equation y = 3x + 17
we are solving for x,
we know our output (y) is 65

65 = 3x + 17

Subtract 17 from both sides to isolate x

65 - 17 = 3x
Simplify

48 = 3x

Divide both sides by 3 to solve for x

48/3 = 3/3 x

16 = x

So it will take 16 weeks
to reach 65 cm height

Plssssss someone help I've been stuck on this for over an hour.

Answers

Answer:

c = √52

Step-by-step explanation:

→ Write Pythagoras' theorem

a² + b² = c²

→ Substitute in the numbers

4² + 6² = c²

→ Simplify

52 = c²

→ Square root both sides

√52 = c

In the figure shown, EF is tangent to the circle at F, and EG is
tangent to the circle at G. Line segments HF, PG, HJ, and PJ
are also tangent segments.
When mEF = 10 units, what is the perimeter of triangle EHP?
Explain your reasoning.

Answers

Answer:

The perimeter is 20 units

----------------------------------

According to the two-tangent theorem, two tangent segments drawn to one circle from the same external point are congruent.

That is:

EF = EG,HF = HJ,PJ = PG.

We have EF = 10 units, it means EG is also 10 units.

The perimeter of triangle EHP is:

P = EH + HP + EP

We can substitute:

HP = HJ + PJ, segment addition,HJ = HF, stated above,PJ = PG, stated above.

Then the perimeter is:

P = (EH + HF) + (EP + PJ) = EF + EG = 10 + 10 = 20 units

IN THE RECTANGLE BELOW, SOLVE FOR X GIVEN THAT a=51 and ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

x = 25.5 degrees

Step-by-step explanation:

x is part of an isosceles triangle.

Since a is 51, the supplement (& biggest angle in the x isosceles) is going to be 180 - 51 = 129.

That leaves 51 for the rest of the angles, which we have to divide by 2.

51 / 2 = 25.5 degrees

hey! please help i’ll give brainliest

Answers

1st answer ! this is like past tense and present tense.

Answer:

when the verbi is taking place, answer 1

Step-by-step explanation:

this is something you will just have to memorize, but the next two answers are both relating to the person, or who and how many are talking, the last option is describing an adverb, or a word that describes a verb. remember that a verb is the action, it has nothing to do with who did it or how it was done, those are described elsewhere

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

What is h?

NO LINKS!! I repeat NO LINKS!! Keep them to your self

Answers

Answer:

120°

Step-by-step explanation:

The total sum of the interior angles of a decagon is 1440°

10
y

1

x
If
y
=
5
when
x
=
36
find,
y
when
x
=
4

Answers

Answer:

y= 3

Step-by-step explanation:

when y = 5 x= 36

because y = 1[tex]\sqrt{x}[/tex]

so y = 1+ 4

so y= 5

so when x= 4

y = 3

Help!!! Please just answer the question. Thank you!
Let’s compare two different raffles to see which ticket you should buy?

A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket?

Answers

Answer:

I only see one raffle, but the expected value of one ticket is $2. (I think)

Step-by-step explanation:

Have a nice day!

The expected value E(x) of 1 ticket is $0.40.

How to calculate the total amount?

To calculate the total amount by the formula;

Amount = Ticket x Value

Raffle 1

Given;

Tickets  = 800

Value = $2 per ticket

Grand ticket = $450 ...for 1

consolation =$100.. for 2

We need to find the expected value of each ticket;

First, we have to calculate the total amount of the 800 tickets

Amount = Ticket x Value

Amount = 800 x 2

Amount = 1600

Next, we have to calculate the total amount of the prizes

Amount = Ticket x Value

Amount = 450 x 200

Amount = 650

The expected value E(x) of 1 ticket is calculated:

E(x) = 650 / 1600

E(x) = $0.40

Thus, the expected value E(x) of 1 ticket is $0.40.

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50 points plzzzzzzz hurry
Triangles A B C and X Y Z are shown.
Which would prove that ΔABC ~ ΔXYZ? Select two options.

StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction = StartFraction A C Over X Z EndFraction
StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction , angle C is-congruent-to angle Z

StartFraction A C Over X Z EndFraction = StartFraction B A Over Y X EndFraction , Angle A is-congruent-to Angle X

StartFraction B A Over Y X EndFraction = StartFraction A C Over Y Z EndFraction =

StartFraction B C Over X Z EndFraction

StartFraction B C Over X Y EndFraction = StartFraction B A Over Z X EndFraction , Angle C is-congruent-to angle X.

Answers

Answer:

The answer is 3

Step-by-step explanation:

I hope this help you!! I'm sorry If it wrong..

Have a nice day! <3

Answer:A and C

Step-by-step explanation:

saw the answers

A card is picked at random from a standard deck of cards. What is the sample space for this experiment if you were trying to find P(face card)? a. Sample space = 12 b. Sample space = c. Sample space = d. Sample space = 52

Answers

The sample space of the experiment is 52.

What is probability?

The possibility that an event will occur among all potential events is known as probability. It ranges from 0 to 1. The probability is calculated by dividing the number of things by all of the items. Population includes the sample. When studying the entire population is challenging, it is studied.

52 cards in a deck

There are 12 face cards.

The experiment needs a sample space of 52 to find the face cards.

Given that a regular deck of cards is available.

The sample space required for the experiment to determine the probability of face cards must be found.

A face card may or may not be revealed when we pull a card from the deck. So, in order to rule out the possibility that a face card is present at the end of the deck, we must draw every card from a regular deck.

52 samples are therefore required for the experiment.

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HELP PLEASE THIS IS A TEST SO PLEASE DO TGE CORRECT ANSWERS! NO LINKS

Answers

Answer:

B. (1,4)

Step-by-step explanation:

you see the x and y coordinate by looking at the numbers (x,y) = (1,4)

An angle measures 16° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

53° and 37°

Step-by-step explanation:

x + (x - 16) = 90

2x - 16 = 90

2x = 106

x = 53

x = 53

x - 53 = ?

90 - 53 = 37

53 - 37 = 16

Discover the value of each of the shapes. The total weight is 48

Answers

That’s right now I’m not sure if

What is the area of an equilateral triangle with the base of 8 cm? Round your answer to the hundredths place. ​

Answers

Step-by-step explanation:

[tex] \frac{{x}^{2} \times \sqrt{3}}{4} [/tex]

for x=8, area=16*root(3)

Answer:

Let's find the height:

Half of 8 is 4.

4^2 + 8^2 = 80

80(lets find the square root of 80): 8.944 ^2 = 79.995136 close enough to 80

Your new height is 8.944.

8 x 8.944 = 71.552, 71.552 x 1/2 (basically just dividing by 2) = 35.776 rounded would be = 35.78 cm^2

Formula of area of a triangle:

B(base)H(height) x 1/2(basically just dividing by 2)

In this case 8 is your base and 8.944 is your height.

Type the correct answer in the box.
The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x months since the beginning of the year.

Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.

x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15

f(x)=ax^2+bx+c

Answers

Answer:

It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.

To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.

To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.

For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:

f(0) = 10 = a(0)^2 + b(0) + c

f(2) = 15 = a(2)^2 + b(2) + c

f(4) = 18 = a(4)^2 + b(4) + c

Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.

I hope this helps! Let me know if you have any questions or need further assistance.

Step-by-step explanation:

I NEED HELPPP ASAPP PLEASE AND THANKYOU

Answers

Since you know x = 2y,
You can plug in 2y for x in second equation.
2(2y) + 5y = 9
4y + 5y = 9
9y = 9, y = 1
Plug 1 into y for first equation
x = 2(1) = 2

Solution: x = 2, and y = 1

Answer:

Using substitution method

x= 2

y= 1

OPEN ENDED NOT MULTIPLE CHOICE

Some recent studies suggest that a teenager sends an average of 60 texts per day. For each of
the following scenarios, find the linear function that describes the relationship between the input
value and the output value. Then, determine whether the graph of the function is increasing,
decreasing, or constant.


a. The total number of texts a teen sends is considered a function of time in days. The input is
the number of days, and output is the total number of texts sent.


b. A teen has a limit of 500 texts per month in his or her data plan. The input is the number of
days, and output is the total number of texts remaining for the month.


c. A teen has an unlimited number of texts in his or her data plan for a cost of $50 per month.
The input is the number of days, and output is the total cost of texting each month

Answers

The correct answer is C

NEED HELP ILL GIVE BRAINLIEST!!!!

Dividing mixed numbers^^

Answers

Answer:

7) 35/22

8) 45/22

9) 7/5

10) 41/45

7: 1 13/22
8: 2 1/22
9: 1 2/5
10: 41/45

You can use calculatorsoup.com for anymore math questions you have

Why is the 4th interval called perfect?

Answers

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance.

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third  and two semi-steps less compared to the perfect fifth .

The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated  (an alternate spelling is augmented third).

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Why can the sine ratio never be greater than 1?

Answers

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

What is sine and cosine?

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

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in macy's department store, every item has a 30% discount or markdown. If the original price of a pair of Adidas sneakers cost $140, how much would the final price of the sneaker be after the discount is taken off

Answers

$98 is the final price of the sneaker be after the discount is taken off

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that in macy's department store, every item has a 30% discount or markdown.

The original price of a pair of Adidas sneakers cost $140

We need to find the final price of the sneaker be after the discount is taken off

Let us find 30% of 140

Convert 30% to decimal value by dividing with 100

30/100×140

0.3×140=42

So 30% of 140 is 42.

After removing discount the amount will be 140-42=98

Hence, $98 is the final price of the sneaker be after the discount is taken off

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In an Arlington, NY school, the heights of the population of girls are normally distributed with a mean of 63 inches and a standard deviation of 2 inches. If there are 450 girls in the school, determine how many of the girls are shorter than 60 inches. Round the answer to the nearest integer

Answers

Answer:

Number of girls shorter than [tex]60[/tex] inches are [tex]301[/tex].

Step-by-step explanation:

Given: The heights of the population of girls in an Arlington, NY school follows a normal distribution.

Mean[tex]=63[/tex]

Standard deviation[tex]=2[/tex]

Total number of girls[tex]=450[/tex]

Now using the formula,

Standard normal variant, [tex]z=\frac{x-mean}{standard deviation}[/tex]

Now, substitute the values and replace [tex]x[/tex] by [tex]60[/tex]

So. [tex]z=\frac{60-63}{2}[/tex]

[tex]z=-\frac{3}{2}[/tex] or [tex]-1.5[/tex]

Now, probability of girls shorter than [tex]60[/tex] inches

[tex]p(z>-1.5)=0.668[/tex]              look up the value in the normal distribution table

Therefore, number of girls shorter than [tex]60[/tex] inches

[tex]=0.668[/tex]×[tex]450[/tex]

[tex]=301[/tex]

(PLEASE HELP)
What is the sum of the values of luann’s three cards?

Answers

Answer:

the sum of the values should be -14

Step-by-step explanation:

-12+3-5=-14

The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and the volume of the cone.

Answers

The height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3

We can start by using the formulas for the surface area of a sphere and the curved surface area of a cone. The surface area of a sphere is given by 4 * pi * r^2, where r is the radius of the sphere. The curved surface area of a cone is given by pi * r * l, where r is the radius of the base of the cone and l is the slant height of the cone.

Given that the surface area of the sphere is five times the area of the curved surface of the cone, we can write the following equation:

4 * pi * (5^2) = 5 * pi * r * l

We can then solve for the slant height l of the cone:

l = (4*5^2) / r

Given that the radius of the cone is 4 cm, we can substitute this into the equation and solve for l:

l = 100/4 = 25cm

The volume of the cone is 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone.

As we know the slant height and radius of the cone, we can use the Pythagorean theorem to find the height of the cone:

h = sqrt(l^2 - r^2) = sqrt(25^2 - 4^2) = sqrt(625 - 16) = sqrt(609) = 24.6cm

Therefore, the height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3

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−4 1 + 2/3 × 3/5 ÷(−2/5 )

Answers

the answer to −41 + 2/3 × 3/5 ÷(−2/5 ) is -42

caleb earned 15 dollars on monday and 25 dollars on saturday when he raked his neighbors yard. on sunday he gave 10 percent in the offering at church. how much did he give away.

Answers

15 + 25 = 40

10% of 40 = 4

Therefore, Caleb gave $4 to the church!

Hope this helps :D

75 Points!
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.

Answers

Answer:
B. Yes, the constant of proportionality is 2
Step-by-step explanation:
The constant of proportionality is 2 because 4/2 = 2, 8/4 = 2, etc.

Answer:

B. Yes, the constant of proportionality is 2.

Step-by-step explanation:

Given:

A linear relationship is shown in the table.

Time (hours) 2 4 6 8

Distance (miles) 4 8 12 16

Is the linear relationship also proportional? Explain.

A. No, the constant of proportionality is 2.

B. Yes, the constant of proportionality is 2.

C. No, there is no constant of proportionality.

D. Yes, there is no constant of proportionality.

Solve:

To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.

Let's see the table:

Time (hours)                    Distance (miles)

2                                                  4

4                                                  8

6                                                  12

8                                                  16

The formula for it is 'k=y/x'

where;

k: constant of proportionality  

y and x are two quantities that are directly proportional to each other.

Also means;

y = Distance

x = Time(Hours)

Time (hours)                    Distance (miles)

2                                                  4                                                4/2=2

4                                                  8                                                8/4=2

6                                                  12                                               12/6=2

8                                                  16                                                16/8=2

As you see all equal to 2. It a constant. Also means that;

Yes, the linear relationship is proportional and the constant of proportionality is 2.

Answer: B. Yes, the constant of proportionality is 2.

RevyBreeze

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