Select all the correct measures of center and variation for the following data set.

10, 20, 31, 17, 18, 5, 22, 25, 14, 43



First quartile = 12



IQR = 11



Median = 19



Third quartile = 25



MAD = 7

Answers

Answer 1

Answer:

Median = 19

IQR = 11

Third quartile = 25

Step-by-step explanation:

Just caculate it...


Related Questions

An angle that measures 125° is composed of three smaller angles. Two of the smaller angles measure 25° and 40 degrees Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s. Explain why Tom is incorrect and tell how to find the measure of the third smaller angles

Answers

The measure of the other angle is 60°.

What is an Angle ?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

As given in the question

An angle that measures 125° is composed of three smaller angles.

Two of the smaller angles measure 25° and 40 degrees

Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s

Tom is incorrect because the sum of the smaller angles will be equal to the bigger angle and the equation he has written is wrong.

The right equation and method will be

25 +40+x = 125

x = 125-40-25

x = 60°

Therefore the measure of the other angle is 60°.

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what is the sign of a times -b/b when a = 0 and b < 0?

Answers

The sign of a times -b/b when a = 0 and b < 0 is neutral neither negative nor positive .

What is a integers ?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero

As b<0 which means b would be negative.

So, -b/b gives a negative value.

Because if any of the either numerator or denominator is negative then the resulting value also be negative.

and if zero '0' is multiplied and number whether it is positive or negative the resulting value will be zero.

So,  a* (-b/b)= 0* negative= negative zero, but zero is neither negative nor positive .

hence, the sign of a times -b/b is neutral neither negative nor positive .

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JoAnne wanted to add some accessories to her house. She purchased the following items; 2 decorative bowls for $46 each, a picture for $85, a lamp for $67, and four candles for $12 each. How much did she spend?
$296
$292
$290
$294

Answers

Answer:

the answer is $292 :)

have a nice day

Write an equation for this situation.

Answers

Answer: A) y = 3x + 2

Step-by-Step Explanation:

Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read

Given:

He read 2 books before joining (+2)
He plans to read 3 books per month (3x)

Equation:

= Total no. of books = 3 multiplied by the no. of months + 2 books he had read

=> y = 3x + 2

There are 4 green apples and 6 red apples in a bag. If you pick one apple without looking, the probability that the apple is green is and the probability that it is red is .

Answers

Answer:

you wold more likly get a red than a green

Step-by-step explanation:

Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length of the hair, y, in terms of the months since your haircut, x

Answers

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:


If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?

Answers

Answer: Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

what is the inverse of the following function: y-x^3=3

Answers

Answer:

f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]

Find the nth term
-7,-9, -11, -13,
, ,

Answers

Answer:

you are subtracting 2 so it would be like

-7,-9,-11,-13,-15,-17,-19


Someone please help me on this question and no links they don’t work!!

Answers

Answer:

78

Step-by-step explanation:

hint

Aina, who works in an accounting firm, earns a monthly salary of 35,000 PHP per month and also receives 3,500 PHP for a monthly allowance. Her monthly contributions are as follows: 1,466 PHP for income tax, 300 PHP for PhilHealth, 800 PHP for SSS, and 100 PHP for Pag-IBIG. Find her NET INCOME for this month.

Answers

Using the given information, Aina's net income is for the month is 35,834 PHP

Calculating Net income

From the question, we are to determine the net Aina's net income

Aina's net income is the value of her total income minus all other expenses

From the given information,

Aina's monthly salary is 35,000 PHP per month and also receives 3,500 PHP for a monthly allowance

∴ Aina's total income = 35,000 PHP + 3,500 PHP

Aina's total income = 38,500 PHP

Sum of her other expenses = 1,466 PHP + 300 PHP + 800 PHP + 100 PHP

Sum of her other expenses = 2,666 PHP

∴ Aina's net income = 38,500 PHP - 2,666 PHP

Aina's net income = 35,834 PHP

Hence, Aina's net income is for the month is 35,834 PHP.

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Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?

Answers

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

After sinéad lost 20% of her money, she had $1600 left. How much money did sinead lose?

Answers

Answer:

x - beginning money

x - .20x = 1,600

.80x = 1.600

Original money = 2,000

Therefore, Sinead lost $400.00

Step-by-step explanation:

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

A^2 +b^2 = c^2

8^2 + 13^2

64 + 169

233

233 = c^2

so we find the square root of 233

answer is 15.26

Answer:

15.26

Step-by-step explanation:

The Pythagorean theorem

The Pythagorean theorem is used to find missing side lengths in a right triangle (  a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.

The formula of the Pythagorean theorem is

a² + b² = c²

Where a and b = base lengths and c = hypotenuse ( longest side )

Solving for the missing side

Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.

To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )

Plugging in what we are given

Given:

a = 8 , b = 13

Formula : a² + b² = c²

==> plug in values

8² + 13² = c²

==> simplify exponents

64 + 169 = c²

==> add 64 and 169

233 = c²

==> take the square root of both sides

c = 15.26 ( rounded to two decimal places )

And we are done!

Please help me with those questions as soon as possible

Help me please!!!!!!

Answers

1.a. Typical number chosen = the median value = 6

b. 27

2. a. 21

b. b. How the scores vary = Range of the scores = 5

c. Mode = 8

d. Median = 8

What is the Range, Mode, and Median of a Data Set?

Range = Highest value - least value

Mode = most occurred data point

Median = center value of the data distribution (typical value of a dot plot).

1. a. Typical number chosen = the median value (center value) on the dot plot = 6

b. The number enrolled = number of student represented on the dot plot + 2 students absent = 25 + 2 = 27.

2. Data given: 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10

a. There are 21 data points given, therefore, the number of students in the afternoon math class is: 21.

b. How the scores vary = Range of the scores = 10 - 5 = 5

c. Mode of the data = 8

d. Median score = 8

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NEED HELP QUICKLY!!


Find the value of the trigonometric ratio. Reduce the fraction when you can. tan X 40 Z X A) C) 5 4 5 32 Y 24 B) D) 433335

Answers

Answer:  4/3

Work Shown:

tan(angle) = opposite/adjacent

tan(X) = ZY/XY

tan(X) = 32/24

tan(X) = (8*4)/(8*3)

tan(X) = 4/3

What type of expenses are mortgages, taxes, and property insurance?

Answers

Answer:

Typical household fixed expenses are mortgage or car payments, rent payments, real estate taxes and insurance premiums.

Mortgages, taxes, and property insurance are housing expense.

What are expenses?

An expense is a cost that businesses incur in running their operations. Expenses include wages, salaries, maintenance, rent, and depreciation.

Given that, What type of expenses are mortgages, taxes, and property insurance.

They come under housing expenses.

Total housing expense adds up all the relevant ongoing costs needed to maintain homeownership. This will include monthly bills, insurance costs, taxes, and homeowners association dues in addition to mortgage interest and principal.

Hence, Mortgages, taxes, and property insurance are a housing expense.

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Ryan's backyard has cement and grass. Find the area of the part with cement.
(Sides meet at right angles.)

Answers

Answer:

28m²

Step-by-step explanation:

I don't really know how to explain so I'm just going to say its 28m²

The area of the part with cement will be 28 square meters.


What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the image has the backyard area in which some part is cemented and the remaining part is grass.

The area of the cemented part will be calculated as:-

Cemented area = Total area - Area of grass

Cemented area = ( 6 x 6 ) - ( 4 x 2 )

Cemented area = 36 - 8

Cemented area = 28 square meters

Therefore, the part with cement in the backyard will have an area of 28 square meters.

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If f(c) =x+7 and g(x)= 1/x-13x, what is the domain of (f circle g)(x)

Answers

Answer:

last option, {x|x≠13}

Step-by-step explanation:

(f of g)(x) means f(x) x g(x):

(x + 7) x (1 / x - 13) = (x + 7) / (x - 13)

domain is all possible x values which is the denominator, x - 13

x - 13 = 0

Interval notation: (−∞,13)∪(13,∞) this means x does not equal 13

Penelope has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Penelope randomly removes a chew from the bag, records the result, and returns the chew to the bag. Penelope performs the experiment 33 times. The results are shown below:
A orange chew was selected 13 times.
A apple chew was selected 9 times.
A lime chew was selected 11 times.

Based on these results, express the probability that the next chew Penelope removes from the bag will be apple or lime as a percent to the nearest whole number.

Answers

The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

Here, Number of apple and lime is 9 + 11 =20

Total bag contains = 13 + 9 + 11 = 33

Probability = Number of apple or line / Total

                   = 20 / 33

                   = 60.6 %

Thus, The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

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what is 6,973 ×62 ​ equal to
​ ​

Answers

Answer:

432326

Step-by-step explanation:

i just times them together

Answer:

that should be 432,326

Step-by-step explanation:

I do not rly know how to the calculator on this app properly yet but I will try my best to explain it

×6973

62

3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13

and you get this first

13946

and you also multiply your 6 by all the numbers above giving you

41838

so you arrange it like this and get

13946

41838

and you add it together giving you

432,326.

and the third picture should be your answer.

You can transform circle F to circle F' by translating it and then performing a dilation centered at F'. Find the translation rule and the scale factor of the dilation

Answers

The translation is 8 units to the right and 5 units downwards, and the scale factor is k = 0.8

How to find the transformations used?

First, we have a translation that goes from F to F', to identify it, we need to find the centers of the two circles.

F = (-5, 4)

F'= (3, -1)

To get the translation we take the difference between the two centers:

F' - F =  (3, -1) - (-5, 4) = (8, -5)

So the translation moves 8 units to the right and 5 units downwards.

To get the dilation we need to find the quotient between the radius of F' and the radius of F.

This is:

k =  4/5 = 0.8

So the scale factor is 0.8

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Solve each proportion. 9/8 = x/7

Answers

Answer:

x=63/8

Step-by-step explanation:

9/8=x/7

or, 9*7=x*8

or, 63=8x

x=63/8


5) In the segment below, segment DC = 29, lengths AB, BC, AC, rounded to the nearest tenth, and angle measures for

Answers

Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:

AB = 27.2 units

BC = 33.5 units

AC = 50.4 units.

m∠A = 38°

m∠ABC = 112°

What are the Trigonometric Ratios?

The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.

Find BD using TOA:

tan ∅ = opp/adj

tan 30 = BD/29

BD = tan 30 × 29

BD = 16.7 units

Find AD using TOA:

tan ∅ = opp/adj

tan 52 = AD/16.7

AD = (tan 52)(16.7)

AD = 21.4 units

Find AB using SOH:

sin 52 = 21.4/AB

AB = 21.4/sin 52

AB = 27.2 units

Find BC using CAH:

cos 30 = 29/BC

BC = 29/cos 30

BC = 33.5 units

Find AC:

AC = AD + DC

AC = 21.4 + 29

AC = 50.4 units.

m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)

m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)

m∠ABC = 180 - 38 - 30

m∠ABC = 112°

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i need help 7th grade math i need all the answers correct please ASAP

Answers

Answer:

The 8.39-kg bag

Step-by-step explanation:

19.99 divided by 7.98 = $2.51

20.38 divided by 8.39 = $2.43

2.51 > 2.43

So 8.39-kg bag is the better buy

Answer:

7.98: $2.51/kg8.39: $2.43/kgthe 8.39 kg bag is the better buy

Step-by-step explanation:

To find the unit price, divide the price by the number of units. Here, the unit of interest is 1 kg.

__

Unit price of 7.98 kg bag:

  $19.99/(7.98 kg) = $2.51 /kg

__

Unit price of 8.39 kg bag:

  $20.38/(8.39 kg) = $2.43 /kg

__

The 8.39 kg bag has a lower cost per kilogram, so is considered the better buy.


Find the surface area

Answers

Answer:

should be 1305 yd^2

Step-by-step explanation:

to get the surface area of one of the 3 recanglular sides take 24 x 15 to get 360 then muliply by 3 to get 1080 since all the recanglular sides are the same then do 15 x 15 to get both of the triangle sides to get 225 since the equation is 1/2 B x H then add them together

Your friend wants to sell his car (Toyota SUV). Your friend did some online research on similar cars and has found the following prices: $13,500 , $12,900, $15,300 , $13,700, and $12,000. What do you think would be a reasonable price for your friend to sell the car for? How did you come up with this price?

Answers

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

What is the best selling price?

The best selling price is defined as if the profit is more than the amount is known as the best selling price.

Your friend wants to sell his car (Toyota SUV).

Your friend did some online research on similar cars and has found the following prices: $13,500 , $12,900, $15,300 , $13,700, and $12,000.

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

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Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other. If they meet in 4 hours, what is the rate of each bus?

Answers

If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.

If they meet in 4 hours.

Then the speed of each bus will be

Let x be the speed of the one bus.

Then the speed of second bus will be

Speed = x - 11

Then the relative speed will be

Speed = 2x - 11

Then we have

2x - 11 = 948 / 4

2x - 11 = 237

    2x = 248

      x = 124

Then the speed of each bus will be 124 km per hour and 113 km per hour.

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the cost of 3 dolls if 2 such dolls cost rs.120 is ...... ans pls

Answers

Answer:

Rs. 180

Step-by-step explanation:

This is a proportion problem.

We are told that 2 dolls cost Rs. 120

Thus;

Cost of 1 doll = 120/2 = Rs. 60 per doll

Then;

Cost of 3 dolls = Rs. 60 * 3 = Rs. 180

URGENT BRIANLIEST WILL BE GIVEN

Whats the volume of the barn?

Answers

Answer:

7840 ft^3

Step-by-step explanation:

give brainliest please!

(10*14*40) + (14*40*8)1/2

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