(7)
* 8. Evaluate Mahesh rides a bus to work. The number of minutes his daily
bus ride took over a two-week period are recorded below:
M T W Th F
Week 1 12 8 10 9 12
Week 2 8 7 12 9 10
a. Find the mean, median, mode, and range of the data.
b. Which measure would Mahesh use to describe how many minutes
the duration of his bus ride may differ from day to day?

Answers

Answer 1

a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.

b. The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

From the question,

The data for the first week are

Week 1: 12, 8, 10, 9, 12

and for the second week

Week 2: 8, 7, 12, 9, 10

Putting the data together, we have  

12, 8, 10, 9, 12, 8, 7, 12, 9, 10.

Now,

]a. To determine the mean of the above data,

Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.

From the above, we have 10 numbers

∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]

[tex]Mean = \frac{97}{10}[/tex]

Mean = 9.7 minutes

For the median of the data

The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.

For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10

Arranging in ascending order, we get

7, 8, 8, 9, 9, 10, 10, 12, 12, 12.

Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.  

∴ [tex]Median = \frac{9+10}{2}[/tex]

[tex]Median = \frac{19}{2}[/tex]

Median = 9.5 minutes

For the mode of the data

The mode is the value that occurs most often.

From the data, 12 occurs most often (three times)

∴ Mode = 12 minutes

For the range of the data

Range is the difference between the highest and lowest values.

From the data

Highest value = 12

Lowest value = 7

∴ Range = 12 - 7

Range = 5 minutes

b. For the measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day.

Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.

∴ The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Hence,

From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes

and the  measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Learn more here: https://brainly.com/question/16882439


Related Questions

Solve for x in the diagram below.

Answers

Answer:

x = 45

Step-by-step explanation:

180 = (2x + 45) + x

135 = 2x + x

135/3 = 3x/3

45 = x

Answer:

x = 45

Step-by-step explanation:

The 2 given angles are adjacent snd sum to 180° , then

2x + 45 + x = 180 , that is

3x + 45 = 180 ( subtract 45 from both sides )

3x = 135 ( divide both sides by 3 )

x = 45

three decreased by the product of a number and two

Answers

3-2x should be the right answer

Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?

Answers

Answer:

540

Step-by-step explanation:

546-56=490

490+17+30=537

537+3=540

rewrite without parentheses and simplify (y-5)^2

Answers

Answer:

y^2 - 10y + 25

Step-by-step explanation:

(y - 5)^2 =

(y - 5) • (y - 5)

Multiply y times y

y^2

Add 5 and 5

10

Multiply 5 and 5

25

Add these terms together

y^2 - 10y + 25

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

(a - b)² = a² - 2ab + b²(a + b)² = a² +2ab + b²(a - b) (a + b) = a² - b²

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

l= 6 ft, w = 2 ft, h= 5 ft what is the surface area of the rectangular prism​

Answers

it’s literally 6x2x5 (60 sq ft)

104 ft^2

Explanation:

The surface areaa of a rectangular prism is given by the formula:

2 (lw + hl + hw)

l = length

w = width

h = height

Substitute the formula with the givsn dimensions:

2 ([6 x 2] + [5 x 6] + [5 x 2])

= 2 (12 + 30 + 10)

2 (52)

= 104

So the SA is 104 square feet or ft^2

Hope this helps!

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is

Answers

We know

[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

ATQ

[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]

[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]

Add −1.5+1.75

Plot the first addend and the sum on the number. pls answer

Answers

In a general sum:

A + B + C

each of these elements is called an addend.

In this problem we want to add:

-1.5 + 1.75

The first addend is -1.5, the second addend is 1.75.

First let's solve this, notice that the first element is negative and the second is positive, so we can rewrite our sum as:

-1.5 + 1.75 = 1.75 - 1.5 = 0.25

Now we want to plot the first addend (-1.5 ) and the sum of the numbers (0.25)

We only need to find these points in a number line and graph them, you can see an example below:

If you want to learn more, you can read:

https://brainly.com/question/24367392

Answer:

1.5 + 1.75= 0.25

The rest shall be answered shortly.

Step-by-step explanation:

Thx so much!

-Your helper

How would I do this?

Answers

Do it this way you will substitute

pls help G, H, I, J pls explain​

Answers

Part G

The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.

Let's solve for x.

angle ABD + angle DBC = 180

(0.5x+20) + (2x-10) = 180

2.5x+10 = 180

2.5x = 180-10

2.5x = 170

x = 170/2.5

x = 68

Then we'll use this to find angle ABD

angle ABD = 0.5*x + 20

angle ABD = 0.5*68 + 20

angle ABD = 34 + 20

angle ABD = 54

Answer:  54 degrees

============================================================

Part H

Use the value of x we found back in part G to find the measure of angle DBC

angle DBC = 2x - 10

angle DBC = 2(68) - 10

angle DBC = 136 - 10

angle DBC = 126

An alternative is to subtract the measure of angle ABD from 180

angle ABD + angle DBC = 180

angle DBC = 180 - (angle ABD)

angle DBC = 180 - 54

angle DBC = 126

Answer: 126 degrees

============================================================

Part I

This time, the two angles add to 90 degrees as shown by the square corner marker.

(angle XYW) + (angle WYZ) = 90

(1.25x - 10) + (0.75x + 20) = 90

2x + 10 = 90

2x = 90-10

2x = 80

x = 80/2

x = 40

which then leads to,

angle XYW = 1.25*x - 10

angle XYW = 1.25*40 - 10

angle XYW = 50 - 10

angle XYW = 40

Answer:  40 degrees

============================================================

Part J

We can subtract the result of part I from 90 degrees to get the answer

angle WYZ = 90 - (angle XYW)

angle WYZ = 90 - 40

angle WYZ = 50

Or we could plug the x value x = 40 into the expression for angle WYZ

angle WYZ = 0.75*x + 20

angle WYZ = 0.75*40 + 20

angle WYZ = 30 + 20

angle WYZ = 50

Answer:  50 degrees

============================================================

Summary:

The answers we found were

G.  54 degreesH.  126 degreesI.  40 degreesJ.  50 degrees

Answer:

G. m∠ABD = 54°

H. m∠DBC = 126°

I. m∠XYW = 40°

J. m∠WYZ = 50°

Step-by-step explanation:

∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.

[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]

m∠ABD = 1/2(68) + 20 = 34 + 20 = 54

m∠DBC = 2(68) - 10 = 136 - 10 = 126

Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.

[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]

m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40

m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50

PLEASE HELP ME! BRAINLEST IF CORRECT

Answers

Answer:

x = 147

Step-by-step explanation:

33 and x form a straight line which means they add to 180

x+33 =180

x = 180-33

x = 147

Answer:

[tex]x=147[/tex]

Step-by-step explanation:

we see that x and 33 are linear pairs so their sum is 180 degrees.

[tex]x+33=180[/tex]

Subtract :-

[tex]x=180-33[/tex]

[tex]x=147[/tex]

OAmalOHopeO

a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package

Answers

Answer:

7.20 dollars

Step-by-step explanation:

1 1/4 can be expressed as 5/4 ((1*4+1) /4)

If price of 5/4 pound of turkey = $9

Price of 1 pound of turkey = $9 / (5/4)

( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)

$9 / (5/4) = $7.2

Pleaseeeee help!!!!!

Answers

Answer:

.71

Step-by-step explanation:

We only need to look at the brown eyes row

2+2+10 =14

Brown hair is 10

P(brown hair) = brown hair / total

                        =10/14 =5/7 = .714285714

ASAP!! Photo attached

Answers

Answer:

FG = 120 cm

Step-by-step explanation:

The explanation is in the picture!

What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your
answer to the nearest thousandth.

Answers

Answer:

87.965

Step-by-step explanation:

surface area of a cylinder,

2πr²+2πrh (where r = radius, h = height)

given, h = 5, r = 2

so,

2πr²+2πrh

= 2π×2²+2π×2×5

= 8π+20π

= 28π

= 87.9645943..

= 87.965 (rounded to the nearest thousand)

A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price of the bicycle​

Answers

[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]

We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]

[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]

[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]

[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]

Hence , SP = Rs 3600

[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]

Let Marked Price [ MP ] be x.

[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]

[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]

[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]

Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)

A sum of Rs 600 amount to Rs 735 ins years at a certain rate of interest. If the rate of interest is increased by 2%. what will be the amount? ​

Answers

Answer:

the amount will 26.7 ......hope this may help you

convert 10.09% to a decimal

Answers

Answer:

0.1009

Step-by-step explanation:

To convert percentage into decimal, you need to divide the percentage by 100

10.09/100

= 0.1009

To convert 10.09% to a decimal, we need to decide it by 100 like so:

10.09 ÷ 100 = 0.1009

Therefore, the answer is 0.1009

help me please!! first write the subtraction with a common denominator then subtract

Answers

Answer:

hope it helps you

Step-by-step explanation:

pls kindly mark it brainliest answer

Answer:

[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]

Step-by-step explanation:

3/5 - 1/3

Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator

3/5 times 3/3 = 9/15

Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator

1/3 times 5/5 = 5/15

9 / 15 - 5 / 15 = 4/15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Explain how to find the middle quartile of a box-and-whisker plot.

Answers

Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.

Please help, need to find f^-1 (x)

Answers

The inverse function [tex]f^{-1}(x)[/tex] is such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Plugging [tex]f^{-1}(x)[/tex] into [tex]f(x)[/tex] gives us

[tex]f\left(f^{-1}(x)\right) = \dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x[/tex]

Solve for [tex]f^{-1}(x)[/tex] :

[tex]\dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x \\\\ 3f^{-1}(x)+3=x\left(5f^{-1}(x)+6\right) \\\\ 3f^{-1}(x) + 3 = 5x f^{-1}(x)+6x \\\\ 5xf^{-1}(x)-3f^{-1}(x) = 3 - 6x \\\\ (5x-3)f^{-1}(x)=3-6x \\\\ \boxed{f^{-1}(x)=\dfrac{3-6x}{5x-3}}[/tex]

HELP!!! ANYONE WHO'S GOOD AT GEOMETRY PLEASE HELP T_T

In the diagram, △ABC∼△PQR, mAB¯¯¯¯¯¯¯¯=2, and mPQ¯¯¯¯¯¯¯¯=5.

If the perimeter of ΔABC is 3x, what is the perimeter of △PQR?

A. 3/2x

B. 7.5/5x

C. 6x

D. 15/2x

Answers

The perimeter of △PQR is, 7.5/5x.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, Based on the given information, since △ABC∼△PQR,

we know that the corresponding sides are proportional.

Therefore, we can set up a proportion:

AB/PQ = BC/QR = AC/PR

Substituting the given values, we get:

2/5 = BC/QR = AC/PR

Since we know the perimeter of ΔABC is 3x, we can express its sides as:

AB + BC + AC = 3x

Substituting AB = 2, we get:

2 + BC + AC = 3x

Dividing both sides by 2, we get:

BC/2 + AC/2 = (3/2)x - 1

Substituting BC/QR = AC/PR = 2/5, we get:

(2/5)QR/2 + (2/5)PR/2 = (3/2)x - 1

Simplifying, we get:

QR + PR = (15/10)x - 2

Since the perimeter of ΔPQR is PQ + QR + PR, we can substitute PQ = 5, and get:

Perimeter of △PQR = 5 + QR + PR

Substituting QR + PR = (15/10)x - 2, we get:

Perimeter of △PQR = 5 + (15/10)x - 2

Simplifying, we get:

Perimeter of △PQR = (7.5/5)x - 2

Therefore, the answer is option B, 7.5/5x.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

if a = 6 b=5, then find the value (a+b)​

Answers

Step-by-step explanation:

Put the numbers as the value is given

So,

(6+5)= 11 Answer

Answer:

11

Step-by-step explanation:

(a + b) where a = 6 and b = 5

Step 1. Substitute a for 6 and b for 5

(6 + 5)

Step 2. Add

11

A cartoon has a length of 1 2/3 feet, width of 1 1/6 feet, and height of 1 1/5 feet what is the volume of the cartoon?

A: 2 cubic feet
B: 2 1/3
C: 4 cubic feet
D: 4 2/3

Answers

Answer:

B: 2 1/3

Step-by-step explanation:

Volume = length x width x height

Volume = 1 2/3 x 1 1/6 x 1 1/5

Volume = 2 1/3

A certain box has a width that is 2 inches more than its length and a height that is 5 inches less than its length. If each of the two smallest faces of the box has an area of 36 square inches, what is the volume if the box?

Answers

Answer:

V = 396 cubic inches

Step-by-step explanation:

width = w; length = l; height = h; volume = V; area of smallest face = a

base units are inches

w = 2 + l

h = l - 5

Height is smallest and length is second smallest (h = l -, l = l, w = l +), so a is for h and l.

a = h × l = (l - 5) × l

36 = l^2 - 5l ==> l^2 - 5l - 36 = 0

Factor ==> (l - 9) × (l + 4) = 0

l = 9 and l = -4

Since length cannot be negative, 9 is the only Real answer.

l = 9

h = l - 5 = 9 - 5 = 4

w = 2 + l = 2 + 9 = 11

Volume of rectangular prism/box is length times width times height.

V = l × w × h = 9 × 11 × 4 = 396

The volume of the box with the given dimensions is;

Volume = 396 in³

Let us denote the properties of the box as follows;

Length of box = l

Width of box = w

Height of box = h

Area of the smallest face of box = a  

We are told that the width is 2 inches more than the length. Thus;

w = 2 + l

We are told that the height is 5 inches less than its length. Thus;

h = l - 5

Since length is smaller than width but bigger than height, the height and length are the 2 smallest faces

Thus,

a = h × l

plugging in the relevant values gives;

a = (l - 5) × l

a = l² - 5l

We are told that the area of the two smallest faces is 36 in². Thus;

l² - 5l = 36

l² - 5l - 36 = 0

Using online quadratic equation solver, we have; l = 9 inches

Plugging in 9 for h in; h = l - 5  

h = 9 - 5

h = 4

Also, plugging in 9 for l into; w = 2 + l, we have;

w = 2 + 9

w = 11

Volume of box is given by;

Volume = length × width × height

Volume = 9 × 11 × 4

Volume = 396 in³

Read more at;https://brainly.com/question/13973603

Consider the equation:
x ^2 −4x+4=2x
1) Rewrite the equation by completing the square.
Your equation should look like (x+a)^2=b or (x-c)^2 =d

Answers

Answer:

(x-3)^2 = 5

x = 3 ±sqrt(5)

Step-by-step explanation:

x ^2 −4x+4=2x

Subtract 2x from each side

x ^2 −4x-2x+4=2x-2x

x^2 -6x +4 = 0

Subtract 4 from each side

x^2 -6x+4-4 =0-4

x^2 -6x = -4

Take -6

Divide by 2

-6/2 = -3

Square it

(-3)^2 = 9

Add to each side

x^2 -6x+9 = -4+9

(x-3)^2 = 5

Take the square root

sqrt((x-3)^2) = ±sqrt(5)

x-3 =  ±sqrt(5)

Add 3 to each side

x = 3 ±sqrt(5)

Answer:

lusing completing square metjod

x

Step-by-step explanation:

x^2_6x+(_3)^2=_4+9

(x_3)^2=5

x_3=

[tex] \sqrt{5} [/tex]

[tex]x = 3 + or - \sqrt{5} [/tex]

Find the value of x in the triangle shown below.(not a test just need help with khan academy)

Answers

Using angle sum property

[tex]\\ \sf\longmapsto x+44+29=180[/tex]

[tex]\\ \sf\longmapsto x+63=180[/tex]

[tex]\\ \sf\longmapsto x=180-63[/tex]

[tex]\\ \sf\longmapsto x=117°[/tex]

The angle sum property of a triangle:

The total measure of the three angles of a triangle is 180°

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 44 \degree \: + \: 29 \degree \: = \: 180 \degree[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 73 \degree \: = \: 180 \degree[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 180 \degree \: - \: 73 \degree \:[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 107 \degree[/tex]

⇛ Value of x is 107°

3-5n+4n=4. help please​

Answers

Answer:

n = -1

Step-by-step explanation:

3-5n+4n=4

3 - n = 4

-n = 1

n = -1

The dot plot represents a sampling of ACT scores:

dot plot titled ACT Scores with Score on the x axis and Number of Students on the y axis with 1 dot over 18, 3 dots over 19, 4 dots over 21, 4 dots over 22, 3 dots over 23, 2 dots over 24, 1 dot over 25

Which box plot represents the dot plot data?

box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
box plot titled ACT Score with a minimum of 18, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25
box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25
box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 25, and maximum of 26

Answers

The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed

The correct option for the details of the box plot that represents the dot plot data is;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

The process of deriving the five number summary of the box plot above is as follows;

Known:

The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;

18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22,22, 23, 23, 23, 24, 24, 25

The number of data points in the statistics, n = 18

Unknown:

The five number summary

Method:

Finding the five number summary as follows;

The minimum value = 18

The maximum value = 25

The first quartile, inclusive of the median Q₁ = The middle number of the lower half {18, 19, 19, 19, 21, 21, 21, 21, 22} = The (9 + 1)/2 th term

Quartile 1 = Q₁ = 5th term = 21

The second quartile, Q₂ = The median (the middle number) = (22 + 22)/2 = 22 = Quartile 2

Quartile 2 = 22

The third quartile = The middle number of the upper half {22, 22,22, 23, 23, 23, 24, 24, 25} = Quartile 3 = 23

Quartile 3 = 23

Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

Learn more about box and whiskers, and dot plots here;

https://brainly.com/question/4002977

Correct answer gets 5 stars and brainliest

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle ,we can use the Pythagorean theorem

a^2+b^2 = c^2

a^2 + 5^2 = 13^2

a^2 +25 = 169

Subtract 25 from each side

a^2 = 169-25

a^2 = 144

Taking the square root of each side

sqrt(a^2) =sqrt(144)

a = 12

2x + 6 = 0
+2−5=1+5(−5)

Answers

Answer:

x=-3

Step-by-step explanation:

2x=-6

x=-3

your answer will be x=-3

Other Questions
if stundets have given sufficient time and attention to their work,they should have increased considerably their command of English. No matter how long it may take us to overcome this premeditated invasion, the American people in their righteous might will win through to absolute victory. I believe that I interpret the will of the Congress and of the people when I assert that we will not only defend ourselves to the uttermost but will make it very certain that this form of treachery shall never again endanger us. Hostilities exist. There is no blinking at the fact that our people, our territory, and our interests are in grave danger. Which phrases from the excerpt include loaded words intended to evoke a sense of fear? Selecttwo find each rate and unit rate.a. 420 miles in 7 hours b. 360 customers in 30 daysc. 40 meters in 16 seconds d. 7.96 for 5 pounds You upgrade your office graphics workstation with more memory. You replace two of the four inexpensive memory chips with expensive memory designed for workstations but now the system occasionally has memory issues. What could be the problem HELP ME HURRY UP me please please help meno links or filesthank you !Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after one month, Jane has saved $135. Does it make sense to represent the relationship between the amount saved and the number of months with one constant rate? Why or why not? Explain your answer. The number 42 has the prime factorization 2.3.7. Thus 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors): 1.42, 2 21,3 14, and 6. 7.Required:List the distinct ways the number 770 can be written as a product of two positive integer factors. A new site offers a subscription that costs 28.50 for 6 months.what is unit rate price per month? show ur work 1:although he told lies, many people believed himDespite... Cmo puede contribuir el baloncesto a tu vida y al medio ambiente? Ayudaaa porfaa What is 7.3482 rounded to 2, 3 and 4 significant figures? How did the foreign policies of isolationism and intervention differ? Help anyone can help me do the question,I will mark brainlest. Explain how you think these symbols are related to critical thinking? Simplify. 2/ 28 thx :)) With a two dimensional surface, if we take (2, 1) as the center point and considera transformation with a rotation angle of 45, then point (3, 3) is transformedinto point (----)? computer cannot do anything without instructions true or false Three bonding pairs around a central atom results in a ________. A. octahedral B. trigonal planar compound C. tetrahedral compound D. linear compound Write a pseudocode For loop that displays all the numbers from 0 to 5, one at a time. We have the following pseudocode so far. Declare Integer number Write this statement Display number End For Type the exact text for the line of pseudocode that should replace Write this statement shown above. what are the characteristics of urban legends?