(i) Represent these two sets of data by a back-to-back stem-and-leaf diagram.

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(i) Represent These Two Sets Of Data By A Back-to-back Stem-and-leaf Diagram.-Don't Give Wrong Answers

Answers

Answer 1
Answer:

[tex]{\begin{tabular}{lll}\begin{array}{r|c|l}\text{Leaf (Ali)} & \text{Stem} & \text{Leaf (Kumar)}\\\cline{1-3} 7 & 4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 9\ 8 & 5 & 2\ 2\ 3\\ 5\ 5 & 6 & \\ 7\ 2\ 0 & 7 & 8\ 8\ 9\\ 9\ 9\ 8\ 4\ 3\ 3\ 3\ 1\ 1 & 8 & 2\ 2\ 4\ 5\\ 9\ 8\ 1 & 9 & 0\ 2\ 5\\ \end{array} \\\\ \fbox{\text{Key: 7} \big| \text{4} \big| \text{1 means 4.7 for Ali and 4.1 for Kumar}} \end{tabular}}[/tex]

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

Explanation:

The data set for Ali is

8.3, 5.9, 8.3, 8.9, 7.7, 7.2, 8.1, 9.1, 9.8, 5.8,

8.3, 4.7, 7.0, 6.5, 6.5, 8.4, 8.8, 8.1, 8.9, 9.9

which when on a single line looks like this

8.3, 5.9, 8.3, 8.9, 7.7, 7.2, 8.1, 9.1, 9.8, 5.8, 8.3, 4.7, 7.0, 6.5, 6.5, 8.4, 8.8, 8.1, 8.9, 9.9

Let's sort the values from smallest to largest

4.7, 5.8, 5.9, 6.5, 6.5, 7.0, 7.2, 7.7, 8.1, 8.1, 8.3, 8.3, 8.3, 8.4, 8.8, 8.9, 8.9, 9.1, 9.8, 9.9

Now lets break the data up into separate rows such that each time we get to a new units value, we move to another row

4.7

5.8, 5.9

6.5, 6.5

7.0, 7.2, 7.7

8.1, 8.1, 8.3, 8.3, 8.3, 8.4, 8.8, 8.9, 8.9

9.1, 9.8, 9.9

We have these stems: 4, 5, 6, 7, 8, 9 which represent the units digit of the values. The leaf values are the tenths decimal place.

For example, a number like 4.7 has a stem of 4 and leaf of 7 (as indicated by the key below)

This is what the stem-and-leaf plot looks like for Ali's data only

[tex]\ \ \ \ \ \ \ \ \text{Ali's data set}\\\\{\begin{tabular}{ll}\begin{array}{r|l}\text{Stem} & \text{Leaf}\\ \cline{1-2}4 & 7 \\ 5 & 8\ 9 \\ 6 & 5\ 5 \\ 7 & 0\ 2\ 7 \\ 8 & 1\ 1\ 3\ 3\ 3\ 4\ 8\ 9\ 9 \\ 9 & 1\ 8\ 9\\ \end{array} \\\\ \fbox{\text{Key: 4} \big| \text{7 means 4.7}} \\ \end{tabular}}[/tex]

The stem-and-leaf plot condenses things by tossing out repeated elements. Instead of writing 8.1, 8.1, 8.3 for instance, we can just write a stem of 8 and then list the individual leaves 1, 1 and 3. We save ourselves from having to write two more copies of '8'

Through similar steps, this is what the stem-and-leaf plot looks like for Kumar's data set only

[tex]\ \ \ \ \ \ \ \ \text{Kumar's data set}\\\\{\begin{tabular}{ll}\begin{array}{r|l}\text{Stem} & \text{Leaf}\\ \cline{1-2}4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 5 & \ 2\ 2\ 3\ \ \ \ \\ 6 & \\ 7 & 8\ 8\ 9 \\ 8 & 2\ 2\ 4\ 5\\ 9 & 0\ 2\ 5\\ \end{array} \\\\ \fbox{\text{Key: 4} \big| \text{1 means 4.1}} \\ \end{tabular}}[/tex]

Kumar doesn't have any leaves for the stem 6, so we will have that section blank. It's important to have this stem so it aligns with Ali's stem plot.

Notice that both stem plots involve the same exact set of stems (4 through 9 inclusive).

What we can do is combine those two plots into one single diagram like this

[tex]{\begin{tabular}{lll}\begin{array}{r|c|l}\text{Leaf (Ali)} & \text{Stem} & \text{Leaf (Kumar)}\\\cline{1-3} 7 & 4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 8\ 9 & 5 & 2\ 2\ 3\\ 5\ 5 & 6 & \\ 0\ 2\ 7 & 7 & 8\ 8\ 9\\ 1\ 1\ 3\ 3\ 3\ 4\ 8\ 9\ 9 & 8 & 2\ 2\ 4\ 5\\ 1\ 8\ 9 & 9 & 0\ 2\ 5\\ \end{array} \\ \end{tabular}}[/tex]

Then the last thing to do is reverse each set of leaves for Ali (handle each row separately). The reason for this is so that each row of leaf values increases as you further move away from the stem. This is simply a style choice. This is somewhat similar to a number line, except negative values aren't involved here.

This is what the final answer would look like

[tex]{\begin{tabular}{lll}\begin{array}{r|c|l}\text{Leaf (Ali)} & \text{Stem} & \text{Leaf (Kumar)}\\\cline{1-3} 7 & 4 & 1\ 2\ 3\ 6\ 6\ 9\ 9 \\ 9\ 8 & 5 & 2\ 2\ 3\\ 5\ 5 & 6 & \\ 7\ 2\ 0 & 7 & 8\ 8\ 9\\ 9\ 9\ 8\ 4\ 3\ 3\ 3\ 1\ 1 & 8 & 2\ 2\ 4\ 5\\ 9\ 8\ 1 & 9 & 0\ 2\ 5\\ \end{array} \\\\ \fbox{\text{Key: 7} \big| \text{4} \big| \text{1 means 4.7 for Ali and 4.1 for Kumar}} \end{tabular}}[/tex]

The fact that Ali is on the left side vs Kumar on the right, doesn't really matter. We could swap the two positions and end up with the same basic table. I placed Ali on the left because her data set is on the top row of the original table given.

The thing you need to watch out for is that joining the stem and leaf for Ali means you'll have to read from right to left (as opposed to left to right). Always start with the stem. That's one potential drawback to a back-to-back stem-and-leaf plot. The advantage is that it helps us compare the two data sets fairly quickly.


Related Questions

Find the greatest common factor of 34 and 36.

Answers

Answer:

2

Step-by-step explanation:

Factors of 34 include : 1,2,17 and 34

Factors of 36 are : 1,2,3,4,6,9,12,18,36

The only two common are 1 and 2

2 is greater tha one

So the gcf is 2.

Brainliest would be appreciated

Answer:

The greatest common factor is 2.

Step-by-step explanation:

You need to find the greatest common factor between 34 and 36.

Factors of 34: 1, 2, 17, and 34.

1*34=34

2*17=34

17*2=34

34*1=34

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Therefore, the greatest common factor of 34 and 36 is 2, which is our answer.

I hope this helps! Let me know if you have any questions.

Question
The dimensions of a cereal box are shown below.
32 cm
9 cm
21 cm
What is the volume of the box?

Answers

Answer:

6048 cm2

Step-by-step explanation:

32*9*21

Finding volume is simple as pie for a cube.

Length*Height*width

Order from least to greatest the given numbers.
-5,13,4,-10,-1
A)
-5,-1,-10,4,13
B)
-10, 4, 13,-1,-5
C)
-10,-5, -1, 4, 13
D)
-5, -10,-1, 13,4

Answers

Answer:

Option C) is correct......

Gavin needs to fill the fish tank below with water. The directions state that the water level
should be 2 inches below the top of the tank. Write an expression to show the volume of water
Gavin needs to fill the tank according to the directions.
(2x-6) inches
00
x inches
2x inches

Answers

Answer:

the volume is 300cubic inches

the expression is l x w x (h-2)

Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.

Answers

Linear Equations

Linear equations are commonly organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = the y-intercept (the value of y when x=0)

To find the equation of a line given two points:

Determine the slope of the line using the slope formulaPlug the slope into [tex]y=mx+b[/tex]Determine the y-intercept by solving for bPlug the y-intercept back into the equation

Solving the Question

We're given:

The line passes through the points (8,-45) and (2,-9)

First, determine the slope using the following formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (8,-45) and (2,-9):

[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]

Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=-6x+b[/tex]

Now, determine the y-intercept:

[tex]y=-6x+b[/tex]

⇒ Plug in one of the given points as (x,y) and solve for b:

[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]

Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:

[tex]y=-6x+3[/tex]

Answer

[tex]y=-6x+3[/tex]

Given the figure below, find the values of x and z.
120°
(9x + 30).

Answers

Answer:

z=60º, x=10º

Step-by-step explanation:

Question 1: 180º - 120º = 60º

Question 2:

(9x+30) = 120º

-30          -30

9x=90º

/9    /9

x=10º

Graph the given function by making a table of coordinates

Answers

X- (-2)(-1)(0)(1)(2) I just did this to separate the numbers by the way
Y- (0.25)(0.5)(1)(2)(4)

Hope this helps:)

Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1

Answers

Answer:

x = -5 plus/minus sqrt( 26 )

Step-by-step explanation:

Let's remember the binomial square formula

A^2 + 2AB + B^2 = (A + B)^2

We have:

x^2 + 2*5x -1

Hence, if we replace

A = x

B = 5

we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2.      [++]

Based on this reasoning, let's set f(x) = 0

x^2 +10x -1 = 0

Let's add 26 on both terms:

x^2 +10x +25 = 26

Based on [++]:   (x + 5)^2 = 26

Square root on both sides

(x + 5) = plus/minus sqrt (26)

x = -5 plus/minus sqrt (26)

Megan wants to buy a designer handbag and plans to earn the money from babysitting. Suppose the interest rate is 8% and she is willing to wait one year to purchase the bag. How much babysitting money will she need to earn today to buy the bag for $400 one year from now? (Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i.e., rounding $30.49 down to $30 and rounding $30.50 up to $31.)

Answers

Answer:

370

Step-by-step explanation:

FV = PV ( 1 + i)      i = interst in decimal

400 = PV ( 1.08)

PV = 400 / 1.08 =

Evaluate the following expression
(10 + 2) = 6 + 53

Answers

Answer:12=59

Step-by-step explanation:

HELP
10 points
And brainleist

Answers

Answer:

5 and 6 are vertical

1 and 2 are linear pair

Step-by-step explanation:

1 and 2 are linear pair because they add up to 180 degrees

5 and 6 are across from each other so they are vertical angles

The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult prefers chocolate ice cream?

A) 55/52
B) 55/54
C) 55/107
D) 55/119

Answers

Answer:

d

Step-by-step explanation:

cause this means that it is rise over run

Question 8
The Woodlands Middle School poll results show that about 79.3% of
people who prefer pizza are students and about 81% of the people
who prefer burgers are students.
Which of the following statements is true?
Pizza
There is not enough evidence to
support a relationship between lunch
preference and role at the school.
Students
Teachers
79.3%
20.7%
100%
Burgers
81.0%
19.0%
100%
Total
There is evidence to support a
relationship between lunch preference
and role at the school.

Answers

Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.

Given the 4 points below,
identify what shape is
formed and how you
found your answer.
A(-1,0), B(0, 2), C(4,0), and
D(3,-2)

Answers

basically it's a quadrilateral

hope it really helps..!!

Which pieces of information may be found on a person's credit report?

Select each correct answer.

past due bills

social security number

marital status

medical history

criminal record

mortgage payment

Answers

Answer:

Past due bills

social security number

mortgage payment

6=sqrt x^2+3-x
steps included please

Answers

Answer:

-3/2

Step-by-step explanation:

6=|x|+3-x

move the terms

-|x|+x=3-6

-|x|+x=-3

-x+x=-3 , x > 0 (put a line under >)

-(-x)+x=-3 , x < 0

-3/2 , x < 0 find the intersection

x= -3/2

if you dont want it as a fraction you can do -1.5 in decimal form

write 12/root2 + root18 in the form broot2 where b is an interger

Answers

[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]

Can someone help me please?

Answers

Answer:

Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000

Step-by-step explanation:

Hope this helped

It takes Kim 7 hours to proof a chapter of Hawkes Learning Systems' Introductory Algebra book and it takes Harding 2 hours. How long would it take them working together? (Round your answer to two decimal places.)

Answers

It would take them 4.5 hrs working together

find the binomial factor s^2+10s+25

Answers

[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]

john has 15 apples. john eats 6 apples.how many apples does john have left.

Answers

Answer:

9

Step-by-step explanation:

1
Maurice drove 48 miles north and then 36 miles west. Find the
shortest distance from the point where he ended up to his starting
point.

Answers

Answer: 60 miles

Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.

Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60

60 miles that’s the answer to the problem

Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.

Answers

Answer:

Step-by-step explanation:

Arithmetic sequence:

[tex]\boxed{a_n =a + (n-1)*d)}[/tex]

a₅ = 10    a + 4d = 10

a₆ = 8     a + 5d = 8

Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'

(I)*(-1)     -a - 4d = -10

(II)          a + 5d = 8     {Now add}

                     d = -2

Substitute d = -2 in equation (I)

 a + 4*(-2) = 10

 a -  8       = 10

           a   = 10 + 8

a =  18

a = 18 , d = -2

Sequence:  18 ,16 , 14 , 12 , 10 , ......

1. How many degrees are in this angle, which is one-fourth of the circle?

Answers

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

where do the graphs of f(x)=cos(x/2) and g(x)= sqrt2 - cos(x/2) intersect on the interval [0,360)?
(See image below for clear question and answer choices)

Answers

Answer:

  (a)  90°

Step-by-step explanation:

A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.

__

You can also determine this analytically.

  f(x) = g(x)

  cos(x/2) = √2 -cos(x/2)

  2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)

  cos(x/2) = √2/2 . . . . . . . . divide by 2

  x/2 = ±45° +360°×n . . . . . for an integer n

  x = ±90 +720°×n . . . . multiply by 2

  x = 90° is the only solution in the desired range.

Directions: Match each image of a ray with the correct way to write it.

Answers

Answer:

1 + G = Push in p To Much P

Step-by-step explanation:

g= gunnaaa 1+gunnaaa = push  ing P

find the sum of the fractions below. 5/8 + 1/n = 7/8 A. 3 B. 3 5/12 C. 3 4/9 D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

1) Subtract 5/8 from both sides.

1/n = 7/8 - 5/8

2) Simplify 7/8 - 5/8 to 1/4.

1/n = 1/4

3) Multiply both sides by n.

1 = 1/4n
4) Simplify 1/4n to n/4.

1 = n/4

5) Multiply both sides by 4.

1 * 4 = n

6) Simplify 1 * 4 to 4.

4 = n

7) Switch sides.

n = 4

Check Answer:

5/8 + 1/n = 7/8

1) Let n = 4.

5/8 + 1/4 = 7/8

2) Simplify 5/8 + 1/4 to 7/8.

7/8 = 7/8

100 PTS HELP PLS To the nearest 50 square feet, what is the area of the actual store?

Question 1 options:

2,350 square feet


2,450 square feet


2,500 square feet


2,400 square feet

Answers

Answer:

2,500 square feet is the answer

A cat eats 2/3 of a tin of cat food every day. How many tins of cat food will she eat in 1 week?

Answers

Hi :)

First, how many days are in a week?

7 days are in a weekSo 7x 2/3

First, Convert any mixed numbers to fractions.

Then your initial equation becomes:

2/3×7/1

Applying the fractions formula for multiplication,

=2×7 x 3×1

=14/3

Simplifying 14/3, the answer is

4 and 2/3

Therefor, your answer is 4 2/3

4.66 tin of cat food

Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the the origin. Where should Gabe place the bulb to ensure a perfect beam of light?
(0,1)
(0,4)
(1,0)
(4,0)

Answers

Answer:

C. (1,0)

Step-by-step explanation:

If we make use of a parabolic reflecting mirror and a light source.

Given thar the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So subject value is y2 = 4ax

4 = 4 a (1)

a = 1

So x = 1

thus focus is at (x, y) = (1,0)

Therefore, option C is correct answer.

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