Use the stem-and-leaf plot below to find the mean, median, and mode of the data set. Round to the nearest whole
number
Stem Leaf
5 2, 2, 2.
8. 1,5,9
9. 3,4,6
1. 2,7

Answers

Answer 1

Answer:

The mean is 65.72 , median  is 81 and mode is 52  

Step-by-step explanation:

Stem         Leaf

5                2, 2, 2.

8.                1,5,9

9.                3,4,6

1.                 2,7

Number : 52,52,52,81,85,89,93,94,96,12,17

Arrange in ascending order :

12,17,52,52,52,81,85,89,93,94,96

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean =\frac{12+17+52+52+52+81+85+89+93+94+96}{11}[/tex]

Mean =65.72

[tex]Median = \frac{n+1}{2} \text{th term}=\frac{11+1}{2}=6 \text{th term} = 81[/tex]

Mode = most occurring number = 52

Hence The mean is 65.72 , median  is 81 and mode is 52  


Related Questions

A circular plate bas diameter 27cm.
Calculate the circumference of the plate​

Answers

Answer:

84.78

Step-by-step explanation:

You do 27 tomes pi(3.14)

Answer:

Circumference ≈ 84.82cm

Step-by-step explanation:

The diameter is 27cm

The equation to find circumference is (2πr)   (Two times pi times radius)

We are given the diameter, the length across entire circle through the center of the circle, but we need radius, the distance between the center point to the edge of the circle.

To get radius, you divide diameter by 2, getting 13.5.

Now, all you have to do is "plug-and-chug,"  putting 13.5 in for radius in the circumference equation. (2π13.5)

You will get Circumference ≈ 84.82

write an expression to represent the following situation:10 dollars less than catilian

Answers

Answer: c - 10

Step-by-step explanation:

Feom the question, we are told to wrote an expression that can be used to represent the following situation: 10 dollars less than catilian.

The first thing that we need to do is to represent catilian by an alphabet.

Let catilian be denoted by c.

Since we are told that 10 dollars is less than catilian. The expression will be:

= c - 10

Meredith has two different‐sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains 6.8 ounces of trail mix. Which bag contains more trail mix? Why?

Answers

Answer:

The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.

4(3x+7)=16
correct answer
no cap...

Answers

Answer:

x=-1

Step-by-step explanation:

12x+28=16

-28 on both sides

12x=-12

x=-1

How many bases [tex]$b$[/tex] are there such that [tex]$663_b$[/tex] is prime?

Answers

Answer:

  none

Step-by-step explanation:

We assume you intend positive rational bases.

[tex]663_b[/tex] is divisible by 3, so cannot be prime.

What are the fourth roots of 6+6√(3i) ?

Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure.



( )cis( )

( )cis( )

( )cis( )

( )cis( )



hello! I've tried looking up videos on how to do this, but I'm very confused as there aren't any that look quite like the one I was given. If someone could help, I'd appreciate that so much!

I can figure out the roots in order of increasing angle measure, so no worries about that, I know how to do that:)

Answers

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

Given thr complex number z = 6+6√(3)i

r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

∅ = arctan 6√3/6

∅ = arctan √3

∅ = 60°

In polar form, z = 12(cos60°+isin60°)

z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

60f=86 and I need to divide 60 from both sides but I don’t know how

Answers

Answer:

f = 43/40 or 1 13/30

Step-by-step explanation:

60f=86

Divide each side by 60

60f/60=86/60

f = 86/60

Divide the top and bottom by 2

f = 43/30 or as a mixed number 1 13/30

I hope this helps. It includes a vague description.


What is the measurement of angle 1 if angle 6 equals 62

Answers

Answer:

1 = 118 degrees

Step-by-step explanation:

Since a straight line is 180 degrees take

180 - 62 = 118 degrees

(Even though the line is slanted it still equals 180 degrees).

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = -1. If the area of triangle ABC is 6 square units, then find a possible y-coordinate of point C. Options: 5 6 7 8

Answers

Answer:

The possible y-coordinate of point C is 6

Step-by-step explanation:

The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.

Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.

The area of a triangle = 1/2 × base × height

6 = 1/2 × 3 × height

height = (2 × 6) / 3 = 4 units

Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2

The coordinate of point C is either (-1, 6) or (-1, -2)

The coordinate of point C is either (-1, 6) or (-1, -2)

Area of triangles and coordinates

The formula for calculating the area of a rectangle is expressed as;

A = 0.5bh

where:

b is the base of the triangleh is the height of the triangle;

Get the height of the triagle:

6 = 0.5(3)h

6 = 1.5h

h = 6/1.5

h = 4 units

Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2

Hence the coordinate of point C is either (-1, 6) or (-1, -2)

Learn more on area of triangle here: https://brainly.com/question/17335144

The figure below shows a right rectangular prism whose base is a 2x2 square and whose height is 4.Which shape does the intersection of the vertical plane with the prism look like?

Answers

Answer:

rectangle

Step-by-step explanation:

The equation 1/x=0 has no solution. True or False

Answers

Answer:

True

Step-by-step explanation:

1/x = 0

x(1/x)=(0)x

1 isn't equal to 0

1 / cosec A -1 - 1 / cosec A + 1​

Answers

Answer:

Given expression is [tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}[/tex] = 2tan²A

We have to prove this identity.

[tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}=\frac{(\text{cosecA+1})-(\text{cosecA-1})}{(\text{cosecA-1})(\text{cosecA+1})}[/tex]

                              = [tex]\frac{(\text{cosecA}-\text{cosecA})+(1+1)}{cosec^2A-1}[/tex]

                              = [tex]\frac{2}{cosec^{2}A-1}[/tex]

                              = [tex]\frac{2}{cot^{2}A}[/tex] [From the identity, (cosec²A - 1) = cot²A]

                              = 2tan²A [From the identity, cotA = [tex]\frac{1}{\text{tan}A}[/tex]]

Hence the given equation is proved.

En una empresa en las que 28 personas, de estas las 3/4 partes son varones. ¿Cuantas personas son mujeres?

Answers

Answer:

4 mujeres en la empresa

Step-by-step explanation:

Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!

Answers

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16  = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x     2-4 =x

6 =x           -2 =x

since time cannot be negative

x=6

Solve for n.
11(n — 1) + 35 = 3
On = 6
0 1 = -3
On = 3
On= 6

Answers

Answer:

n = -21/11

Step-by-step explanation:

11(n - 1) + 35 = 3

Expand the brackets.

11n - 11 + 35 = 3

Add the terms -11 and 35.

11n + 24 = 3

Subtract 24 on both sides.

11n = 3 - 24

Subtract.

11n = -21

Divide 11 into both sides.

n = -21/11

Answer:

[tex]n = - \frac{21}{11} \\ [/tex]

Step-by-step explanation:

[tex]11(n - 1) + 35 = 3 \\ 11n - 11 + 35 = 3 \\ 11n + 24 = 3 \\ 11n = 3 - 24 \\ 11n = - 21 \\ \frac{11n}{11} = \frac{ - 21}{11} \\ n = - \frac{21}{11} [/tex]

The segments shown below could form a triangle true or false?

Answers

Answer:

false

Step-by-step explanation:

i got it right

Answer:true

Step-by-step explanation:

is true if you don’t believe me check the picture

Which of the following are solutions to the equation below? Check all that apply. x2 + 3x - 10 = 0

Answers

Answer:

x = 2x = -5

Step-by-step explanation:

[tex]x^{2} + 3x - 10 = 0\\a *c = 1*-10=-10\\Find-factors-when-they- are -added= 3x -and-when-multiplied=-10\\Factors = -2x, and 5x\\x^{2} -2x+5x-10=0\\x(x-2)+5(x-2)=0\\(x-2)(x+5)=0\\(x-2)=0 ,or, (x+5)=0\\x = 0+2 , or, x =0-5\\x = 2 \\x =- 5[/tex]

The solutions to the given quadratic equation x² + 3x - 10 = 0 are x = 2 and x = -5.

The quadratic equation is given as follows:

x² + 3x - 10 = 0

To solve the equation x² + 3x - 10 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the equation in the form ax² + bx + c.

Here, a = 1, b = 3, and c = -10, so we have:

x = (-3 ± √(3² - 4(1)(-10))) / 2(1)

x = (-3 ± √(49)) / 2

x = (-3 ± 7) / 2

So, the solutions are:

x = (-3 + 7) / 2 = 2

x = (-3 - 7) / 2 = -5

Therefore, the solutions to the equation x² + 3x - 10 = 0 are x = 2 and x = -5.

Learn more about quadratic function here:

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a man climbs on to a wall that is 4.5m high and gains 2450j 0f potential energy.what is the mass of the man?

Answers

Answer:

55.5 kg.

Step-by-step explanation:

Potential energy =  mgh

= m * 9.81 * 4.5 = 2450    where m  is the mass of the man.

m = 2450 / (9.81* 4.5)

= 55.5 kg.

Please help me I really need help please help me

Answers

Answer:

2.25 +3/4x = y

Step-by-step explanation:

2.25 +3/4x = y

The mass of a sample of the chemical element einsteinium-253253253 after it is initially measured is represented by the following table:
Time (weeks) Mass (grams)
000 400400400
333 201201201
666 989898
999 505050
121212 242424
151515 121212
Which model for M(t)M(t)M, left parenthesis, t, right parenthesis, the mass of the sample ttt weeks after it's initially measured, best fits the data?

Answers

Answer:

-23.99048X + 310.7619

Step-by-step explanation:

Given the following :

Time(weeks) - - - mass(grams)

0 - - - - - - - - - - - - - 400

3 - - - - - - - - - - - - - 201

6 - - - - - - - - - - - - - 98

9 - - - - - - - - - - - - - 50

12 - - - - - - - - - - - - 24

15 - - - - - - - - - - - - 12

Using the regression calculator, the model for Mass(time), which best fits the data is represented by the equation:

ŷ = -23.99048X + 310.7619

Where, - 23.99044 is the slope or gradient

X is the time(t)

y is the Mass

310.7619 is the intercept. Point where the graph crosses the y-axis.

Answer:

M^t=400•(0.79)^t

Use the drawing tool(s) to form the correct answer on the provided graph.

Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of this function: (WILL GIVE THE RIGHT ANSWER BRANLIEST)


h(x) = (x − 1)2 − 9.

Answers

Answer:

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

Step-by-step explanation:

Quadratic function to be graphed is,

h(x) = (x - 1)² - 9

By comparing this equation with the vertex form of the parabola,

f(x) = (x - h)² + k

here (h, k) is the vertex of the parabola.

Therefore, vertex of the parabola to be graphed will be (1, -9)

Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

Axis of symmetry of the parabola,

x = 1

For x-intercepts,

(x - 1)² - 9 = 0

(x - 1)² = 9

(x - 1) = ±3

x = 1 ± 3

x = -2, 4

Points of x-intercepts will be (-2, 0), (4, 0).

For y-intercepts, (x = 0)

h(x) = (0 - 1)² - 9

      = 1 - 9

      = -8

So the point of y-intercept will be (0, -8).

Answer:

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

See the attached graph of what it should all include and look like for Plato/Edmentum users

Step-by-step explanation:

c. When a rational and an irrational number are added, is the sum rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

example: rational=½=0.5

irrational=3.1428571…

0.5+3.1428571

3.6428571.....

It is irrational because it cannot be changed into fraction form

Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.

Answers

Answer: B

[tex]=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}1&3\\ -2&5\end{pmatrix}\begin{pmatrix}-2&1\\ 3&4\end{pmatrix}=\begin{pmatrix}1\cdot \left(-2\right)+3\cdot \:3&1\cdot \:1+3\cdot \:4\\ \left(-2\right)\left(-2\right)+5\cdot \:3&\left(-2\right)\cdot \:1+5\cdot \:4\end{pmatrix}=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]

Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!

Answers

Answer: 1. a

2. -75

Step-by-step explanation:

Answer:

1.A 2.-75

Step-by-step explanation:

I solved it and got those awnsers

0÷x=0 Please help me!!!!

Answers

This is true because if you multiply 0 by 0, the answer would be 0, and also if you divide 0 by 0 it would give you an answer of 0

What are the zeros of the function?

f(x)=x3−2x2−3x

A. −1, 0, and 3

B. −3, 0, and 2

C. −2, 0, and 3

D. −3, 0, and 1

Answers

Answer:

D

Step-by-step explanation:

Find the simple interest for 3 years at a rate of 7.5% on $200

Answers

Answer:$45

Solution,

Principal (P)=$200

Time(t)=3 years

Rate(R)=7.5%

Now,

Simple Interest=PTR/100

=200*3*7.5/100

=4500/100

= $45

Hope it helps

good luck on your assignment

Andrew is trying to create a number puzzle for his younger sister to solve. He challenges his sister to find the mystery number. “When 4 is subtracted from half of a number the result is 5.” The equation to represent the mystery number is 1/2−4=5.
Andrew’s sister tries to guess the mystery number.

a. Her first guess is 30. Is she correct? Why or why not?


b. Her second guess is 2. Is she correct? Why or why not?
c. Her final guess is 4 1/ 2. Is she correct? Why or why not?

Answers

None of these guesses are correct.

Let's work this problem in reverse.

Try it this way.

1/2x-4=5

This is actually quite simple to solve.

Because half of x minus 4 will equal 5, we just need to add 4 and 5 to get half of our mystery number. 4+5=9. So, 9 is half of x. Add 9 to 9 to get our mystery number, which is 18.

30 is not correct because Half of 30 is 15, and 15-4 is 11, not 5.

2 is also not correct because half of 2 is one, and 1-4 is -3, not 5.

4 1/2 is not correct as well because half of 4 1/2 is 2 1/4, and 2 1/4-4 is -2 1/2, not 5.

Hope this helped!

None of her guesses are correct. “When 4 is subtracted from half of a number the result is 5.” The number should be 18.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

When 4 is subtracted from half of a number the result is 5.”

Let the number be x

x/2-4=5

We need to find the value of x

x/2=5+4

x/2=9

x=18

a. Her first guess is 30. Is she correct

No, the number should be 18 not 30 because half of 30 is 15 and when we subtract 4 from 15 we get 11

b. Her first guess is 2. Is she correct

No, the number should be 18 not 2 because half of 2 is 1 and when we subtract 4 from 1 we get -3.

Even 4 1/ 2 is not correct hence 18 is not correct.

Hence, none of her guesses are correct.

To learn more on Equation:

https://brainly.com/question/10413253

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A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house’s value increase in dollars? What is the current value of the house?

Answers

Answer:

Increase in value: $20650

Current house value: $315650

80,+84, +82, +79, +72, +97, +89, +97, +88, +79, +86, +90, +87 =

Answers

Answer:

1110

Step-by-step explanation:

Coz I solved it

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