Rebecca believes that the sum of 3 + (-53) is 8.9 Kenneth thinks the sum is -27. Who is correct?​

The measure of the central tendency is 67 as the data in the set are integers.

A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.

As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.

Given, A data set 70, 67, 75, 60, 67, 65.

Arranging the data set in ascending order,

60, 65, 67, 67, 70, 75.

Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.

= 67.33.

Mode of the data set 67.

So, The central tendency of the data set is 67 as the data in the set are all integers.

learn more about central tendency here :

https://brainly.com/question/26220590

#SPJ1

In the given the diagram of a circle, the measure of angle MON is 60°.

A circle is a two-dimensional shape created by a collection of points that are spaced uniformly or uniformly apart from a fixed point (centre) on the plane. The radius of a circle is the fixed distance between each point and the fixed point, which together make up the circle's origin or centre.

All angles add upto 360°

100 + 140 + ∠MOP =  360

∠MOP = 120°

Draw an imaginary straight line extending MO, making MOM'

∠QOM' = 180 - 140

            = 40 = ∠MOQ'  (vertically opposite)

Draw an imaginary straight line extending NO, making NON'

Draw an imaginary straight line extending PO, making POP'

P'OQ = 180 - 100

         = 80 = ∠Q'OP   (vertically opposite)

Draw an imaginary straight line extending QO, making QOQ'

P'OM = 60° = M'OP  (vertically opposite)

Now, ∠N'OQ = 180 - 60 - 2(40)

                     = 20°

Then, ∠P'ON' = 80 - 20

                     = 60

And ∠MON = 40 + 20

                    = 60°

Hence, In the given the diagram of a circle, the measure of angle MON is 60°.

Learn more about circle

https://brainly.com/question/29142813

#SPJ1

The Complete is showing the length of the fence and the cost.

Length of fencing  4  6      7    9  10

Cost:                       36 54  63 81  90

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Length of fencing  4  6  7  x  10

Cost:                       36 y z 81 w

Now, Using proportion

4/ 36 = 6/y

4y = 36(6)

y = 54

and, 4/36 = 7/z

4z = 36 (7)

z = 63

and, 4/36 = x /81

x = 9

and, 4/36 = 10/w

360 = 4w

w= 90

Learn more about proportion here:

https://brainly.com/question/29774220

#SPJ1

Answer:

-30+18q

Step-by-step explanation:

First, distribute the five to the terms in the parenthesis.

5x-6 and 5x4q

so -30+20q-2q

20q-2q equals 18q

so we are left with -30+18q.

Answer: Constructions A, B, and D can be accomplished with paper folding.

Construction A involves constructing a line segment of length 2 and then finding the midpoint, which can be done by folding the paper in half.

Construction B involves drawing a perpendicular line segment through a given point on a given segment, which can also be done by folding the paper.

Construction D involves drawing a perpendicular line segment from a given point to a given segment, which can also be done by folding the paper.

Construction C, drawing a line through a given point parallel to a given line, cannot be accomplished with paper folding. To do this construction, you would need a straightedge, such as a ruler.

Step-by-step explanation:

The following constructions can be accomplished with paper folding -

Constructions are accurate drawings of shapes, angles and lines in geometry. Some basic constructions -

Given is to find which of the following constructions can be accomplished with paper folding.

The following constructions can be accomplished with paper folding -

Therefore, the following constructions can be accomplished with paper folding -

To solve more questions on constructions, visit the link-

https://brainly.com/question/28983662

#SPJ5

The degree of x-x3 is 3, or 3. It is a cubic polynomial. The formula for the 33 matrix's distinctive polynomial is f() = det (A - I3).

A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients. It can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that contains variables, constants, and exponents and is based on the operations of addition, subtraction, multiplication, and division of numbers (No division operation by a variable).

[tex]x - x^3[/tex] has a degree of 3, or 3.

The polynomial is a cubic one.[tex]f() = det (A - I3)[/tex]is the formula for the characteristic polynomial of the 33 matrix.

The characteristic polynomial of the provided 33 matrix is [tex]f() = -3 + 3 + 2.[/tex]

To know more about polynomial visit :-

brainly.com/question/11536910

#SPJ4

Answer: It”ll take Emily five weeks to buy the sound system.

Answer:

5 weeks

Explanation:

Emily has already saved $74 and need to make 149 we know she makes $15 a week 15*5=75

75+74=149

so it would take 5 weeks for Emily to get a sound system.

Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

To learn more about linear equations, visit:

https://brainly.com/question/12788590

#SPJ4

Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

To learn more about linear equations, visit:

brainly.com/question/12788590

#SPJ4

Answer:

a = (13 m) / (sec^2)

Step-by-step explanation:

Force equation:  F = ma

yields a = F/m

Here F = 26 N and m = 2 kg, so

a = (26 N) / (2 kg) = (13 m) / (sec^2)

Answer:

N = Pd - 2

Step-by-step explanation:

P = N + 2/d

Pd = N + 2

Pd - 2 = N

N = Pd - 2

On solving the provided question, we can say that - the value of the linear equation is 2y+8x = 140

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, we have 2y + 8x

and x = 10 ; y = 15

2y + 8x

20 + 120 = 140

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

If the total number of minutes used and text messages sent last month was 561 , then the number of minutes she use is  207 minutes .

The total number of minutes used and text messages is = 561 ;

the cost for per minute cost is = 8 cents ;

the cost for per text message is = 5 cents ;

Bella's total bill amount is = $34.26 = 3426 cents

let the number of minutes used be = x minutes ; and

let the number of text messages be = y ;

So ,According to the question ,

the equations representing the situations are ,

[tex]x+y=561[/tex]  and [tex]8x+5y=3426[/tex]

Substituting the values of [tex]y=561-x[/tex] in the equation [tex]8x+5y=3426[/tex] ,

we get ;

[tex]8x + 5(561-x)= 3426[/tex]

On solving ,

we get ; x = 207 minutes ;

So , the number of text messages (y) = [tex]561-207[/tex]

= 354 text messages.

Therefore , the number of minutes is = 207 minutes .

Learn more about Equations here

https://brainly.com/question/29121687

#SPJ4

Therefore , the solution of the given problem of triangle comes out to be

OAC angle arc is = 55 degrees.

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

Here,

Half of the arc AB is the measure of angle OAC, hence the measure of angle OAC is:

OAC = 0.5 times 220 degrees.

110 degrees is OAC.

If the angle OAC is measured as a quarter of an arc AB, then the angle OAC is measured as follows:

OAC equals 0.25 x 220 degrees

OAC = 55 degrees

Therefore , the solution of the given problem of triangle comes out to be

OAC angle arc is = 55 degrees.

To know more about triangle, visit

brainly.com/question/2773823

#SPJ4

Answer:

the other zeros of this function are {-2, 3}

Step-by-step explanation:

Use synthetic division to find the roots.  The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:

1    /    1    -2    -5    6

               +1      -1    -6

    --------------------------

         1     -1       -6    0

Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial.  The quotient is 1x^2  - 1x  - 6, whose roots can be found either through synthetic division or factoring.  In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.

You can download[tex]^{}[/tex] the answer here

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

0.5

Step-by-step explanation:

total = 12 marbles

6/12 are red

simplify

1/2 are red

convert

0.5 probibility of picking red.

hope this helps :D

Answer:

Your answer is 50%

Step-by-step explanation:

First we have to find the total marbles. 4+2+6 = 12

After we get the total marbles we just have to divide the red marbles by the total marbles. 6/12

That comes out to be 1/2 or .5 or 50%

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᶛɲƧཡэʀ \: }[/tex]

y = (x + 1) (x - 1) (x - 3)

Use the distributive property to multiply x+1 by x-1 and combine like terms.

y = (x² - 1) (x - 3)

Use the distributive property to multiply x² - 1 by x - 3.

y = x³ - 3x² - x + 3.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

9514 1404 393

Answer:

  NO

Step-by-step explanation:

If input values are repeated, the relation is not a function. A function has only one output value for any input value.

Here, an input of 1 has 4 output values—not a function.

Answer:

[tex]\dfrac{15}{6}[/tex]

Step-by-step explanation:

3 can be represented as [tex]\dfrac{3}{1}[/tex] because any number divided by 1 is itself.

Therefore,

[tex]\dfrac{5}{6} \times 3[/tex]

can be written as:

[tex]\dfrac{5}{6} \times \dfrac{3}{1}[/tex]

To multiply these fractions, simply multiply their numerators and their denominators.

[tex]\dfrac{5 \times 3}{6 \times 1}[/tex]

[tex]\dfrac{15}{6}[/tex]

The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.

In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:

Arithmetic average = [F(x)]/n

Next, we would determine the total number of calories and then convert to ounces:

Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185

Total number of calories, F(x) = 788 calories.

Note: 1 pound = 16 ounces.

Total number of calories, F(x) = 788 calories × 16 ounces

Total number of calories, F(x) = 12,608 calories.

Now, we can calculate the arithmetic average for the number of calories per bag:

Arithmetic average = [F(x)]/n

Arithmetic average = 12,608/5

Arithmetic average = 2,521.6 ≈ 2,500.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Answer:

The Point Form is: (-2,-1)

Equation form is x= -2, y = -1

Step-by-step explanation:

Answer:

(-2, -1)

Step-by-step explanation:

both equation form:  Ax + By = C

3x - 3y = -3 - 2×(3x - 3y = -3) =  6x + 6y = 6

2x - 6y = 2 - Terms opposite =   2x - 6y = 2

( Add) - 4x = 8

divide by -4 =  x = -2

Put X value in equations 3(-2) + 3 = 3y and solve -

-6 + 3 = 3y

-3  = 3y

-1 = y

Answer=  (-2, -1)

The coordinates of the intersection of the diagonals of the parallelogram QRST is (0, 1/2)

The coordinates of the parallelogram QRST are:

Q = (-1, 3)

R = (5, 2)

S = (1, -2)

T = (-5, -1)

The diagonals of  parallelogram QRST are QS and RT.

Let M be the point of the intersection of the diagonals of the parallelogram QRST

The diagonals of a parallelogram bisect each other.

This means, M is midpoint of diagonals QS and RT.

Consider diagonal QS.

Let (x1, y1) = (-1, 3) and (x2, y2) = (1, -2)

Using midpoint formula the coordinates of M would be,

M =  ((x1 + x2)/2, (y1 + y2)/2)

M = ((-1 + 1)/2, (3 - 2)/2)

M = (0/2 ,  1/2)

M = (0, 1/2)

Therefore, the point of intersecton of QS and RT is (0, 1/2)

Learn more about parallelogram here:

https://brainly.com/question/7720055

#SPJ4

Similar

Step-by-step explanation:

The triangles are similar. They just put it upside down.

Answer:

Similar

Step-by-step explanation:

The values of x and y in parallelogram PQRS are x =2 and y = 9

From the question, we have the following parameters that can be used in our computation:

The parallelogram

On the parallelogram, we have the following readings

PT=​y, TR=4x+​1, QT=2​y, TS=5x+8

Rewrite them as

PT= ​ y

TR = 4x + ​1

QT = 2​y

TS = 5x + 8

Because the point T is the midpoint of the parallelogram, we have

PT = TR

QT = TS

Substitute the known values in the above equation, so, we have the following representation

y = 4x + 1

2y = 5x + 8

This means that

8x + 2 = 5x + 8

Evaluate the like terms

3x = 6

So, we have

x = 2

Substitute x = 2 in y = 4x + 1

y = 4 x 2 + 1

So, we have

y = 9

Hence, the values are 2 and 9

Read more about parallelogram at

https://brainly.com/question/970600

#SPJ1

Answer:

2 is the highest degree because it's the only exponent

Answer:

544

Step-by-step explanation:

You can Section the figure off into 3 and find the area of each. The sum was cut off in the image, but the total is 544 :)

Step-by-step explanation:

First, solve the volume of the solid without the groove:

V1 = (14 cm)(8 cm)(6cm) = 672 cm^3

Now solve for the volume of the groove:

V2 = (8 cm)(8 cm)(2 cm) = 128 cm^3

The volume of the block that Goran made is

V = V1 - V2 = 544 cm^3

Answer:

[tex]x=23.82^o[/tex]

Step-by-step explanation:

[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]

[tex]tan~36=\frac{225}{y}[/tex]

[tex]y=\frac{225}{tan ~36}[/tex]

[tex]y=309.6859321[/tex]

[tex]tan(x)=\frac{225}{y+200}[/tex]

[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]

[tex]x=23.81898048[/tex]

[tex]x=23.82^o[/tex]

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

hope it helps...

have a great day!!

23.82° is derived as the value of x according to nthe diagram shown.

This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.

36 = 225/y

y = 225/tan 36

  = 309.686.

tan(x) = 225 / y+200

x = tan -1 (225/309.686)

x = 23.82

Read more about Angle of elevation here https://brainly.com/question/88158

#SPJ2

Answer:

B. 3x+1

Step-by-step explanation:

(3x+3)+(2x+1)+(4x+2)=9x+6

(12x+7)-(9x+6)=3x+1