Which of the data sets below has a total of 7 data points (observations)? A) 18, 91, 93, 55, 57, 18 B) 25, 26, 28, 91, 18 C) 9, 12, 8, 5, 12, 9,7 D) 7,5, 9, 11, 13, 4, 9, 18 E) 95, 91, 87, 99, 95, 84, 77

let other one be (x,y)

We know midpoint formula

\(\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}\)

\(\\ \sf\longmapsto (6,-4)=\left(\dfrac{13+x}{2},\dfrac{-2+y}{2}\right)\)

\(\\ \sf\longmapsto \dfrac{13+x}{2}=6\)

\(\\ \sf\longmapsto 13+x=12\)

\(\\ \sf\longmapsto x=12-13\)

\(\\ \sf\longmapsto x=-1\)

And

\(\\ \sf\longmapsto \dfrac{-2+y}{2}=-4\)

\(\\ \sf\longmapsto -2+y=-8\)

\(\\ \sf\longmapsto y=-8+2\)

\(\\ \sf\longmapsto y=-6\)

Answer:

(- 1, - 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) ) ← midpoint formula

Use this formula on the endpoints and equate to the coordinates of the midpoint.

let the other endpoint = (x, y) , then

\(\frac{13+x}{2}\) = 6 ( multiply both sides by 2 )

13 + x = 12 ( subtract 13 from both sides )

x = - 1

\(\frac{-2+y}{2}\) = - 4 ( multiply both sides by 2 )

- 2 + y = - 8 ( add 2 to both sides )

y = - 6

The coordinates of the other endpoint are (- 1, - 6 )

Answer:

72

Step-by-step explanation:

To create a frequency polygon calculate the midpoint,  locate the midpoints and connect them with lines.

A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.

So, we must determine the midpoint or average of the range for each category.

0 < t < 10 = 5

10 < t < 20 = 15

20 < t < 30 = 25

30 < t < 40 = 35

2. Add a point where the data of the axis Y and X form an intersection.

3. Connect the points.

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Answer:

B.3x+8=66

Step-by-step explanation:

i think ito po Ang answer hehehe

Part A

x = some unknown number

x+8 = add on 8 to the number

3(x+8) = triple the previous result

Therefore, one equation to set up is 3(x+8) = 66

This is the same as 3x+24 = 66 because 3(x+8) = 3x+3*8 = 3x+24. Use the distributive property to multiply that outer 3 to each term inside.

C)  3x+24 = 66

D)   3(x+8) = 66

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

Part B

Let's solve for x. I'll show the steps for each equation mentioned. When you write out the steps, you probably only need to pick one equation to solve.

3(x+8) = 66

x+8 = 66/3

x+8 = 22

x = 22-8

x = 14

Or

3x+24 = 66

3x = 66-24

3x = 42

x = 42/3

x = 14

Either way, we get the same x value. To confirm this answer, replace x with 14 in either equation and simplify fully. You should get 66 on both sides.

Using the formula of amount compounded continuously,

Time required is 17.3 years

What is compound interest?

If the principal on a certain rate over a certain period of time increases exponentially, rather than linearly, the interest is called compound interest.

If the principal is P, rate is r% and time is t years, then amount can be calculated by the formula

\(A = P(1 + \frac{r}{100})^n\)

Here,

Let the time be t years

Principal = $9500

Amount = $\(9500 \times 2\)= $19000

Rate = 12%

\(19000 = 9500\times e^{\frac{4} {100} \times t}\\e^{0.04t} = \frac{19000}{9500}\\e^{0.04t} = 2\\0.04t = ln 2\\t = \frac{1n2}{0.04}\\\)

t = 17.3 years

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Answer:

awnser is b dived by a plus k

The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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Answer:

The second one

Step-by-step explanation:

Line segment BC will be an image of side AD using only a translation.

Option 2 is true.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A figure ABCD is a square.

Now,

Since, ABCD is a square.

So, All sides of square ABCD are equal to each other.

Since, A translation occurs when a figure is moved from one location to another location without changing its size or shape.

Thus, Line segment BC will be an image of side AD using only a translation.

Therefore, Line segment BC will be an image of side AD using only a translation.

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The volume of a globe is the amount of space that is enclosed within the sphere that makes up the globe.

It is calculated by using the formula for the volume of a sphere, which is \((4/3)\pi r^3\) , where r is the radius of the sphere.

The formula takes into account the fact that a sphere is a three-dimensional object with a curved surface. The volume of a globe is important in a variety of fields, including mathematics, physics, and geography. It can be used to calculate the amount of material needed to create a globe, or to estimate the amount of water that can be held in a spherical tank. The volume of a globe is the amount of space that is enclosed within the sphere that makes up the globe.  The formula takes into account the fact that a sphere is a three-dimensional object with a curved surface.

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The complete question is :

Please explain Volume of Globe in English language.

The statement which is true for all the functions is The graph of -f(x) is the graph of f(x) reflected over the y-axis so, option D is correct.

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected."

Here, the function is f(x) so when we multiply it by the negative number then the graph will reflect over the axis,

Thus, The graph of -f(x) is the graph of f(x) reflected over the y-axis.

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Answer:

hypotenuse

Step-by-step explanation:

When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.

When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.

Answer: The blank would be hypotenuse if I’m not mistaken!

The length of midpoint AM is 21 and AB is 42.

The midpoint is the point that divides a line or segment into two same or equal sections. When a line has length A and the midpoints should be :

A/2

From the question we know that :

M is the midpoint of AB

AM = 3x + 3

AB = 8x - 6

By applying the midpoint rule, we get

AM = 1/2 (AB)

3x + 3 = 1/2 (8x - 6)

3x + 3 = 4x - 3

4x - 3x = 3 + 3

x = 6

Substitute the x value to AM and AB

AM = 3x + 3

AM = 3(6) + 3

AM = 18 + 3 = 21

AB = 8x - 6

AB = 8(6) - 6

AB = 48 - 6 = 42

Hence, the length of midpoint AM is 21 and AB is 42.

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Answer:

Am=21

Step-by-step explanation:

Proved that angle 2 is congruent to angle 4 (∠2 ≅ ∠4).

To proof:

Given:

This proof includes definitions of congruence and supplementary angles, as well as some equality properties.

Therefore, the proving is shown.

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The correct question is given below;
Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 4.

Answer:

Step-by-step explanation:

You want two unit vectors that make an angle of 60° with v(6, 8).

After we normalize v to a unit vector, we can find the two desired vectors by adding or subtracting 60° from its angle. The normalized vector v is ...

  v = (6, 8)/√(6² +8²) = (3/5, 4/5)

This can be rotated 60° CCW by the transformation ...

  (x, y) ⇒ (x·cos(60°)-y·sin(60°), x·sin(60°)+y·cos(60°)) = (x-y√3, x√3+y)/2

  (3/5, 4/5) ⇒ ((3-4√3)/10, (3√3+4)/10) . . . . 60° CCW from v

It can be rotated 60° CW by the transformation ...

  (x, y) ⇒ (x·cos(60°)+y·sin(60°), -x·sin(60°)+y·cos(60°)) = ((x+y√3, -x√3+y)/2

  (3/5, 4/5) ⇒ ((3+4√3)/10, (4-3√3)/10)

__

Additional comment

When the vector is written as a complex number, it can be rotated by multiplying by 1∠±60° = (cos(60°)±i·sin(60°). That is what the calculator did.

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Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

The two numbers that satisfy both conditions are from quadratic equation :x =

1) -10/3, y = ±(10√7)/3

2)x = 10/3, y = ±(10√7)/3.

Let's denote the two numbers as x and y. We are given the following information:

1. The sum of their squares is 100: x^2 + y^2 = 100.

2. The square of the larger number is equal to the sum of the product of the larger number and four times the smaller number and eight times the larger number: y^2 = x(4y + 8x).

To solve this problem, we can start by simplifying the second equation. By expanding the equation, we get:

y^2 = 4xy + 8x^2.

Now, we can substitute this equation into the first equation to eliminatey:

x^2 + (4xy + 8x^2) = 100.

Combining like terms, we have:

9x^2 + 4xy - 100 = 0.

To find the values of x and y that satisfy this equation, we can use various methods such as factoring, completing the square, or the quadratic formula. In this case, let's solve it by factoring.

Factoring the quadratic equation, we get:

(3x + 10)(3x - 10) = 0.

Setting each factor equal to zero, we have two possibilities:

1. 3x + 10 = 0, which gives x = -10/3.

2. 3x - 10 = 0, which gives x = 10/3.

Now that we have the values of x, we can substitute them back into one of the original equations to find the corresponding values of y. Let's use the first equation:

For x = -10/3, we have (-10/3)^2 + y^2 = 100. Solving this equation, we find y = ±(10√7)/3.

For x = 10/3, we have (10/3)^2 + y^2 = 100. Solving this equation, we find y = ±(10√7)/3.

Therefore, the two numbers that satisfy both conditions are:

1. x = -10/3, y = ±(10√7)/3.

2. x = 10/3, y = ±(10√7)/3.

These are the two sets of numbers that meet the given conditions.

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Answer:

2

Step-by-step explanation:

so what you gotta do is you have to find the difference between the y an x values, 14 and 12 is 2 and -6 and -5 is 1. then you do change in y/change in x. you get 2. hope it helps.

Answer:

slope=2

Step-by-step explanation:

To find the slope pick any two rows on the table and plug their values into this formula for slope. Attached is an image of my work.

PN = LO

__________________________

(LO)^2 = (LN)^2 + (NO)^2

(LO)^2 = 6^2 + 8^2

(LO)^2 = 36 + 84

(LO)^2 = 100

LO = √100

LO = 10

__________________________

Thus :

PN = 10

Step-by-step explanation:

So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well.  LO and PN are also equal.

We can see that PN is the hypotenus of either triangle NLP or NOP.  LO is the hypotenuse of LOP and LON, so those could be used to find the length as well.  I rather work with NOP, but any work.

We know that NO is 8 units long and LN is 6 units long.  Because LN = PO, PO = 6 units.

So, using the pythagorean theorem, the hypotenuse is:

8^2 + 6^2 = c^2

64 + 32 =c^2

sqrt(96)=c

c~9.8

I don't know how exact they want your answer.

c = 9.79795897113

Answer:

Step-by-step explanation:

12x-34

Add all the sides together

2(x+3) + 6x + 4(x – 10)

distribute:

2x+6 + 6x + 4x-40

and add:

12x-34

The correct answer is B

Answer:

2,210

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

If you just try multiplying with every number, you'll eventually find the right one.

Since all angle measures in a triangle MUST equal 180°, we can set up an equation to solve for x.

\(13x + 2 + 5x - 7 + 3x - 4 = 180\\\\21x - 9 = 180\\\\21x = 189\\\\x = 9\)

Our answer is x = 9.

Answer:

X=4 and y=4

Step-by-step explanation:

Equate the corresponding coordinate and solves it simultaneously

Step-by-step explanation:

one side.

as each tile is guaranteed an equilateral triangle, all sides are equally long. measuring 1 side clarifies therefore the overall size of the tile.

the angles are the same in any case, as every equilateral triangle (no matter its size) has only angles of 60°.

so, if any side has the same length as the side lengths of the other triangles, then the checked triangle is congruent with the others.

Answer:

O 6x5/5x

Step-by-step explanation:

Answer:

It should be D. I'm not 100% sure though. But D is what I chose.

Answer:

-42(x - 2) and -6(7x - 14)

Step-by-step explanation:

Answer:

She will make 33 hair ribbons on Thursday

Step-by-step explanation:

Each day, 6 extra hair ribbons are made. This pattern supposedly continues.

Hope this helps! :)