what is the value of the standard score for the mean of a distribution?

Answers

Answer 1

The mean of a distribution is the average of all the values in the data set. Since the mean is the center of the distribution, any data point that is exactly the same as the mean will have a standard score of 0.

What is the value of the standard score for the mean of a distribution?

The standard score for the mean of a distribution is always 0.

The mean of a distribution is the average of all the values in the data set. It is the central point in the data set, and any data point that is exactly the same as the mean will have a standard score of 0. The standard score is the number of standard deviations that a given data point is away from the mean. Since the mean is the center of the distribution, it is always 0 standard deviations away from itself and thus has a standard score of 0.

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Related Questions

A solid cylinder has a total surface area of 231cm3. Its curved surface area is 2 3 of the total surface area. Find the volume of the cylinder

Answers

Answer:

Step-by-step explanation:

The surface area of solid cylinder = 231 cm²

and curved surface area = 2/3 * 231 cm² = 154 cm²

Now, 2πrh = 154 ...........(i)

2πrh+2πr² = 231

Subtracting, 2πr² =  231 - 154 = 77

⇒2 * 22/7 * r² = 77

⇒r² = 77*7/2*22 ⇒ 49/4 ⇒ (7/2)²

so, r = 7/2 cm

Now, from (i),

2 * 22/7 * 7*h/2 = 154

⇒22h = 154 ⇒ 154/22 = 7

and volume = πr²h = 22/7 * 7/2 * 7/2 * 7cm³ ⇒ 539/2 = 269.5 cm²

a magazine publisher mailed a survey to all of its subscribers asking if the magazine is helpful in their daily lives. of those who responded, 78% replied that the magazine was helpful. the proportion that replied that the magazine is helpful is known

Answers

The percentage of respondents who said the magazine is useful is referred to as the population parameter of interest.

Is the percentage of respondents who said the publication is useful?The percentage of respondents who said the magazine is useful is referred to as the population parameter of interest.The demographic metric of interest is the percentage of respondents who indicated that the magazine is useful.A population parameter is a metric that quantifies a population numerically or a figure that conveys information about a large group or population.the average body weight of American women in their middle years. All American women in their middle years make up the population, and the parameter is.the typical size of a butterfly. This information about the total butterfly population makes it a parameter.the class X average height. This qualifies as a parameter because it provides information about class X as a whole.The demographic metric of interest is defined as the proportion of respondents who felt the magazine is useful.

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which choices if multiplied by 0.5 would result in a rational number answer?

Answers

If the integer begins through being rational, multiplying by 0.5 would not change whether or not something is rational. It will continue with rational numbers.

What is a rational number?

In mathematics, a rational number is a number that can be written as the quotient or fraction p/q of two numbers, an integrand p and a non-zero denominator q.

For instance, −3/7 is a rational number, and so is every integer.

So, in that case, any even number would be 12 * 0.5 = 6.

The solution is reasonable because 12 began as rational (6).

Any odd number also is rational:

23 * 0.5 = 11.5

23 and 11.5: Both rational

1.818181818 is reasonable hence when multiplied by 0.5 the result will be rational 3.636363636.

Therefore, if we begin with an irrational number like π:

π*0.5: Not rational

Therefore, if the integer begins through being rational, multiplying by 0.5 would not change whether or not something is rational. It will continue rational.

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Correct question:
Which number produces a rational number when multiplied by 0.5?

! if six theta = x/4 where 0 < theta < 90 and 0 < x < 4, then cos theta =

Answers

Using Pythagoras theorem If sin tetha = x/4, then cos tetha = √(16-x²)/4

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

The sides of this triangle have been named Perpendicular, adjascent and Hypotenuse. If sin (tetha) = x/4, this means

x = opposite and

4 = hypotenuse

From hypotenuse² = opposite² + adjacent²

4² = x²+y²

y² = 16-x²

y = √ ( 16-x²)

cos (tetha) = adjacent/ hypotenuse

cos (tetha) = √(16-x²)/4

Therefore the value of cos (tetha) = √(16-x²)/4

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PLEASE HELP QUICK
A system of equations is graphed on a coordinate plane.

Which coordinates are the best estimate of the solution to the system of equations?


A. (−1, 0)

B. (−1, −1)

C. ​(1, 0)​

​D. (1, −1)

Answers

Answer: The solution of this system of equations is the point of cut of these line.

Point of cut is when x is close to -1, and y is close to 0; therefore the best estimate of the solution would be:

A) (-1,0)

We can check it out our answer solving the system of equations:

-3x+y=2

-4x+7y=1

We solve this system by substitution method.

-3x+y=2   ⇒  y=2+3x

-4x+7(2+3x)=1

-4x+14+21x=1

-4x+21x=1-14

17x=-13

x=-13/17=-0.764....≈-1

y=2+3x

y=2+3(-0.764)

y=2-2.292

y=-0.292≈0

The approximate solution will be (-1,0)

The table shows the proportional relationship between the number of tickets required per game at a carnival.


Games 4 10 16
Tickets 16 40 64


Determine the constant of proportionality.
4
6
12
24

Answers

Answer:

6

Step-by-step explanation:

all are divisible by 6 or can be added by six to get the next number

The required value of the contant of proportionality is given as 1/4.

What is proportionality?

Proportionality is described as the relationship between two or more sets of values, and whether these values are directly proportional or inversely proportionate to one other.

Here,

Let G be the number of games and T be the number of tickets,

G ∝ T

So,

G = kT

From the table,

4 = 16k

k = 4/16

k = 1/4

Thus, the required value of the contant of proportionality is given as 1/4.

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write an equation in point-slope form of each line that passes through the given points. (4, 1), (-2, 7) ​

Answers

Answer: y=-x+5

Step-by-step explanation:

On July 14, Gracie Paul accepted a $60,000, 6%, 160-day note from Mike Lang. On November 12, Gracie discounted the note at Lend Bank at 7%. What proceeds did Gracie receive? (Use Days in a year table) (Round your answer to the nearest cent. )

Answers

Therefore, Gracie will earn $61600 if she waits until December 21. However, she will earn bank discount $61132.87 on November 12.

A bank discount is interest that the bank deducts beforehand in the basic discount note. The maturity value less the bank discount equals the amount owed. The total of the principle and interest due at the conclusion of the time period is the maturity value.

Date of note = 14th July

Face value = $60000

Length of note = 160 days,

Interest rate = 6%

Calculating the interest and maturity value:

Interest  = Principal × interest × time

= 60000 × 0.06 × 160/360

= 1600

So the maturity value MV = Face value + interest

= 60000 + 1600

= 61600

2. Calculating discount period:

Note discounted on 12th November

Time till 12th November = 315 days

Time till 14th July = 194 days

So days before note is discount = 315 - 194= 121 days

Length of note = 160 days,

So the discount period = 160 - 121 = 39 days

3 - Bank discount:

Bank discount = MV × Bank discount rate × number of days bank waits till due date

= 61600 × 0.07 × 39/360

= 467.133

4 - Proceeds from bank: Proceeds = MV - Bank discount

= 61600 - 467.133

= 61132.87

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In triangle XYZ, mZZ = (5m - 15) and the exterior angle to Z measures (7m + 3). Determine the value of m.
Om=6
Om = 8.5
Om = 15
Om = 16

Answers

The value of m in the triangle XYZ is 16. option D

How to determine the value

It is important to note that the sum of angles in a triangle is 180 degrees.

From the information given, we have that;

Angle MZ is the exterior angle = (5m - 15)Angle Z is the interior angle = 7m + 3

Then we have that;

Angle MZ + Angle Z = 180

Now, substitute the values into the formula, we have;

(5m - 15) + (7m + 3) = 180°

expand the bracket

5m - 15 + 7m + 3 = 180°

collect like terms

12m - 12 = 180°

12m = 180 + 12

Add the like terms

12m = 192

Make 'm' the subject of formula by dividing both sides by 12, we get;

12m/12 = 192/12

m = 16

The value is 16.

Thus, the value is 16

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which of the following, when included, distorts the effectiveness of charting data points? a) too many series b) too many data points c) too much variance in the values of the data d) aggregates

Answers

Aggregates is distorts the effectiveness of charting data points. So the option d is correct.

In the given question, we have to select which of the following, when included, distorts the effectiveness of charting data points.

Charts are a quick and efficient way to communicate information to your audience. If the charts are properly created, that is.

A lot goes into creating the ideal visual material, and it's simple to let some components slip. Charts that are hurriedly created are frequently more detrimental than beneficial.

We've compiled a list of useful do's and don'ts to bear in mind while building your own data representations, whether they take the shape of straightforward bar charts and graphs or more intricate interactive visualizations, in order to help you prevent this.

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The table compares the average daily temperature and ice cream sales each day.


Temperature (°F) Ice Cream Sales
56.1 $107
60.3 $116
64.2 $120
66.4 $122
71.3 $125
73.9 $130
74.2 $132
75.2 $135
80.1 $141
84.8 $152


What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
6.3
4.2
2.8
1.4

Answers

Therefore, the slope of the line of best fit is 1.4.

Where do I find the average formula?

Average By adding a collection of numbers and then dividing by their count, the arithmetic mean—also known as the median—is determined. For instance, 30 divided by 6 equals 5, which is the https://brainly.com/question/24057012of 2, 3, 4, 5, 7, and 10.

To find the slope of the line of best fit, you will need to use the formula:

slope = (mean(x) * mean(y) - mean(x*y)) / (mean(x)^2 - mean(x^2))

where x represents the average daily temperature and y represents the total ice cream sales.

First, you will need to calculate the mean of x, the mean of y, the mean of x*y, and the mean of x^2.

The mean of x is (56.1 + 60.3 + 64.2 + 66.4 + 71.3 + 73.9 + 74.2 + 75.2 + 80.1 + 84.8) / 10 = 71.54

The mean of y is (107 + 116 + 120 + 122 + 125 + 130 + 132 + 135 + 141 + 152) / 10 = 128.6

The mean of xy is (56.1107 + 60.3116 + 64.2120 + 66.4122 + 71.3125 + 73.9130 + 74.2132 + 75.2135 + 80.1141 + 84.8*152) / 10 = 8707.7

The mean of x^2 is (56.1^2 + 60.3^2 + 64.2^2 + 66.4^2 + 71.3^2 + 73.9^2 + 74.2^2 + 75.2^2 + 80.1^2 + 84.8^2) / 10 = 6043.17

Plugging these values into the formula for the slope, we get:

slope = (71.54 * 128.6 - 8707.7) / (71.54^2 - 6043.17) = 1.4

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if a carpenter wants to make sure that the corner of a room is square and measures 12 ft and 35 ft along the walls, how long should he make the diagonal?

Answers

On solving the provided question, we got to know that - carpenter should make the diagonals 37 ft

What are the diagonals?

A diagonal is a line connecting two vertices of a solid or polygon whose vertices do not share an edge in mathematics. The vertices of a shape are connected by oblique or sloping lines, which are known as diagonals. A horizontal shape with sides/edges, corners, and is called a diagonal.

We can answer this problem using Pythagoras' Theorem since the diagonal would turn the angle into a right angle.

[tex]12^2+35^2= d^2[/tex]

[tex]d^2 = 144 + 1225\\d^2 = 1369\\d = 37\\[/tex]

So, carpenter should make the diagonals 37 ft

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the coast guard cutter angelica travels at 30 knots from its home port of coprus christi on a course of 95 for 2 hr and then changes to a course of 185 for 2 hr. find the distance and the bearing from the corpus christi port to the boat.

Answers

The boat's distance and bearing from the port regions are as follows;

The boat is located around 157.15 kilometers from the harbor on a bearing of 150°.

In mathematics, a bearing is an angle measured clockwise from the north or y-axis direction.

The Coast Guard cutter travels at a speed of 30 kno

Angelica, a Coast Guard cutter, has a bearing of 95 degrees.

The coast guard goes for 2 hours in the first direction.

The shift in direction of the Coast Guard cutter = 185°

Travel time in the new direction = 2 hours

30 knots equals 55.56 km/hr

The distance traveled in the first direction = 55.56 km/hr = 111.12 km in 2 hours

Distance traveled in the other direction = 55.56 km/hr 2 hours = 111.12 km

According to the accompanying graphic, the figure produced by the Coast Guard cutter's course is an isosceles triangle.

The Pythagorean theorem gives the distance from the port to the position of the boat as l = √(111.122^2 + 111.122^2) ≈ 157.15.

The boat is roughly 157.15 kilometers away from the port.

An isosceles right triangle has 45° base angles.

As a result, the bearing is 95° + 45° = 150°.

The angle between the port and the boat is 150°.

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Given the function h(t) = 5 - 3(t-2)2

Which formula gives t in terms of h

Answers

To write its equation in the form y is a(xh)2+k and then determine the value of the coefficient a.

How do you solve a parabola equation?The equation of a parabola can be found using the vertex form. If we can read the coordinates (h,k) from the graph, we may use those coordinates to write its equation in the form y=a(xh)2+k and then determine the value of the coefficient a.Assuming the given function, h(t) = 5 - 3 (t -2) h = 5 - 3 is a new equation to use when rewriting the function (t - 2) 2 H - 5 = -3 is the result of deducting 5 from both sides (t - 2) 2 (h - 5) /3 = -3(t - 2)2/3 (h - 5) /3 = (t - 2)2 is obtained by dividing both sides of the equation by (-3).        

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Suppose Juan Pablo has 6.93 kilograms of seed. If it takes 6.3 kilograms of seed to plant one hectare of land, how many hectares of land can be planted

Answers

Answer:

1.1 hectares

Step-by-step explanation:

6.93/6.3 = 1.1

He can plant 1.1 hectares of land.

Four gallons of water weigh 33.4 lb.
How much do 7.5 gallons of water weigh?

Answers

Answer:

62.625

Step-by-step explanation:

First, we divide 33.4 by 4 to see what ONE gallon weighs.
33.4/4=8.35

8.35*7=58.45+(8.35*(1/2))= 62.625

Therefore, your answer is 62.625


I hope you understand my explanation. I pride myself on making my answers, short, descriptive, yet easy to read.



please give brainliest! Thanks! Hope this helped.

Answer:

62.625 lb

Step-by-step explanation:

Define the variable:

Let x be the weight of 7.5 gallons of water (in pounds).

Set up a ratio of weight to number of gallons:

[tex]\implies x:7.5=33.4 :4[/tex]

Solve for x:

[tex]\implies \dfrac{x}{7.5 }=\dfrac{33.4}{4}[/tex]

Cross multiply:

[tex]\implies 4x=33.4 \cdot 7.5[/tex]

[tex]\implies 4x=250.5[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4x}{4}=\dfrac{250.5}{4}[/tex]

[tex]\implies x=62.625[/tex]

Therefore, the weight of 7.5 gallons of water is 62.625 lb.

A dress marked at 550 is discount at 5%. Find the discount offered and the selling price of the dress?

!!Answer fast and if u give correct answer I will mark as brainliest!!​ Answering for points will lead to a report!!

Answers

discount= 27.5

S.P= 522.5

Step-by-step explanation:

Marked price of dress(m.p)= 550

Discount % = 5%

Discount amount = 5% of MP

=5÷100×550

=27.5

S.P of the dress = ?

we know,

S.P = MP- discount

= 550-27.5

=522.5

Jose can put together a transmission in 10 hours. Luis can build the same transmission in 8 hours. How long will it take them to build the transmission together?

Answers

The total time taken to finish building the transmission if Jose and Luis worked together is 4.44 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total time required to finish building the transmission if Jose and Luis works together be = A

Now , the equation will be

The time required by Jose to build a transmission = 10 hours

The time required by Luis to build a transmission = 8 hours

If it takes one person 10 hours to build a transmission and another person 8 hours to build the same transmission , working together they could build the transmission even quicker

So ,

If Jose builds the transmission is 10 hours , he builds 1/10th of the transmission in one hour

If Luis builds the transmission in 8 hours , he builds 1/8th of the transmission in one hour

And ,

Together they build the transmission in

1/A = 1/10 + 1/8

where A is the total time required to finish building the transmission if Jose and Luis works together

So , the equation is

1/A = 1/10 + 1/8

1/A = 18/80

Taking reciprocals on both sides of the equation , we get

A = 80/18

A = 40/9

On simplifying the equation , we get

A = 4.44 hours

Therefore , the value of A is 4.44 hours

Hence , The total time taken to finish building the transmission if Jose and Luis worked together is 4.44 hours

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what is the hypotenuse?

Answers

Answer:

20

Step-by-step explanation:

h=hypotenuse. s1=side 1. s2=side 2

h^2 = (s1)^2 + (s2)^2  ==> hypotenuse formula

h^2 = 12^2 + 16^2  => plug in known values

h^2 = 144 + 256  

h^2 = 400  ==> simplify

[tex]\sqrt{h^2 = 400}[/tex]  ==> take the square root on both sides to remove the power

[tex]\sqrt{h^2}[/tex] = [tex]\sqrt{400}[/tex]

h = 20

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Find a point on the line and the line's slope.
y-5=-2/(x-3)

Answers

Answer:

Slope:  - 4/3

Point (4,1)

Step-by-step explanation:

hope this helps


Point W is located at (-2, 3) on a coordinate plane. Point W is reflected over the x-axis to create
point W. Point W' is then reflected over the y-axis to create point W". What ordered pair
describes the location of point W"?
Answer Point W" C
Explain how you determined your answer.

Answers

The required coordinate pair for W" is (2,-3)

What is reflection of the point?

When a point is reflected over axes, its position changes and sign of coordinates also change.

Given that, Point W is located at (-2, 3) on a coordinate plane. Point W is reflected over the x-axis to create point W'. Point W' is then reflected over the y-axis to create point W".

When a point is reflected over the x-axis, then we know,

(x, y) = (x,-y)

W(-2,3) = W (−2,−3)

And,

When a point is reflected over the y-axis, then we know,

(x, y) = (-x, y)

Therefore, W'(-2,-3) = W" (2,-3)

Hence, the coordinates of the point W" are (2,-3)

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The rectangular floor of a classroom is 20 feet in length and 30 feet in width.
A scale drawing of the floor has a length of 4 inches. What is the area, in
square inches, of the floor in the scale drawing?

Answers

Answer:

Area = 600

Step-by-step explanation:

The area formula for rectangles is length x width. In this equation, the length is 20 and the width is 30, multiplying them together gets us the area of 600.

X+y=0,5x+y=4 using substitution method

Answers

Answer:

(1, - 1 )

Step-by-step explanation:

x + y = 0 → (1)

5x + y = 4 ( subtract 5x from both sides )

y = 4 - 5x → (2)

substitute y = 4 - 5x into (1)

x + 4 - 5x = 0

4 - 4x = 0 ( subtract 4 from both sides )

- 4x = - 4 ( divide both sides by - 4 )

x = 1

substitute x = 1 into (1) and solve for y

1 + y = 0 ( subtract 1 from both sides )

y = - 1

solution is (1, - 1 )

Mark transferred songs from his computer onto his portable music player. He transferred 2 6/7 songs in 1 2/3 minutes. How many songs did he transfer per minute?
A. 7/12 song per minute
B. 1 5/7songs per minute
C. 2 2/3 songs per minute
D.4 16/21 songs per minute

Answers

The number of songs that he transferred per minute is 1 5/7 songs per minute (option B).

How many songs did he transfer per minute?

In order to determine the number of songs he can transfer in one minute, divide the number of songs transferred in 1 2/3 by the number of minutes.

Division is the process of determining the quotient of two or more numbers. It entails grouping a number into equal groups using another number. The sign that is used to represent division is ÷

Number of songs they want to transfer per minute = 2 6/7 ÷ 1 2/3

20 /7 ÷ 5/3

20/7 x 3/5 = 12/7 = 1 5/7 songs per minute

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Which of the following is not quadratic equation?A.8k-3=12B.9r²-25=0C.x²-5x+3=0D.(2x+5)(x-1)=-6

Answers

The equation (A) 8k-3=12 is not a quadratic equation as it is not in the form ax²+bx+c=0.

What is a quadratic equation?

A quadratic equation is any algebraic expression that can be expressed in a standard form where x represents an unknown number, a, b, and c represent known values, and where a 0 is true.

The four methods for solving a quadratic issue are factoring, using square roots, completing the square, and the quadratic formula.

Form of a quadratic equation: ax²+bx+c=0

(A) 8k-3=12

Not in form of ax²+bx+c=0.

(B) 9r2 -25 =0

In form of ax²+bx+c=0.

(C) x2 - 5x + 3 = 0

In form of ax²+bx+c=0.

(D) (2x + 5) (x - 1) = - 6​

In form of ax²+bx+c=0.

Therefore, equation (A) 8k-3=12 is not a quadratic equation as it is not in the form ax²+bx+c=0.

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what are 3 combinations of coins with the value of 30% of a dollar

Answers

The 3 combinations of coins with the value of 30% of a dollar are 2 dimes + 1 Nickel + 5 Pennies, 1 dime + 2 Nickels + 10 Pennies, 3 Nickels + 1 dime + 5 Pennies.

How many types of coins are there?

There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.

1 Quarter = 25 cent

1 dime = 10 cents

1 Nickel = 5 cents

1 penny = 1 cent

Now calculate 30 percentage of a dollar.

1 dollar = 100 cents.

30% of 100 cents = (30/100) × 100 = 30 cents.

2 dimes + 1 Nickel + 5 Pennies = 20 cents + 5 cents + 5 cents = 30 cents

1 dime + 2 Nickels + 10 Pennies = 10 cents + 10 cents + 10 cents = 30 cents

3 Nickels + 1 dime + 5 Pennies = 15 cents + 10 cents + 5 cents = 30 cents

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Which of the following is true about k-means clustering Group of answer choices A tree diagram is used to illustrate the steps in the clustering analysis We choose the value for k before doing the clustering analysis It is a type of hierarchical clustering The cluster analysis will give us an optimum value for k In a cluster analysis, the distance between the clusters should be: Group of answer choices Maximized Minimized Even Zero THANK YOU :)

Answers

Prior to performing the clustering analysis, we select the value for k, the statement regarding k-means clustering is accurate and the minimum distance between the clusters should be used.

Data is divided into groups (clusters) using cluster analysis that is relevant, practical, or both. If creating meaningful groups is the goal, the clusters should reflect the data's inherent structure. However, cluster analysis can occasionally merely serve as a valuable starting point for other tasks, including data summarization. In a wide range of disciplines, including biology, statistics, pattern recognition, information retrieval, machine learning, and data mining, cluster analysis has long been crucial, whether for understanding or usefulness. Cluster analysis has been used to solve numerous practical issues.

Hartigan (1975, pp 90-91) provides the following general guideline when determining the number of clusters. When (sum(k$withinss)/sum(kplus1$withinss)-1)*(nrow(x)-k-1) is more than 10, it is justified to add the extra group if k is the result of k-means with k groups and kplus1 is the result with k+1 groups.

As a result, choice B is the appropriate response.

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Which symbol replaces the box to make the statement true? 16÷4+12□4+24÷2

Answers

The symbol replaces the box to make the statement true that 16 ÷ 4 + 12 □ 4 + 24 ÷ 2 is an equal sign, so 16 ÷ 4 + 12 = 4 + 24 ÷ 2.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given expression:

16 ÷ 4 + 12 □ 4 + 24 ÷ 2

Here calculate the first term

16 ÷ 4 + 12 = 4 + 12 = 16

Calculate the second term

4 + 24 ÷ 2 = 4 + 12 = 16

Thus, the equal sign will replace the box,

Therefore, the symbol replaces the box to make the statement true that 16 ÷ 4 + 12 □ 4 + 24 ÷ 2 is an equal sign.

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Question 1

What is their rate of change (speed) in Section A? Remember to include units.

Question 2

What is the rate of change of (speed) in section B? Remember to included units

Question 3

What is their rate of change of (speed) in section D (hours 7-10)? Remember to include units

Question 4

During which section was the person moving at the highest speed? What was their speed? Defend your answer

Question 5

During which section did the person travel the farthest? How did they travel?

Question 6

BONUS: write a short (paragraph) scenario that tells the story about where on the graph came from. You can be as creative as you want!


Please only comment if you will give me all these answers thank you!

Answers

The rate of change or the speed of the different sections and the distance answers are below;

1) 2 m/s

2) 0 m/s

3) 3 m/s

4) Section C

5) Section A

How to solve distance time graph?

1) The formula for the slope is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Taking two coordinates in section A, we can find the slope which gives us the speed;

Speed = (50 - 0)/(25 - 0)

Speed = 2 m/s

2) Section B shows that the speed is constant and as such the rate of change of speed 0 m/s

3) Rate of change of section C is;

Speed = (80 - 50)/(70 - 60)

Speed = 3 m/s

4) The section that the person was moving at the highest speed is 3 m/s which is section C.

5) The section that the person travelled the farthest is section A which was 50 meters.

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what is the term used to denote the process that builds a regression equation one independent variable at a time, starting with the one the most highly correlated and keeping only terms with significant coefficients?

Answers

The term used to denote the process that builds a regression equation by testing one variable at a time, starting with the one which is significantly corelated and keeping only the other significant coefficients is known as stepwise regression.

What is stepwise regression?

Iteratively building a regression model step by step, stepwise regression entails choosing independent variables to be included in the final model. It entails successively introducing or eliminating putative explanatory factors and assessing statistical significance after each iteration.

Stepwise regression can be accomplished in one of two ways: either by including all potential independent variables in the model and removing those that are not statistically significant, or by attempting each independent variable one at a time and including it in the regression model if it is statistically significant.

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