Without making any calculations, which data set has the smallest standard deviation? 1, 1, 2, 2, 3, 3 1, 3, 5 0, 1, 5, 6, 9, 10 1, 1, 1, 1, 2, 2, 2, 2

-14 is the 81th term.

The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.

To confirm : 2 1/5 - 2 = 1/5

The linear equation that can be used to determine the position of a number is:

2 1/5 - 1/5(x)

Where x is the position of the number

For example, the third number is

2 1/5 - 1/5(3)  = 1 4/5

Given the number, the position of the number can be determined using the above linear equation:

-14 = 2 1/5 - 1/5(x)

In order to determine the value of x, take the following steps:

Multiply through by 5

(-14 x 5) = (11/5 x 5) - (x / 5 x 5)

-70 = 11 -x

Combine similar terms: 70 + 11 = x

Add similar terms: x = 81

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Answer:

12

Step-by-step explanation:

There are 12 1/2's in 6.

To find how many 1/2's there are in 6, you have to divide 6 by 1/2.

6 ÷ 1/2

To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).

6/1 × 2/1

6 × 2

= 12

Have a lovely rest of your day! :)

The correct option is (b) sample size.

In the formula for calculating the standard deviation, the letter n represent  sample size.

What is standard deviation?

Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.

Some key features regarding the standard deviation are-

A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:

Standard Deviation = [tex]\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }[/tex]

Where,

[tex]x_{i}[/tex]= value of the i th point the the given data set.

[tex]barx[/tex]= mean value

n = total number of data points.

Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.

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Based on the information above, it can be inferred that the diver is at a depth of 36 ft below water level.

To calculate the final elevation of the diver we must take into account the depth at which he was at the beginning and the changes he made in his position.

To calculate his current position we must subtract the number of feet he ascended from the number of feet he was at at the beginning:

Based on the above, it can be inferred that when the diver ascended to see a school of fish, he was 36 ft below the surface of the water.

Note: This question is incomplete because there is some information missing. Here is the complete information:

A scuba diver is swimming at an elevation of 52 feet below sea level. She sees a school of fish and rises 16 feet to watch the fish. What is her elevation now? A fish swims 27 feet below.

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Answer:

Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent on hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 money than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.

Answer:

The type of polygon that is formed is a Hexagon because of its 6 sides.

Step-by-step explanation:

When you graph all of these points into a coordinate grid it should look like this:

Coordinates of the point that partitions the line into the given ratio is; (1, 5)

If the ratio dividing a line segment represents a:b, then the formula to divide  the line segment is;

Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}

From our question, we have the ratio as;

1:2. Thus; a = 1 and b = 2

Our coordinate of CD is; C(-1,7) and D(5, 1)

Thus;

x₁ = -1

x₂ = 5

y₁ = 7

y₂ = 1

Coordinates of the point that partitions the line into the given ratio is;

Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}

Coordinate = (3/3, 15/3) = (1, 5)

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Step-by-step explanation:

or,(-6)=3(3-2x)

or,(-6)=9-6x

or,-6-9=-6x

or,-15=-6x

or,-15+6=x

or,-9=x

x=-9

The number of miles in a day at which the rental costs for Company A and Company B are the same will be 10 miles.

Let the number of miles be represented by x.

Therefore the equation for the first company will be 90 + 0.4m

The equation for the second company will be 60 + 0.7m

Therefore, we will equate them. This will be:

90 + 0.4m = 60 + 0.7m

Collect like terms

90 - 60 = 0.7m - 0.4m

0.3m = 30

m = 30/0.3

m = 10

The number of miles will be 10 miles.

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Answer: The height of the tree is 35.4 ft.

Step-by-step explanation:

14.16/1.2 = 11.8

3 * 11.8 = 35.4

Answer:

16 each

Step-by-step explanation:

Since you didn't say how much of the yield Jacob gave to the restaurant or the neighbor, I'm going to assume he kept an even share and gave them each the same share.

Assuming that, we would have to divide his harvest by 3

48/3 = 16

this means that 16 went to his neighbor, 16 to the restaurant and 16 were saved for himself.

Hope this helps! ^^

Answer: Equation using slope intercept from y= -(5/2)x +26

Step-by-step explanation:

Write an equation of the line (in slope-intercept form) that is perpendicular to the line y=(2/5)x-(1/5) and contains the point (-4,16).

The line given is y=(2/5)x-(1/5)

Which we can rewrite in y= mx+b form as

y=(2/5)x-(1/5)

So slope of this line is (2/5)

A line perpendicular will have slope = -(5/2) ,  Which is (1/m)

Equation of new line will be

y = -(5/2)x +b

Now we need to find b

Plug in Point (-4,16)

Replace with the (-4,16) values

16 = (5/2) (-4) +b

solve it, 16=(-10)+b

16+10=b

b=26

Equation using slope intercept from y= -(5/2)x +26

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Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.

Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.

There are three types of descriptive statistics-

Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

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Each student on average has 6 books.

To find how many books on average each student has:

Therefore, each student on average has 6 books.

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Scale factor for the drawing from actual park = 1/20

Area of the actual park = 1200 cm²

Area of a Rectangle. A = l × b. The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = Length of the park in drawing/ actual length of park

⇒1/20.

5/actual length of park = 1/ 20

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

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Number of At-the-Door tickets Anna needs to sell to make her goal = 100

Anna is selling pre-sale and at-the-door tickets.

Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.

Price of a pre-sale ticket = $10

Price of an at-the-door ticket = $20

Total price to be raised = $5000

So the equation corresponding is 10x+20y = 5000-----------(1)

Total number of people the venue can hold = 400

Thus the next equation is x+ y = 400---------(2)

From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.

The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.

So to find x and y we need to solve equations (1) and (2).

10 x (2) ⇒ 10x+10y = 4000-------(3)

Now subtract (3) from (1)

⇒ 10y = 1000

⇒ y = 100

Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100

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The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

Given the 2 equations,

1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

Equation 1

⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }

⇒[tex]3^{2}[/tex]-1

⇒9-1

⇒8

Equation 2

⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

⇒3(-3)+4[tex](5)^{2}[/tex]  {substituting x=-3 and y=5 }

⇒-9+4(25)

⇒-9+100

⇒91

Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

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Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

2 ( [tex]\frac{1}{3^2}[/tex] )

= 2 ( [tex]\frac{1}{9}[/tex] )

= 2 × [tex]\frac{1}{9}[/tex]

= [tex]\frac{2}{9}[/tex]

The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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Answer:

እሺ እሺ አትጨነቅ ከፈለገ አይነግረኝም።

Joann worked for  64 hours in week.

Let the number of hours she work be x. The payment for first 35 hours will be added with the multiple of number of extra hours and payment for the same.

Forming the equation according above mentioned statement :

13 + 19.5x = 572

Solving the equation to find the number of hours worked by Joann

Shifting 13 to Right Hand Side of the equation

19.5x = 572 - 13

Performing subtraction on Right Hand Side of the equation

19.5x =  559

Shifting 19.5 to Right Hand Side of the equation at denominator

x = 559 ÷ 19.5

x = 28.67 hours

Rounding off the number of hours, we get the value = 29

So, Joann worked for 29 extra hours. To find the total number of hours she worked, we will simply add her working hours.

Total number of hours Joann worked = 35 hours + extra hours

Total number of hours Joann worked = 35 + 29

Total number of hours Joann worked = 64 hours

Hence, Joann worked for 64 hours in week.

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Answer: Answer is 16 new releases and 22 classic movies.

Step-by-step explanation:

He'll buy 16 new releases and 22 classic movies.

Let x = number of new releases

Let y = number of classics.

The equation to solve the question will be:

20x + 8y = 500

When x= 16 and y = 22, thus will be:

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.

In conclusion, he'll buy 16 new releases and 22 classic movies.

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +0}{2}~~~ ,~~~ \cfrac{ y +6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(5~~,~~-8)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+0}{2}=5\implies \boxed{x=10} \\\\\\ \cfrac{y+6}{2}=-8\implies y+6=-16\implies \boxed{y=-22}[/tex]

The composite function or combined functions of x(A) and V(x) is V(x(A)) = (√A/6)³ option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

A function relates an input to an output.

x2 (squaring) is a function

x3+1 is also a function

Sine, Cosine, and Tangent are functions used in trigonometry.

Although part of the question is missing the question is The function x(A)= √A/6 can be used to determine the side length, x, of a cube given the surface area of the cube, A. The function V(x)= x³ can be used to find the volume of a cube. how can these functions be combined?

a. x(v(A))= sqrt x^3/6

b. V(x(A)) = sqrt x3/6

c. V(x(A))=(sqrt A/6)^3

d. x(v(A))= (sqrt A/6)^3

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Answer:

Piecewise

Step-by-step explanation:

It is basically made up of 2 linear functions

Answer:

Step-by-step explanation:

Discussion

The numbers on each die are 1 to 6.

They are all equally likely to turn up. There are 36 possibilities in all 6*6

So getting a 10 can be done in 3 ways.

6 + 4 = 10

4 + 6 = 10

5 + 5 = 10

You can't get 10 any other way.

So of the 36 ways of throwing 2 dice, only 3 will work.

Answer

P(10)= 3/36 = 1/12 = 0.0833333...

The correct responses for the points, segments, lines, planes, are as follows;

1. M, S, X, and Y

2. Two lines are; [tex] \overleftrightarrow{SX}[/tex], [tex] \overleftrightarrow{YR}[/tex]

3. [tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. [tex]\overrightarrow{MT}[/tex]

5. S, M, T

6. T

7. [tex] \overline{MT}[/tex]

8. [tex] \overleftrightarrow{SX}[/tex]

9. [tex] \overleftrightarrow{SX}[/tex]

10. [tex] \overline{MR}[/tex]

11. A line

12. A plane

13. A point

14. A plane

15. A ray

16. A segment

Please find attached the drawing for the figures in questions 17, 18, 19,and 20

1. A point in Euclidean geometry is a location in space.

Four points are; M, S, X, and Y

2. A line has no thickness and extends indefinitely in both directions.

Two lines are;

[tex] \overleftrightarrow{SX}[/tex]

[tex] \overleftrightarrow{YR}[/tex]

3. Four segments are;

[tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. A ray that has M as an endpoint is \overrightarrow{MT}

5. Three collinear points are; S, M, T

6. A point not on [tex] \overline{YR}[/tex] is T

7. A segment with points T and M as its endpoints is [tex] \overline{MT}[/tex]

8. A line that does not contain R is [tex] \overleftrightarrow{SX}[/tex]

9. A line containing M is; [tex] \overleftrightarrow{SX}[/tex]

10. A segment of lies on [tex] \overleftrightarrow{YR}[/tex] is MR

11. A toothpick suggests a line

12. A floor suggests a plane

13. The tip of a pin suggests a point

14. The water surface of a swimming pool suggest a plane

15. A beam of light from a laser suggests a ray

16. A fence pole suggests a segment

Please find attached the drawing for the figures in questions 17, 18, 19, and 20

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