Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table below:

Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25


What value should be placed in the second column for the range 16 – 20?
4

A rotation which occurred using the origin as the center of rotation is a rotation of 90° clockwise.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise to the coordinate of triangle GHJ in order to determine the coordinate of the vertices H' of the image, triangle G’H’J’;

(x, y)                               →            (y, -x)

Coordinate H = (3, 3) → H' = (3, -(3)) = H' (3, -3)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

The theory which was first developed by Karl Marx is Conflict Theory. The legal process through which one becomes a legally recognized citizen is called naturalization.

Karl Marx was a German philosopher, economist, historian, sociologist, political theorist, journalist, and socialist revolutionary. He is known as one of the founders of social sciences. His theory was based on the conflict between the two classes of society: the proletariat (working class) and the bourgeoisie (ruling class).

The legal process through which one becomes a legally recognized citizen is called naturalization. Naturalization is the process by which foreign individuals become citizens of a new country.

To learn more about conflict theory visit:

https://brainly.com/question/30396865

#SPJ11

Answer:

play a game it will help

Step-by-step explanation:

Answer:  Function 1 has the more negative slope at -2 1/3

Step-by-step explanation:

The slope of Function 1 is -(7/3).

We can calculate the slope of Function 2 by taking any two points and calculating a "Rise/Run," or the change in y per a change in x.  I'll pick points (0,-2) and (11,-24):

Rise = (-24 - (-2) = -22

Run = (11 - 0) = 11

Rise/Run, or slope = -22/11 or -2

Function 1 has the more negative slope at -2 1/3.

Boyle's law, which relates the pressure and volume of an ideal gas, has various applications in science, engineering, and everyday life. Some of the applications of this measuring technique include:

Gas storage: Boyle's law is used in designing and managing gas storage systems, such as gas cylinders and tanks. It helps in determining the volume of gas that can be stored at a given pressure and vice versa.

HVAC systems: Heating, ventilation, and air conditioning (HVAC) systems use Boyle's law to control the pressure and volume of gases in order to regulate temperature and air flow.

Scuba diving: Boyle's law is applied in scuba diving to calculate the changes in volume of gases in diving cylinders at different depths, which affects the diver's breathing and decompression requirements.

Medical applications: In respiratory therapy, Boyle's law is utilized in devices like ventilators, which deliver oxygen or other gases to patients at specific pressures and volumes.

Industrial processes: Boyle's law is used in industrial processes where gases are compressed or expanded, such as in manufacturing, chemical processing, and power generation.

As for measuring surfaces that are not flat, Boyle's law is not directly applicable for such measurements. It is a gas law that relates the pressure and volume of a gas, assuming the gas behaves as an ideal gas.

Learn more about "  pressure and volume  “ visit here;

https://brainly.com/question/29258039

#SPJ4

The graph of the inequality is a straight line that passes through point 3 and represents the solution set.

A mathematical statement known as an inequality in mathematics examines two values or quantities and determines whether they are equal or not. Ranges of values or equation solutions can also be described by inequality. Inequality x 10 defines all x values that are less than or equal to 10, whereas inequality x > 3 represents all x values that are more than 3. For a visual representation of the range of values that fulfil an inequality, inequality's can be graphed on a number line.

The given inequality is 4x - 2 < 10

The inequality can be written as:

4x < 10 + 2

4x < 12

x < 3

Hence, the graph of the inequality is a straight line that passes through point 3 and represents the solution set.

Learn more about inequality here:

https://brainly.com/question/30231017

#SPJ1

The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

Read more on representative sampling;

https://brainly.com/question/25142707

#SPJ4

A graph that shows a line on the scatter plot that fits the data include the following: B. scatter plot with points at 1 comma 2, 2 comma 3, 3 comma 2, 4 comma 5, 5 comma 3, 5 comma 6, 6 comma 4, and 8 comma 4, with a line passing through the coordinates 1 comma 2 and 8 comma 4.

In Mathematics and Geometry, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:

By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.

Read more on line of best fit here: brainly.com/question/12284501

#SPJ1

The population will be about 2972 population in 2020

The standard exponential equation is expressed as;

y = ab^x

where

Given the following parameters

Substittute the given parameters into the formula

y = 2000(1.02)^x

If x = 20 (from 2000 to 2020)

The population will be expressed as;

y = 2000(1.02)^20

y = 2972 populations

Hence the population will be about 2972 population in 2020

Learn more on exponential functions here; https://brainly.com/question/12940982

Answer:

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

ARCH (Autoregressive Conditional Heteroscedasticity) models are estimated using Maximum Likelihood (ML) estimation. Regarding Question 7, if the model has the given conditional variance function, it corresponds to an ARCH(3) model.

In the case of ARCH models, the ML estimation process involves the following steps:

1. Specify the ARCH model: Determine the appropriate order of the ARCH model by analyzing the autocorrelation and partial autocorrelation functions of the squared residuals (or other suitable diagnostic tests). For example, an ARCH(3) model implies that the conditional variance at time t depends on the squared residuals at time t-1, t-2, and t-3.

2. Formulate the likelihood function: The likelihood function specifies the probability of observing the given data under the assumed ARCH model. In ARCH models, the likelihood function is constructed based on the assumption that the errors follow a normal distribution with mean zero and a time-varying conditional variance.

3. Maximize the likelihood function: The goal is to find the parameter values that maximize the likelihood function. This is typically achieved using numerical optimization techniques, such as the Newton-Raphson algorithm or the BFGS algorithm.

4. Estimate the parameters: Once the likelihood function is maximized, the estimated parameter values are obtained. These estimates represent the best-fitting values that maximize the likelihood of observing the given data.

Therefore, the answer to Question 7 is: ARCH(3).

Learn more about variance:

https://brainly.in/question/26967579

#SPJ11

Given, X is a discrete uniform random variable ranging from 1 to 8.

In order to find P(X < 6), we need to find the probability that X takes on a value less than 6.

That is, we need to find the probability that X can take on the values of 1, 2, 3, 4, or 5.

Since X is a uniform random variable, each of these values will have the same probability of occurring. Therefore, we can find P(X < 6) by adding up the probabilities of each of these values and dividing by the total number of possible values:

X can take on 8 possible values with equal probability.

Since we are only interested in the probability that X is less than 6, there are 5 possible values that satisfy this condition.

Therefore:P(X < 6) = 5/8Ans: P(X < 6) = 5/8

learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Answer:

x + 10

Step-by-step explanation:

x and 10 are not the same

The sum of the numbers x and 10 is ( x + 10 ).

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

The given numbers are x and 10. The sum of the given numbers x and 10 is calculated as:-

Sum = x + 10

Hence, the sum is ( x + 10 ).

To know more about summation follow

brainly.com/question/542712

#SPJ2

Answer:

B

Step-by-step explanation:

It goes through the points and it's the exact diagonal line like in the points.

The best approximates the line of the best fit is shown in Option 2.

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

A graph is shown in figure.

Now, By options;

We know that the best line for the graph is cover all the points given in graph to the nearest.

Hence, The best approximates the line of the best fit is shown in Option 2.

Thus, The best approximates the line of the best fit is shown in Option 2.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ7

try the other answer.

Answer:

a. x=2

b. y=5

Step-by-step explanation:

a. 2(11x+7)=58

22x+14=58

x=2

b. 16y+10=90

16y=80

y=5

If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the  maximum weekly revenue

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

It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day

For each $5 increase in price, the shop loses four kayak rentals per week. we need to find  How much should the kayak rental shop charge to maximize weekly revenue

R(x)=(25+5x)(28-4x)

=5(5+x)4(7-x)

=20(5+x)(7-x)

=-20(5+x)(x-7)

when x=1 it is maximum

Price when x =1 is 25+5(1)=30

To calculate maximize revenue

R(1)=(25+5)(28-4)

=30(24)

=720

Hence the maximum weekly revenue is $720.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

Take a nap :)

Step-by-step explanation:

Answer:

Listen to some calming music or relaxation hypnosis. (it's not mind control)

Step-by-step explanation:

a) To recommend a sample size of 62.

b) To recommend a sample size of 43.

To determine the sample size required to estimate the average ounces of milk consumed per resident in the state of Texas with a 95% confidence level and a margin of error not to exceed +/- 0.5 ounces, we can use the following formula:

n = \([(Z\alpha/2 \times \sigma) / E]^2\)

Where:

n = sample size

\(Z\alpha/2\) = the critical value for the desired level of confidence (95%) which is 1.96

σ = the population standard deviation (4 ounces)

E = the margin of error (0.5 ounces)

Substituting these values into the formula, we get:

n = \([(1.96 \times 4) / 0.5]^2\) = 61.6

Since we cannot have a fractional sample size, we can round up to the nearest whole number.

To recommend a sample size of 62.

To double the level of precision and increase the level of confidence to 99%, we can use the same formula as above, but with a different critical value for the desired level of confidence (99%), which is 2.576.

n = \([(Z\alpha/2 \times \sigma) / E]^2\)

n =\([(2.576 \times 4) / 1]^2\)= 42.43

Rounding up to the nearest whole number, we would recommend a sample size of 43.

To achieve a higher level of confidence and double the level of precision, we would need a smaller sample size of 43 as compared to the sample size of 62 required for a 95% confidence level with a margin of error of +/- 0.5 ounces.

For similar questions on sample size

https://brainly.com/question/30509642

#SPJ11

The value of x to the nearest tenth is approximately 61.5. In this case, given the 64-degree angle and the adjacent side (30), you can use the tangent function to find the value of x, which is the side opposite to the 64-degree angle.

Step 1: Identify the given information
Adjacent side = 30
Angle = 64 degrees

Step 2: Apply the tangent function
tan(angle) = opposite side / adjacent side

Step 3: Plug in the given information
tan(64 degrees) = x / 30

Step 4: Solve for x
x = 30 * tan(64 degrees)

Step 5: Calculate the value of x (round to the nearest tenth)
x ≈ 30 * 2.050 = 61.5

So, the value of x to the nearest tenth is approximately 61.5.

To learn more about  tangent function click here : brainly.com/question/22161213

#SPJ11

The difference in elevation between Mt. McKinley and Death Valley is 3.9 miles.

What is elevations?

Elevation refers to the height of a location above a reference point, such as sea level or ground level. It is typically measured in units of feet or meters. Elevation is an important geographic factor that affects weather patterns, ecosystems, and human settlements.

The difference in elevation between the highest point in the United States, Mt. McKinley (also known as Denali), and the lowest point, Death Valley, can be calculated by subtracting the elevation of Death Valley from the elevation of Mt. McKinley.

Mt. McKinley has an elevation of 3.85 miles (20,237 feet) above sea level, while Death Valley has an elevation of 0.05 miles (262 feet) below sea level.

So, the difference in elevation between these two locations is:

3.85 miles - (-0.05 miles) = 3.9 miles

Therefore, the difference in elevation between Mt. McKinley and Death Valley is 3.9 miles.

To learn more about elevations visit:

https://brainly.com/question/27243378

#SPJ1

Answer:

The width increases as the confidence level increases (0.5 towards 0.99999 - stronger).

Step-by-step explanation:

In a regression analysis, the error term ε is a random variable with a mean or expected value of zero. The correct option is a.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given:

Analysis is a regression analysis.

And the error term in regression analysis:

The error term, which refers to the total of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.

ε = Epsilon or error term.

The variation in the dependent variable that the independent factors do not explain is taken into account by the error term.

The values of the error term should be determined by random chance.

The average value of the error term must be equal to zero in order for your model to be impartial.

Therefore, error term is zero.

To learn more about the mean;

brainly.com/question/13451489

#SPJ1

Answer:

What is the median of - 11, 31, 17, 22, 18, 25, 25, 10, 15, 12, 30, 12, 29, 25, 21, 32, 30, 25?

10, 11, 12, 12, 15, 17, 18, 21, 22, 25, 25, 25, 25, 29, 30, 30, 31, 32

25 + 25

50 ÷ 2

Step-by-step explanation:

You're welcome.

Answer:

Step-by-step explanation:

(16*16)+(8*8)

16. 8

16. 8

—————-

96. 64

160

—————-

256+64=320

Answer:

320

Step-by-step explanation:

16^2 + 8^2 = 16 * 16 + 8 * 8 = 256 + 64 = 320

Answer:

  D. 13.2

Step-by-step explanation:

The law of sines tells you side lengths are proportional to the sines of their opposite angles.

From the law of sines, we have ...

  b/a = sin(B)/sin(A) = sin(49°)/sin(16°)

You know the sine function is concave downward, so the sine of 49° cannot be more than 49/16 = 3 1/16 times the sine of 16°. That means ...

  b/a < 3 1/16   ⇒   b < (4)(3 1/16) = 12 1/4

The triangle inequality tells you ...

  c < a +b

  c < 4 + 12 1/4 = 16 1/4

Of the possible answer choices, the only sensible choice is 13.2.

If you actually want to work the problem in detail, you need to find angle C:

  C = 180° -A -B

  C = 180° -16° -49° = 115°

Then the law of sines tells you ...

  c/a = sin(C)/sin(A)

  c = a·sin(C)/sin(A) = 4·sin(115°)/sin(16°)

  c ≈ 13.2

__

Additional comment

We can revisit the estimating process using the actual value of angle C.

  C = 180° -16° -49° = 115°

  sin(C) = sin(115°) = sin(65°) . . . . . . sine identity

Again, ...

  c/a < C/A

  c < a(C/A) = 4(65°/16°) = 16 1/4 . . . . same as above.

77 is the sum of their integers  squares .

What in math is an integer?

Let the numbers be ( n - 1 ), n , ( n + 1 )

according to question

  ( n - 1 ) (n) ( n + 1 ) = 8( n + n - 1 + n + 1 )

  n( n² - 1 ) = 8(3n)

   ( n² - 1 ) = 24

    n²= 25

    n = 5

since n is positive integer n = 5

thus required numbers are 4,5,6

4² + 5² + 6² = 77

Learn more about integer

brainly.com/question/15276410

#SPJ4

a) Considering the scale factor, the height that she should build the model is of: 22.1 inches.

b) Essence has enough information to build the accurate scale model, as she needs only the scale and either the actual or the drawn model.

An scale is defined as the relation between the actual length of a segment and the length of drawn segment, as follows:

Scale = Actual length/drawn length

The scale for this problem is given as follows:

Scale factor = 300 ft/1 in.

Which means that each inch on the drawing represents an actual height of 300 ft.

The height of the Clingman Dome is given as follows:

6,643 feet.

Considering the scale factor of 300 ft/1 in, the height of the drawing is obtained as follows:

6643/300 = 22.1 inches.

Learn more about scales at brainly.com/question/13036238

#SPJ1

The two equations that have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p are: 2.3p - 10.1 = 6.49p - 4 and 2.3p - 14.1 = 6.4p - 4.

The addition feature of equality was employed in the aforementioned case to isolate the p word. According to this characteristic, an equation is still valid if the same amount is added to both sides of it. To isolate the p component on one side of the equation 2.3p - 10.1 = 6.49p - 4 in the previous issue, we added 4 to both sides of the equation.

For the given set of equations we can rewrite them as follows:

2.3p - 10.1 = 6.5p - 4 - 0.01p

-10.1 = 4.19p - 4

p = 1.66

The similar solution is obtained for the equation 2.3p - 14.1 = 6.4p - 4.

Hence, the two equations that have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p are: 2.3p - 10.1 = 6.49p - 4 and 2.3p - 14.1 = 6.4p - 4

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ1