Calculate the mean and median of the data set below: 15, 12, 11, 19, 21, 13, 14, 16, 20, 19

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.

A transversal line is a line that crosses through two lines on the same plane.

Example:

I attached a photo below showing the Transversal line (the line in red) crossing two lines located on the same plane. Note: The Transversal line is only the red line, not the whole diagram below.

I am open to corrections if I unintentionally added false information :).

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After the transformation of vertical compression , horizontal shift and reflection as mentioned the transformed equation is given by :

y = (-1/7)(x+ 8)³ .

As given in the question,

Given equation is :

y = x³

When the transformation is done as vertical compression with factor 1/7 it is equal to :

y = ( 1/7 )x³

Now Transformed by horizontal shift of 8 units to the left

y = ( 1 /7)( x + 8 )³

Reflection across the x -axis is given by :

y = - ( 1 /7)( x + 8 )³

Therefore, after the transformation of vertical compression , horizontal shift , and the reflection the required equation is :

y = ( 1 /7)( x + 8 )³.

The above question is incomplete, the complete question is :

What is the equation of y=x^3 with the given transformations?

Vertical compression by a factor of 1/7 ,horizontal shift 8 units to the left, reflection across the x axis.

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The required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

Given that,
The dimensions of this polygon are shown in feet (ft). 10ft/3ft/4 ft/8 ft. The area, in square feet, of the polygon is to be determined.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc

Here,
Assumed that all the polygons are square,
The area of the square is given as (side)².
1,
Side = 10 ft
Area of the square = [10 ft]² = 100 ft²

Similarly,
For side 3 areas is 9 ft²,

For side 4 areas is 16 ft²,

For side 8 areas is 64 ft²,

Thus, the required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

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To use Stokes' theorem to evaluate the given vector field, we need to find the curl of the vector field and calculate the surface integral over the cone.

First, let's find the curl of the vector field f(x, y, z) = arctan(x^2yz^2)i + x^2yj + x^2z^2k.

The curl of a vector field F = P i + Q j + R k is given by the following formula:
curl F = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, P = arctan(x^2yz^2), Q = x^2y, and R = x^2z^2.

Taking the partial derivatives, we get:
∂P/∂x = 0, ∂P/∂y = 2x^2z^2, ∂P/∂z = 2x^2yz^2
∂Q/∂x = 2xy, ∂Q/∂y = x^2, ∂Q/∂z = 0
∂R/∂x = 2xz^2, ∂R/∂y = 0, ∂R/∂z = 2x^2z

Now, substituting these values into the formula for the curl, we have:
curl f = (2x^2z^2 - 0)i + (0 - 2xz^2)j + (2xy - 2x^2yz^2)k
      = 2x^2z^2i - 2xz^2j + 2xyk

Next, we need to calculate the surface integral over the cone.

The surface integral can be evaluated using the formula:
∫∫S (curl f) · dS = ∫∫D (curl f) · (r_u × r_v) dA

Here, (r_u × r_v) is the cross product of the partial derivatives of the position vector r(u, v) with respect to the parameters u and v, and dA is the differential area element.

In this case, the cone is given by x = sqrt(y^2 + z^2), 0 <= x <= 2, and we can parameterize the surface as r(u, v) = u sqrt(1 + v^2) i + u v j + u sqrt(1 + v^2) k, where 0 <= u <= 2, -1 <= v <= 1.

Taking the partial derivatives of r with respect to u and v, we have:
r_u = sqrt(1 + v^2) i + v j + sqrt(1 + v^2) k
r_v = u v i + j + u v k

Now, calculating the cross product r_u × r_v, we get:
r_u × r_v = (v sqrt(1 + v^2) - u v sqrt(1 + v^2)) i - (sqrt(1 + v^2) - u v) j + (u v - v sqrt(1 + v^2)) k

Finally, substituting the values into the surface integral formula, we have:
∫∫S (curl f) · dS = ∫∫D (2x^2z^2i - 2xz^2j + 2xyk) · ((v sqrt(1 + v^2) - u v sqrt(1 + v^2)) i - (sqrt(1 + v^2) - u v) j + (u v - v sqrt(1 + v^2)) k) dA

Now, you can evaluate this surface integral to find the answer.

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The service should wax approximately 233 cars daily to maximize profit.

To maximize profit, we need to find the number of cars (q) that would result in the highest profit. Profit function P(q) can be calculated as:

P(q) = Revenue - Cost
P(q) = 65q - (0.06q² + 37q + 360)

Now, to find the optimal value of q, we can calculate the derivative of the profit function with respect to q and set it to zero:

dP(q)/dq = 65 - (0.12q + 37)
0 = 65 - 0.12q - 37

Solve for q:

0.12q = 28
q = 28 / 0.12
q ≈ 233.33

Since the number of cars must be a whole number, we can round q to the nearest integer. Therefore, the service should wax approximately 233 cars daily to maximize profit.

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The degrees of freedom in the given regression model is 33.

In a regression model that has 40 observations, 6 independent variables and one intercept, the degrees of freedom can be calculated using the formula below:

Degrees of freedom = (number of observations) - (number of independent variables + 1)

Degrees of freedom = 40 - (6 + 1)Degrees of freedom = 33

Therefore,

the correct answer is option (a) 33.Explanation:

In the given scenario, the number of observations is 40, the number of independent variables is 6, and the model has one intercept.

To find the degrees of freedom, we can use the formula given above.

Degrees of freedom = (number of observations) - (number of independent variables + 1)Substituting the given values in the formula, we get:

Degrees of freedom = 40 - (6 + 1)Degrees of freedom = 40 - 7Degrees of freedom = 33

Therefore, the degrees of freedom in the given regression model is 33.

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Answer:

It's 0.20

Step-by-step explanation:

The distance between the base of the model tree to the edge of the model bench is  0.2 yard.

A diagram is attached which describe the statement of question.

From diagram attached below, It is observed that both triangles are similar triangles.

The ratio of corresponding sides are same in the similar triangles.

the distance between the base of the model tree to the edge of the model bench is  x.

                     \(\frac{5}{x}=\frac{10}{0.4}\\ \\ 10x=2\\\\x=2/10=0.2yard\)                

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The graph is in the image.

False

Step-by-step explanation:

I just did it the samething

The given statement Joe Tyson is the place kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal is worth 3 points and each point after a

A touchdown is worth 1 point Joe earned a total of 70 points last season Joe Kicked 22 field goals last season is False hence, a correct option is an option (B).

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that Joe kicked 38 times

Let the number of times the field goal be x

Number of time touchdown is y

Given that

3x + y + 70

And x + y = 38

Substituting the value of y from one equation to other

x = 16 hence, the number of field goals will be 16, not 22 so it will be false.

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Median, because Sunny Town is skewed measure of center should be used to determine which location typically has the cooler temperature.

How to compare the data?

When comparing the data to determine which location typically has the cooler temperature, the appropriate measure of center to use depends on the distribution of the data.

In the case of Sunny Town, the histogram is skewed to the right, with a longer tail of higher temperatures, and the shaded bar stopping at 2 above 100 to 109 suggests that there are some high outliers. In this case, the median would be a more appropriate measure of center because it is less affected by extreme values than the mean.

In the case of Desert Landing, the histogram is symmetric, with a peak in the middle of the range of temperatures. In this case, the mean and the median are equal, and either measure could be used to determine the center of the distribution.

Therefore, the median should be used to determine which location typically has the cooler temperature, and based on the given histograms, it appears that Sunny Town typically has the cooler temperature.

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Answer:

1. The yellow will be on the left.

2. The left side will be up and the right will be down.

3. A. Have been flip

B. None

Step-by-step explanation:

1. If it is flipped counterclockwise (if it is flipped clockwise it will be on the right)

2. A visual guide would make it easier to show you ... sorry

3. A. They have the same size, the shape was simply flipper since it doesn't point in the same direction

B. They aren't the same size, hence they aren't the same shape

In order to find the quadratic equation, let's use the vertex form below:

Where the vertex is located at (h, k).

So, if the vertex is (h, k) = (-4, 2) and using the point (x, y) = (-4, 0), we have:

Since the final statement is false, it's not possible to have a quadratic function with vertex (-4, 2) and with the point (-4, 0).

If we use the point (4, 0) instead, we would have:

So the equation in this case would be:

The empty spaces would be filled with the values -1/32, -4 and 2.

Answer:

A football is a sphere, so the formula for calculating its surface area is 4πr²

Hope it helps:)

Answer:

angle 4= 80°

Step-by-step explanation:

Angles 2, 3, 6 and 7 are equal 100°

Angles 4, 8 and 5 are equal 80°

I hope this help you

In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: True. The within-treatments variance in an ANOVA provides a measure of the variability inside each treatment condition.

In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: the between-treatments variability and the within-treatments variability. The between-treatments variability represents the differences among the treatment conditions, while the within-treatments variability measures the variability within each treatment condition.

The within-treatments variance, also known as the error variance or residual variance, quantifies the variation that cannot be attributed to the differences among treatment conditions. It captures the random variability within each treatment group, accounting for the individual differences and random errors present within the groups.

By analyzing the within-treatments variance, we can assess how much variation exists within each treatment condition and evaluate the consistency or homogeneity of the data within each group. It helps determine the extent to which the treatment conditions explain the observed differences and whether any remaining variation is due to random fluctuations or other factors.

Hence, the statement that the within-treatments variance provides a measure of the variability inside each treatment condition is true in the context of ANOVA.

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The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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The measure of angle B is 141 degrees

Given,

In the question:

There is a seven sided polygon ABCDEFG

The measure of angle BCD is 148 degrees,

The measure of angle DEF is 142 degrees,

The measure of angle EFG is 130 degrees,

The measure of angle FGA is 129 degrees,

and the measure of angle GAB is 120 degrees.

Angle CDE is a right angle.

To find the m∠B.

Now, According to the question:

The sum of angles in a polygon adds up to 180(n - 2), where n is the number of sides of the polygon

The angles are given as:

∠BCD = 148

∠DEF = 142

∠EFG = 130

∠FGA = 129

∠GAB = 120

∠CDE = 90

So, the measure of angle B is calculated using:

∠B + 148 + 142 + 130 + 129 + 120 + 90 = 180(n - 2)

∠B + 759 = 180(n - 2)

The value of n is 7

∠B + 759 = 180(7 - 2)

∠B + 759 = 180 x 5

∠B = 900 - 759

∠B = 141

Hence, the measure of angle B is 141 degrees

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The minimum value is 0.5 and the maximum value is 3.5.

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Answer:

Step-by-step explanation:

Parent function has been given as,

f(x) = |x|

Vertex → (0, 0)

Line of symmetry → x = 0

After transformation, image function is,

g(x) = 2|x + 2| - 3

Transformation shows that the function 'f' is vertically stretched by a scale factor of 2, followed by shifting of 2 units to the left and 3 units down.

Therefore, vertex of the transformed function will be shifted by 2 units left and 3 units down.

Vertex → (-2, -3)

Line of symmetry will be shifted by 2 units left.

Therefore, Line of symmetry → x = -2

Answer:

0.205 (rounded)

Step-by-step explanation:

Perform long division by multiplying the numbers by 1000 to remove the decimals and then solving. Or you could have just used a calculator lol. So I did like 5 digits of it, and you could just round to 0.205, I wouldn't go too far with the decimals even though it is a terminating decimal I believe.

Answer:

it is b my guy :)

Step-by-step explanation:

Answer:

mass, pressure, density is the right answer

Step-by-step explanation:

The three main characteristics that can be used to describe air are: C. mass, pressure, density.

Altitude deals with elevation of an object.

Radiation relates to transmission of energy through a medium in form of waves.

Air has mass, pressure, and density.

Therefore, the three main characteristics that can be used to describe air are: C. mass, pressure, density.

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The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

The asterisk (*) before the variable name indicates that num2 is a pointer variable. Pointers are variables that store memory addresses rather than values directly. In this case, the pointer variable num2 is expected to hold the memory address of a double type variable. However, the statement does not initialize the pointer or assign any specific memory address to it.

Therefore, The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

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The statement 'double *num2;' declares a pointer variable named num2.

The statement 'double *num2;' is used to declare a pointer variable named num2. In programming, a pointer is a variable that stores the memory address of another variable. The asterisk (*) is used to indicate that num2 is a pointer variable. The 'double' keyword is used to specify the type of variable that num2 can point to, in this case, a double variable.

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Answer:

(-2, -5)

(-1, -2)

(0, 1)

(1, 4)

(2, 7)

Step-by-step explanation:

Substitute x with each number and solve equation.

Answer:

1 \(\frac{5}{18\\}\)

Step-by-step explanation:

So first, we need to convert the mix # into a whole fraction, which the equation is going to be 5/2 - 11/9.

You multiply the whole # 2 in the first fraction with the denominator which is also 2, and you get 4, then plus the 1 in the numerator, which is 5. Keep the denominator and the fraction is 5/2.

As above, for the second fraction, you multiply 1 by 9 and add 2 to the result, which you get 11 then keep the denominator - 9, the fraction is 11/9.

Then, we can multiply them both and make the denominator into 18. Don't forget to multiply the top # too. Which we get-

45/18 - 22/18

Now we have the same denominator, we can subtract the numerators.

45-22 = 23

Then we put the # back into the fraction, which we will get 23/18

Subtract 18 from 23, we get 5, which means the mix # would be 1 \(\frac{5}{18\\}\)

I hope this helps!

Have a great day!

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254.47cm^2

Step-by-step explanation:

A= pi x 3x3

= 9pi

x2 (there is 2 circles)

18pi

C=pi x D

= pi x 6

= 6pi

Width of rectangle wrap perfectly around the circle, so the circumference of 6pi will become the width of the rectangle

Rectangle:

A=lxw

= 10.5 x 6pi

= 63pi

Add up:

63pi + 18pi = 81pi

81pi = 254.469.....

Round to nearest 100th would be 254.47cm^2

(100th is 1/100= 0.01)

Hope this helps!

Answer: they will each get 1/8 of the pan of brownies

Step-by-step explanation:

She only has 1/2 the pan.

Herself plus 3 friends are 4 people.

1/2= 4/8

So, they will each get 1/8 of the pan of brownies.

Answer:

Division :)

Hope this helps!

Professor evaluation in this case is an example of a discrete random variable. A discrete random variable takes on a countable number of distinct values.

In this case, the scores 1, 2, 3, 4, and 5. The variable represents the outcome of a specific event (the evaluation of a professor) and can only assume these specific values. Each score has a certain probability associated with it, reflecting the likelihood of that score being given by the students.

As it is a discrete random variable, there is no intermediate value between the possible scores, and the probability distribution can be represented by a probability mass function.

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