Add 212+(−13) . Write your answer as a mixed number in simplest form.

Answer:

F' = (-6,3)

Distance = 12 units

Step-by-step explanation:

F is currently at (6,3).

Reflected over the y-axis, it would be at (-6,3).

That puts them 12 units apart.

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

no u

Step-by-step explanation:

Answer:

The midpoint is ( 11/2, 1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( 4+7)/2 = 11/2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -2+4)/2 =2/2 =1

The midpoint is ( 11/2, 1)

From the given data, the marginal cost and the actual cost of manufacturing is $0.097 and $218.803 respectively.

a. To find the marginal cost function, we need to take the derivative of the cost function with respect to x:

c'(x) = -9/x² + 2x/9

b. To find the marginal cost of manufacturing 12 food processors, we substitute x = 12 into the marginal cost function:

c'(12) = -9/12² + 2(12)/9 = -0.125 + 0.222 = 0.097

Therefore, the marginal cost of manufacturing 12 food processors is $0.097.

c. To find the actual cost of manufacturing the thirteenth food processor, we need to evaluate the cost function at x = 13:

c(13) = 200 + 9/13 + 13²/9 = 200 + 0.692 + 18.111 = $218.803

Therefore, the actual cost of manufacturing the thirteenth food processor is $218.803.

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Since Polygon X is a scaled copy of Polygon Y using a scale factor of 3, a statement which is true include the following: D. The area of Polygon X is 9 times the area of Polygon Y.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)

Therefore, the area of Polygon X with respect to Polygon Y based on the given scale factor of 3 is as follows;

Area of Polygon X/Area of Polygon Y = 3²

Area of Polygon X/Area of Polygon Y = 9.

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39 number is the secret code as the unlock code for the safe.

According to the statement

we have given that  a some numbers as a code and we have to find the correct code after applying the given conditions.

So, For this purpose

The given number set is

5 17 29 22 11 26 27 35 39 41

So,

A. One condition : It is an odd number

so, the number set become

5 17 29 11 27 35 39 41

And

B. Second condition : It is greater than 20

so, the number set become

29 27 35 39 41

And

C. Third condition : It is smaller than 40

so, the number set become

29 27 35 39

And

D. Fourth condition : It is not a prime number

so, the number set become

27 35 39

And

E. Fifth condition : It has 13 as one of its factors

so, the number set become

39.

So, 39 number is the secret code as the unlock code for the safe.

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Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

The subshell designated by each set of quantum numbers is as follows:

a) n=3, l=1 -> 3p subshell

b) n=4, l=2 -> 4d subshell

c) n=2, l=0 -> 2s subshell

d) n=5, l=3 -> 5f subshell

In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.

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Since the researcher is merely observing and comparing existing groups without any manipulation or intervention, this study is classified as an observational study.

In an observational study, the researcher observes and collects data on existing groups or individuals without intervening or manipulating any variables. In this case, the researcher selected two groups of grocery shoppers (one group shopping at a health food supermarket and the other at a neighborhood grocery store) and observed their food costs over a month. The researcher did not control or manipulate any factors or assign participants to specific groups.

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Answer:

340 feet

Step-by-step explanation:

To get the number of feet, we simply make an addition of the number of feet dug on both days

The total will be 175 feet + 165 feet = 340 feet

Answer:

Step-by-step explanation: 0.2

Answer:

B) y=-4x+28

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-4(x-5)

y=-4x+20+8

y=-4x+28

If you drive with a speed of 1 Amph, you are exceeding the speed limit of 35 m/s since 1 Amph is equal to 44.7 m/s. The value of P will depend on the specific values of A, B, and C given.

5. In scientific notation, the final answer after taking the C value and multiplying it by 100000 is 3.92 x 10^6. There are 3 significant figures in the final answer.

6. The correct answer after calculating A/5.00+C/20.00+D∗0.0005 will depend on the specific values of A, C, and D given. Without knowing those values, it is impossible to determine the final answer.

7. To convert Amph (miles per hour) to SI unit (m/s), you need to divide the speed in mph by 2.237. Therefore, 1 Amph = 0.447 m/s. If you drive with a speed of 1 Amph, you are exceeding the speed limit of 35 m/s since 1 Amph is equal to 44.7 m/s.

8. The SI unit of P, calculated using the formula P = 5AB(B-C)^2, would be kg^2/s^2. The value of P will depend on the specific values of A, B, and C given. Without knowing those values, it is impossible to determine the value of P.

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Cameron received more in 2009 than he did in 2007. He received 5.48 Canadian dollars more in 2009.

To find out if Cameron received more or less in 2009, we need to compare the exchange rates between the two years. Let's assume the exchange rate in 2009 was 1 U.S. dollar to 1.1 Canadian dollars. In 2007, Cameron received 46.52 Canadian dollars for 40 U.S. dollars.

In 2009, if Cameron exchanged the same 40 U.S. dollars, he would have received 40 * 1.1 = 44 Canadian dollars. Therefore, Cameron received less in 2009 than he did in 2007. The difference is 46.52 - 44 = 2.52 Canadian dollars less in 2009 compared to 2007.

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a. John Underpar's possible monetary outcomes are either winning, which is worth -$5 (the cost of the ticket).

b. the driver (worth $300) or having a worthless ticket (worth $0).

c) Probability of getting nothing = 79/80 = 0.9875
Probability of winning the driver = 1/80 = 0.0125
d. the expected value of buying a ticket is -$1.19, which means on average, a person can expect to lose $1.19 by buying a ticket.
e.the expected return to the club is $100 if all 80 tickets are sold.

a. John Underpar's possible monetary outcomes are either winning the Taylormade R9 10.5 regular flex driver, which is worth $300, or having a worthless ticket, which is worth -$5 (the cost of the ticket).

b. Actually, winning the driver is worth $300, not $295. So, Mr. Underpar's possible monetary outcomes are either winning the driver (worth $300) or having a worthless ticket (worth $0).

c. Mr. Underpar's "experiment" can be summarized as a probability distribution with the following probabilities:

Probability of getting nothing = 79/80 = 0.9875
Probability of winning the driver = 1/80 = 0.0125

d. The mean or expected value of the probability distribution can be calculated as:

Expected value = (Probability of winning the driver x Value of winning) + (Probability of getting nothing x Value of nothing)
Expected value = (0.0125 x $300) + (0.9875 x -$5)
Expected value = $3.75 - $4.94
Expected value = -$1.19

Therefore, the expected value of buying a ticket is -$1.19, which means on average, a person can expect to lose $1.19 by buying a ticket.

e. If all 80 tickets are sold, the expected return to the club can be calculated as:

Expected return = (Number of tickets sold x Price of a ticket) - Value of the prize
Expected return = (80 x $5) - $300
Expected return = $400 - $300
Expected return = $100

Therefore, the expected return to the club is $100 if all 80 tickets are sold.

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A within conditions pattern means the range of values is b. variability

The data or observations gathered inside a certain condition or context are included in the pattern of the condition. This could be done in accordance with a specific time period, group, experiment, or other set conditions. If the pattern seen under these circumstances displays a range of values, variability is present. In other words, the observations or data points are not constant or reliable. Instead, they show peaks and valleys or variations over the range of values.

This diversity may show up in several ways. For example, it might be seen, as a collection of unrelated data points lacking a discernible trend or pattern. It might also be seen as a large range of values, which would suggest that the data has a lot of dispersion or variance. However, it would not be seen as a within-conditions pattern indicating variability if data points or observations within the condition were reasonably stable, that is, they were closely grouped around a certain value or followed a steady trend.

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Complete Question:

A within conditions pattern meaning the range of values is -

a. the opposite of stability

b. variability

c. trend

d. level

a) Using an even value of k in the k-NN classifier can lead to ties in the decision-making process.

b) The emergence of Bayesian Belief Network is driven by the need for probabilistic models to represent uncertain knowledge and make inferences.

c) Scaling is necessary in k-NN to ensure that features with larger ranges do not dominate the distance calculation.

d) The mathematical relation between Manhattan distance and Euclidean distance is given by Manhattan distance = √(Euclidean distance).

e) A dendrogram is not applicable in K-means clustering algorithm because it does not provide a hierarchical representation of the clusters.

f) Minimum spanning tree (MST) is appropriate for divisive hierarchical clustering as it allows for a step-by-step division of clusters based on the minimum dissimilarity.

g) The size of the proximity matrix can be reduced from m^2 to about m^2/2 for symmetric distance measures.

h) Matching each transaction against every candidate is computationally expensive in brute-force approach due to the high number of comparisons required.

i) The mathematical relation between k (from k-itemset) and w (maximum transaction width) depends on the specific problem or algorithm being used.

j) The possible subsets of size 3 in a transaction t of n items can be calculated using the combination formula: C(n, 3) = n! / (3! * (n-3)!).

k) The total number of possible association rules in brute-force approach with d = 3 items can be calculated as 3^2 - 3 = 6 using the formula 2^(d^2) - d.

Using an even value of k in the k-NN classifier can lead to ties in the decision-making process. When k is even, there is a possibility of having an equal number of neighbors from different classes, resulting in ambiguity in assigning the class label.

The Bayesian Belief Network has emerged as a solution to represent uncertain knowledge and make inferences. It utilizes probabilistic models and graphical structures to capture the dependencies and conditional relationships between variables, allowing for reasoning under uncertainty.

Scaling is necessary in k-NN to ensure fair comparison between features with different ranges. Without scaling, features with larger numerical values would dominate the distance calculation and potentially bias the classification process.

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Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

A rotation is a turn made about a specific axis. Both clockwise and anticlockwise rotations are possible. Whereas the image is really the rotating image, the pre-image is the original item.

From the pre-image point, calculate the image. The listed pre-image point is (x , y). Change the x and y coordinates, then multiply this same previous y coordinate by -1 to get a 90 degree anticlockwise rotation. Use the guidelines mentioned below to calculate each rotation.

Clockwise :

Given :

F(2, 4), I(5, 4) and G(3, 2)

After 90 degree rotation: (x , y) ----> (y , -x)

F'(4,-2), I'(4,-5) and G'(2,-3).

Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

Graphs for the both triangles are obtained.

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Correct question:

ΔFIG has vertices at F(2, 4), I(5, 4) and G(3, 2). Graph ΔFIG and ΔF'I'G' after a rotation of 90° clockwise about the origin.​

Answer:

52

Step-by-step explanation: Just Multiply 4x13

Answer:

-$52

Step-by-step explanation:

-$13 * 4 = -$52

(i think it's negative because it ask for the change.)

Answer:

15

Step-by-step explanation:

Answer:

6? If its a squared machine than it is 6 bc 6 squared is 36.  sorry if it is wrong.

Step-by-step explanation:

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

Given expression:

         3(-4x + 5) = 12

To solve for x;

  Use the distributive property to open the parentheses;

     3(-4x) + 3(5) = 12

      -12x + 15 = 12

 then, add -15 to both sides;

    -12x + 15 + (-15) = 12 + (-15)

            -12x  = -3

  divide both sides by -12;

        \(\frac{-12x}{-12}\)   = \(\frac{-3}{-12}\)

           x  = \(\frac{1}{4}\)

The pοint that satisfies bοth inequalities is the pοint inside this triangular regiοn.

An inequality is a mathematical statement that cοmpares twο values οr expressiοns and indicates whether they are equal οr nοt, οr which οne is greater οr smaller.

Since the shading is nοt included, we will need tο use the lines themselves tο determine the cοrrect regiοn οf the cοοrdinate plane.

The first inequality y > (3/2)x - 5 has a slοpe οf 3/2 and a y-intercept οf -5. This means the line will have a pοsitive slοpe and will be lοcated belοw the pοint (0,-5).

The secοnd inequality y < (-1/6)x - 6 has a negative slοpe οf -1/6 and a y-intercept οf -6. This means the line will have a negative slοpe and will be lοcated abοve the pοint (0,-6).

Tο find the pοint that satisfies BOTH inequalities, we need tο lοοk fοr the regiοn οf the cοοrdinate plane that is belοw the line y = (3/2)x - 5 AND abοve the line y = (-1/6)x - 6. This regiοn is the triangular-shaped area that is bοunded by the twο lines and the x-axis.

The pοint that satisfies bοth inequalities is the pοint inside this triangular regiοn.

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The price of the house (y) is directly proportional to the total area of the house (x), you can express the relationship between both variables as follows:

Where "k" is the constant of proportionality.

To determine the price of a house that has 2,000 ft², the first step is to determine the value of the constant of proportionality between both variables. For this, we have to use the known price and size of the house:

-The house has 1,500 ft² → this is the value of x

-The house costs $300,000 → this is the value of y

You can express the relationship as:

To calculate the value of k, you have to divide both sides by 1,500ft²

The constant of proportionality is 200$/ft², this value indicates that the price of the house increases $200 for every additional square foot.

Now that we know the value of the constant of proportionality we can calculate the price of a 2,000ft² house:

For x=2,000ft²

The price of a 2,000ft² is $400,000

Answer:

The present value of $225 received at the end of five years with an interest rate of 5% is $176.29.

Answer:

The answer is A.

Step-by-step explanation:

JLK is translated to the left by 2 units

The Gauss-Jordan method is used to solve a system of linear equations. This method is a modified version of Gaussian elimination, which can be used to find the reduced row echelon form of a matrix.

To solve the following system of equations using the Gauss-Jordan method:x + 4y + 3z = 1 2x - 3y + yoz = 32 - 4x + 5y + z = 8

First, we need to write this system of equations in matrix form.

This can be done by placing the coefficients of the variables in a matrix and the constant terms in another matrix. Then, we can use elementary row operations to transform the matrix into row echelon form and then into reduced row echelon form.

Here is the augmented matrix for this system:

\(1 4 3 1 | 02 -3 yoz 32 | 08 5 1 1 | 2\)

Next, we need to use elementary row operations to transform this matrix into row echelon form.

We can start by using the first row as a pivot row and eliminating the first variable from the second and third rows.

We can do this by subtracting two times the first row from the second row and subtracting eight times the first row from the third row:

\(1 4 3 1 | 0 (R1) 0 -11 yoz 30 | 8 (R2) 0 -11 -2 | -8 (R3)\)

The second row from the third row:

\(1 0 -3/11 -3 | -8/11 (R1) 0 1 yoz/11 | 46/11 (R2) 0 0 -113/11 | -106/11 (R3)\)

Therefore, the solution to the system of equations is (x, y, z) = (-2, 10, 106/113).

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The correct statements about the solids are:

To find which statements are correct:

Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.

The volume of the first triangle is: \(2x^{2} h\)

The volume of the second triangle is: \(x^{2} h\)

Therefore, the correct statements about the solids are:

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The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.

A) The bases are congruent.

B) The solids are similar.

C) The ratio of the volumes of the first solid to the second solid is 8:1.

D)The volume of the first solid is twice as much as the volume of the second solid.

E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more

surface area than the second solid.

Answer:

Jaycee sold 28 candy bars

Step-by-step explanation:

Jayce and Rylee are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70, how many candy bars did he sell?

From the above question:

$210 = 84 candy bars

$70 = x candy bars

Cross Multiply

210 × x = 70 × 84

x = 70 × 84/210

x = 28 candy bars

Therefore, Jaycee sold 28 candy bars