Select the correct answer.
The image of polygon MNOP after a similarity transformation is polygon WXYZ. Each side of MNOP is 2 times as long as the corresponding side
of WXYZ. What is the scale factor of the dilation in the similarity transformation?
OA 4
OB 0.5
Ос. 2
OD. 0.25
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mii

Answer:

A

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Points C , G , and H are not Collinear.

Collinear Point:

                         Two or more points are said to be collinear, if they lie on the same straight line,whether they are close together, far apart, or form a ray, line segment, or line.

                                      In other words we can say Collinear points are the set of three or more than three points that lie on a single straight line.

Now,

       From given figure we can see all the three points C , G , and H are not lying on a single straight line or line segment. In fact GH and CG are different sides.

               So, points C , G , and H are not Collinear points.

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The Variables (a) Gender is Categorical , (b) Alcohol can be either Categorical or Quantitative and (c) Height is Quantitative .

We can identify the type of each variable as categorical or quantitative.

(a) Gender: This variable is categorical, as it describes a characteristic that can only take on a limited number of values (e.g., male or female).

(b) Alcohol: Without additional information , it is not clear whether this variable is categorical or quantitative.

If the data set only includes information about whether an individual drinks alcohol or not, then this variable is categorical. If the data set includes information about how much alcohol an individual consumes, then this variable would be quantitative.

(c) Height: This variable is quantitative, as it represents a numerical measurement of a continuous variable.

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The given question is incomplete , the complete question is

Identify and classify the variable(s) you will use. here is the list of variables in the data set.  

(i) identify the variable as either categorical or quantitative.

the variables are (a) Gender , (b) Alcohol , (c) Height .

Matrices are a type of data structure that can be used to represent and manipulate data in a variety of ways.

One way to use matrices to represent data is to store the data in the form of a matrix. For example, a matrix could be used to represent a table of values, where each row represents a different data point and each column represents a different attribute or feature of the data.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

Overall, matrices are a powerful tool for representing and manipulating data in a variety of contexts, and they are widely used in a range of fields including mathematics, computer science, engineering, and data analysis.

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Matrices are a type of data structure that can be used in a variety of ways to represent and manipulate data.

One method for utilizing grids to address information is to store the information as a framework. A table of values, for instance, could be represented by a matrix, with each row representing a distinct data point and each column representing a distinct attribute or feature of the data.

The plural form of a matrix, a rectangular array or table in which numbers or elements are arranged in rows and columns, is referred to as a matrices. They can have as many columns and rows as you want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.

When performing these matrix operations, certain rules must be followed. For example, they can only be multiplied if the first and second columns are exactly the same, and they can only be added or subtracted if they have the same number of rows and columns.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

In general, matrices are extensively utilized in a variety of fields, including mathematics, computer science, engineering, and data analysis. They are a powerful tool for representing and manipulating data in a variety of contexts.

Hence the matrices be used to represent and manipulate data.

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The probability of green balls (a) 1/2, (b)4/9, (c) 5/18 and (d) 1/9.

Explain:

(A) There is a 50% chance of selecting Urn I, and a 50% chance of selecting Urn II. Picking a green ball from Urn I has a 1/3 chance of happening, whereas picking one from Urn II has a 2/3 chance of happening. As a result, the likelihood of selecting a green ball is:

(1/2) * (1/3) + (1/2) * (2/3) = 1/2

(b) As we determined in part, the probability of selecting a green ball from the urn in the first experiment is 1/2. (a). Knowing that we chose a green ball in the first experiment, we can estimate that we did so with a probability of (1/2) * (1/3) / (1/2) = 1/3 from Urn I and (1/2) * (2/3) / (1/2) = 2/3 from Urn II. Consequently, in both experiments, the likelihood of selecting a green ball is:

(1/3) * (2/3) + (2/3) * (1/3) = 4/9

(c) The probability of selecting two green balls from the same urn is calculated as the sum of the probabilities of selecting a green ball on the first and second draws, which is:

(1/2) * (1/3)^2 + (1/2) * (2/3)^2 = 5/18

(d) When we draw one ball from each urn, there are four possible results: (green, green), (green, red), (yellow, green), and (red, yellow).

The probability of the first outcome is (1/2) * (1/3) * (2/3) = 1/9, the probability of the second outcome is (1/2) * (2/3) * (2/3) = 4/9, the probability of the third outcome is (1/2) * (2/3) * (1/3) = 1/9, and the probability of the fourth outcome is (1/2) * (1/3) * (1/3) = 1/18.

Therefore, the probability of picking two green balls is: 1/9.

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Answer:

The 99% confidence interval is (-20.774, 2.774)

Step-by-step explanation:

The 60 seconds and 120 seconds breaking strength measures are;

60 seconds:  43, 52, 52, 58, 49, 52, 41, 52, 56, 51

120 seconds: 59, 55, 59, 66, 62, 55, 57, 66, 66, 51

The Mean and standard deviation for the data are obtained as follows;

The mean strength for the 60 seconds treatment samples, μX = 50.6 N

The standard deviation for the 60 seconds treatment samples, sX = 5.211099 N

The number of threads in the sample, n₁ = 10

The mean strength for the 60 seconds treatment samples, μY = 59.6 N

The standard deviation for the 60 seconds treatment samples, sY = 5.295701 N

The number of threads in the sample, n₂ = 10

The 99% confidence interval for the difference in mean, is given as follows;

\(\left (\mu X- \mu Y \right )\pm t_{\left(\dfrac{\alpha}{2}, df \right) } \cdot \sqrt{\dfrac{sX^{2}}{n_{1}}+\dfrac{sY^{2}}{n_{2}}}\)

The degrees of freedom, df = n₁ + n₂ - 2 = 20 - 2 = 18

(1 - α)·100 = 99%

α = 1 - 99/100 = 0.01

α/2 = 0.01/2 = 0.005

The critical-t at 0.005 significant level and df = 18 is 2.878

The confidence interval is therefore;

\(C.I. = \left (50.6- 59.6 \right )\pm 2.878 \right) } \times \sqrt{\dfrac{5.211099^{2}}{10}+\dfrac{5.295701^{2}}{10}}\)

C.I. = -9 ± 11.774425

∴ By rounding to three decimal places, the 99% confidence interval is (-20.774, 2.774).

The value of LO if RU is 6 inches is solved to be 30 inches

This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions

Examining the figure when LM is 45 inches, and RS is 9 inches

the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5

9 * 5 = 45

when RU = 6 inches

6 * 5 = 30 inches

hence LO is 30 inches

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The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

In the given question,

We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.

Since we have to find the image after a dilation.

So we learn about it now,

Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.

So the given point is (-9,12).

Scale factor is 1/3.

So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as

=(-9×1/3,12×1/3)

Simplifying

=(-3,4)

Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

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Answer:

3

Step-by-step explanation:

Answer:

3/9ths

Step-by-step explanation:

A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.

B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.

C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.

D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.

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Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

Answer: 22 sophomores were surveyed

Step-by-step explanation:

Answer:

IT IS NOT A FUNCTION

Step-by-step explanation:

6 and 6 are both inputs so it is not a function.

& 2 and 2 are also the same

There must be one individual input (x) for it to be an function

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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Answer:

.84

Step-by-step explanation:

21/25 = .84

Answer:

3.75

Step-by-step explanation:

Just divide it in the future!! :)

Answer:

$0.24

Step-by-step explanation:

There are 48 ounces in 3 pounds. Divide 48 by 11.52 to get the unit rate, and the unit rate is $0.24 per ounce

Answer:

57.75-(57.75*0.7)=17,325

Or 100-70=30

So 57.75*0.3=17.325

Answer:

$40.425

Step-by-step explanation:

hope it helps good luck

Answer:

2/5

Step-by-step explanation:

There are a total of 4+3+2+1=10 marbles in the bag. Since there is an equal chance of drawing any marble from the bag, the chances of drawing a red marble is equal to the number of red marbles divided by the total number of marbles.

What we're given:

Therefore, the probability of drawing a red marble is:

\(\frac{4}{10}=\boxed{\frac{2}{5}}\)

Answer: Most probably

Step-by-step explanation:

Answer:

2/6= 1/3

Step-by-step explanation:

Answer:

p=0.4

Answer and Explanation:

Probability of drawing a green marble is p=0.4.

Answer:

z = 3/31

Step-by-step explanation:

5z + 3 = 36z

subtract 5z on both sides

3 = 31z

divide by 31 on both sides

z = 3/31

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

The length of the rectangle is 96 m, the width of the rectangle is 77 cm , the length of the rectangle is 1/8 mile, the length and width of the rectangle is 7 m and 42 m respectively, VW is  11 units.

According to the question,

1) Perimeter of rectangle = 344 M

Width = 76 M

Perimeter of rectangle = 2(length + width)

2(length+76) = 344

length+76 = 172

length = 172-76

Length of the rectangle = 96 M

2) Area of a rectangular window = 7315 \(cm^{2}\)

Length of the window is 95 cm.

Area of rectangle = length*width

95*width = 7315

width = 7315/95

Width of the rectangle = 77 cm

3) The perimeter of a rectangular garden is 5/8 mile.

The width of the garden is 3/16 mile.

Perimeter of rectangle = 2(length+width)

2(length+3/16) = 5/8

length+3/16 = 5/(2*8)

length = 5/16-3/16

Length of the rectangle = 2/16 or 1/8 mile

4) The area of a rectangular window is 8256 \(m^{2}\).

The length of the window is 86 m.

Area of rectangle = length*width

86*width = 8256

width = 8256/86

Width of the rectangle = 96 m

5)  The length of a rectangle is six times its width. The perimeter of the rectangle is 98 m.

Let's take width of the rectangle to be x m.

Length of rectangle = 6x m

2(length+width) = 98

2(6x+x) = 98

2*7x = 98

14x = 98

x = 98/14

x = 7 m

Width = 7 m

Length = 7*6 m or 42 m

6) The perimeter of the pentagon is 58 units.

3z+10+z+3+2z-1+10 = 58

6z+10+3-1+10 = 58

6z+22 = 58

6z = 58-22

6z = 36

z = 36/6

z = 6 units

VW = 2z-1

VW = 2*6-1

VW = 12-1

VW = 11 units

Hence, the answer to 1 is 96 m , 2 is 77 cm, 3 is 1/8 mile , 4 is 96 m , 5 is 7 m and 42 m and 6 is 11 units.

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Hey there! :)

-g + 2(3 + g) = -4(g + 1)

Simplify.

-g + 6 + 2g = -4g - 4

Add like terms.

(-g + 2g) + 6 = -4g - 4

Simplify.

g + 6 = -4g - 4

Add 4g to both sides & subtract 6 from both sides to isolate "g."

g + 4g + 6 - 6 = -4g + 4g - 4 - 6

Simplify.

5g = -10

Divide both sides by 5.

5g/5 = -10/5

Simplify.

g = -2

Hope this helped! :)  

Answer: G = -2

Step 1.

Subtract 6 from both sides.

g + 6 - 6 = -4g - 4 - 6

Step 2.

g = -4g - 10

Step 3.

Add 4g to both sides.

g + 4g = -4g - 10 + 4g

Step 4.

Simplify.

5g = -10

Step 5.

Divide both sides by 5.

\(\frac{5g}{5}=\frac{-10}{5}\)

Step 6.

Simplify.

1. Divide 5g by 5.

\(\frac{5g}{5}=g\)

2. Divide -10 by 5.

\(\frac{-10}{5}=-2\)

Hence, -2 is the answer.

Answer:C

C. 25 feet

Step-by-step explanation:

A diver needs to dive 200 feet. She must in 8 equal decents. By dividing 200/8 we will discover how far a diver is travelling in each increment.

200/8=25 feet

Thak you.