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A rectangle has a width of 3 units. The rectangle's length is 5 times its
width.
What is the area of the rectangle?
In square units
Apr 1
Che
11:23 I

The experimental probability that the number rolled was even is 53 over 100.

In a die 2, 4 and 6 are even numbers so sum of there frequency are possible outcome.

Frequency of 2 4 and 6 are 20,18 and 15 respectively.

Possible outcome = 20+18+15 = 53

Total outcome is sum of all frequency, total outcome = 17+20+14+18+16+15 = 100

P(even) = 53/100

Therefore the experimental probability that the number rolled was even is 53 over 100.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

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Answer:

y = x^2 + 8x + 19

Step-by-step explanation:

y=(x+4)²+3

First expand the parentheses:

y = x^2 + 4x + 4x + 16 + 3

y = x^2 + 8x + 19

To  draw the image of triangle △ABC under a dilation with center C and scale factor 2, we need to draw the original triangle, draw lines from C to each vertex,

To draw the image of triangle △ABC under a dilation with center C and a scale factor of 2, we need to follow a few steps. Firstly, we need to draw the original triangle △ABC. Then, we need to draw a straight line from the center of dilation C to each vertex of the triangle. These lines will act as our guides for where the new vertices will be located.

Next, we need to use the scale factor of 2 to determine the distance between the original vertices and the new vertices. This means that we need to multiply the distance between each vertex and the center of dilation by 2. We can then plot the new vertices along the lines we drew in the previous step.

Finally, we can connect the new vertices to form the image of the triangle under the dilation. This image will be twice as large as the original triangle and will be located in the same direction as the lines we drew from the center of dilation to each vertex.

use the scale factor to determine the new vertex locations, and finally connect the new vertices to form the image.

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The true statement about effect size is: The effect size is the extent to which the null or statistical hypothesis is false. Effect size is a measure used in research studies to quantify the magnitude of the difference between groups or the strength of an association between variables.

It helps determine the practical significance of the research findings, as opposed to the statistical significance.
When the effect size is small, detecting it is not necessarily easier, and a larger sample size may be required to achieve adequate statistical power. A larger effect size, on the other hand, might be easier to detect and might require a smaller sample size.
There is not just one type of effect size measure used in research studies. There are various measures of effect size, such as Cohen's d, Pearson's correlation coefficient (r), and odds ratio (OR), among others. Each type of effect size is suitable for different research designs and data types.

Choosing the appropriate effect size measure depends on the research question, the design of the study, and the type of data being analyzed.

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Answer:

covered distance = 97.75 kilometers

Step-by-step explanation:

It's known that:

[tex]speed = \frac{distance}{time}[/tex]

Hence,

[tex]distance = speed\times time[/tex] (*)

Given That:

time = 4.25 hours
speed = 23 km/h

then, by substituting in (*):

[tex]distance = 23 \times 4.25 = 97.75 kilometers[/tex]


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If a simple random of size n is drawn from a population, then the 95% confidence-interval about "μ", if the sample size "n" is 23 is (101.68 , 110.32).

The population from which a simple random of size "n" is drawn is normally distributed,

We have to construct "95% confidence-interval" when n = 23,

So, c = 0.95, n = 23,

⇒ degree of freedom(df) = 23 - 1 = 22,

from t-distribution table, the critical-value corresponding to c = 0.95 and df = 22 is t = 2.074,

the lower bound is = x' - (t×s)/√n = 106 - (2.074×10)/√23 = 101.68,

the upper bound is = x' + (t×s)/√n = 106 + (2.074×10)/√23 = 110.32,

Therefore, the required 95% confidence interval is (101.68 , 110.32).

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The given question is incomplete, the complete question is

A simple random of size n is drawn from a population that is normally distributed, the sample mean (x') is found to be 106, and the sample standard deviation is 10. Construct a 95% confidence interval about "μ", if the sample size "n" is 23.

Answer:

Step-by-step explanation:

im assuming your saying number 3 which is yes

we don't have enough information to determine the exact lengths of the streamers or the distance from the center of the floor to where the second streamer is attached.

Sure, I'd be happy to help! Based on the information you provided, we know that Belle is hanging two streamers of different lengths at the peak of the ceiling for her brother's surprise birthday party. The center of the floor is directly underneath the ceiling peak.

We also know that the distance along the floor from the center of the room to where the first streamer is attached is 6 feet.

Since the second streamer is attached to the floor further from the center of the floor than the first streamer, we can infer that the second streamer is longer than the first streamer.
I hope this helps! Let me know if you have any other questions.

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In the frequency table, we can see that the most common reason for taking a gap year is travel, with a frequency of 5.

To draw up a frequency table for the given question, we can use the following : List down the reasons:

List down the five different reasons for taking a gap year.

Count the frequency of each reason:

Tally the number of times each reason appears in the data.

Let's say we have the following data:

Reasons for taking a gap year:

Travel Work Experience Family Medical Total Tally

the number of times each reason appears in the data:

Reasons for taking a gap year Tally Frequency Travel Work Experience Family Medical Total

Draw the frequency table:

Draw the frequency table by filling in the tally and frequency columns.

The final frequency table should look like this:

Frequency Table Reasons for taking a gap year Tally Frequency Travel [tex]||||5Work|||3Experience||||4Family||2Medical|1|2| Total5 3 4 2 2 16[/tex]

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To increase the value of the expression 1/3A-B^2, increasing A and keeping B constant will cause the expression's value to increase.

This is because the expression has a linear term of A and a quadratic term of B^2. Increasing A will result in a larger linear term, which will increase the value of the expression. None of the other options will necessarily increase the value of the expression. Keeping AAAA constant and decreasing BBBB or decreasing A and keeping B constant will both cause the value of the expression to decrease while keeping AAAA constant and increasing BBBB will only increase the quadratic term of the expression and may or may not result in an overall increase depending on the values of A and B.

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The factorization for 8i is 3x(5x+1)(x-2), which can also be checked by multiplying the factors and verifying that the result is equal to the original polynomial.

Polynomial     GCF Factored with GCF Factored TrinomiaL  Final  

9x^4 + 3x^3 -1222 1     NA                                   NA                                        

2x^2 + 3x - 9        1    NA     (2x-3)(x+3)                    (2x-3)(x+3)

15x^3 - 27x^2 - 6x 3x 3x(5x^2 - 9x - 2) not factorable 3x(5x+1)(x-2)

9a) Factorization from 8d: not factorable

9b) Factorization from 8h: (2x-3)(x+3)

9c) Factorization from 8i: 3x(5x+1)(x-2)

Note: The table shows the factoring process for each polynomial. In question 9, we just need to check the final factorization for each of the polynomials in question 8. The factorization for 8d is not factorable, so there is nothing to check. The factorization for 8h is (2x-3)(x+3), which can be checked by multiplying the factors and verifying that the result is equal to the original polynomial.

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3,523 gallons

As, the scale factor is less than 1 . So, the dilation is the reduction for the image of triangle ABC.

How very much larger (as well as smaller) any item becomes following the transformation is indicated by the dilation factor.

Given data:

A'B'C' is the dilation of triangle ABC.

Scale factor = 1/2  = 0.5

As, the scale factor is less than 1 . So, the dilation is the reduction for the image of triangle ABC

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Answer:

2.083 yards

Step-by-step explanation:

1 inch ≈ 0.0278 yard

75 inches ≈ 2.083 yards

So, 75 inches is about 2.083 yards.

Answer:

75/36 or 2.083

Step-by-step explanation:

We know that there are 36 inches in a yard so just take 75 inches and divide by 36 and you get 2.083

The polygon is translated five units to the right.

A translation does not alter the appearance of a shape; it merely shifts it up, down, or from side to side. A metamorphosis serves as an example of translation. A transformation is a method for changing a shape's size or placement. At each location, the shape is translated in the same direction by the same amount.

The polygon ABCD's vertices are provided to us as A (-1, -1); B (1, -5); C (5, -5) and D (3, -1)

Also, the vertices of second polygon A'B'C'D' are given as A' (4, -1); B' (6, -5); C' (10, -5) and D' (8, -1).

It is evident that neither polygon's y coordinates have changed.

A 5 increment is made to the x-coordinates.

The translation rule in use is therefore (x, y) → (x + 5, y)

As a result, the polygon is translated 5 units to the right.

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The complete question is:

Graph of polygon ABCD with vertices at negative 1 comma negative 1, 1 comma negative 5, 5 comma negative 5, 3 comma negative 1.

A second polygon A' B' C' D' with vertices at 4 comma negative 1, 6 comma negative 5, 10 comma negative 5, 8 comma negative 1.

Determine the translation used to create the image.

1. 5 units to the right

2. 1 unit to the right

3. 5 units to the left

4. 1 unit to the left

Answer:

put 23  

and be my freind pleas i only have 2

The equation of the circle with center (5,5) containing the point (0,-2) is [tex](x - 5)^2 + (y - 5)^2 = 74[/tex]

The standard equation of a circle is given by: (x-h)2 + (y-k)2 = r2 Where (h,k) is the coordinates of center of the circle and r is the radius.

To determine the equation of the circle, we need to find the radius first. Since the center of the circle is (5,5), we can use the distance formula to find the distance between the center and the given point (0,-2):

[tex]distance = \sqrt{[(x2 - x1)^2 + (y2 - y1)^2]}\\distance = \sqrt{[(0 - 5)^2 + (-2 - 5)^2]}\\distance = \sqrt{[(-5)^2 + (-7)^2]}\\distance = \sqrt{[25 + 49]}\\distance = \sqrt{[74]}[/tex]

Therefore, the radius of the circle is sqrt[74].

Now, we can use the standard form of the equation of a circle to find the equation of the circle:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

where (h,k) is the center of the circle, and r is the radius.

Plugging in the values we have:

[tex](x - 5)^2 + (y - 5)^2 = (\sqrt{[74]})^2[/tex]

Simplifying the equation:

[tex](x - 5)^2 + (y - 5)^2 = 74[/tex]

Therefore, the equation of the circle with center (5,5) containing the point (0,-2) is [tex](x - 5)^2 + (y - 5)^2 = 74.[/tex]

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The area of a rectangle is 140.00 square meters.

What is a rectangle?

A rectangle is a 2-dimensional geometric shape with four sides, where each interior angle is a right angle (90 degrees). It is a special case of a parallelogram, where opposite sides are equal in length and parallel to each other.

I assume you are looking for the area of a rectangle with sides 10 m and 14 m, rounded to the nearest hundredth using the approximation π ≈ 3.14.

The area of a rectangle is given by the formula A = lw, where l and w are the length and width of the rectangle, respectively. In this case, l = 14 m and w = 10 m, so:

A = lw = (14 m)(10 m) = 140 m²

Rounding 140 to the nearest hundredth gives 140.00, so the final answer is:

140.00 square meters.

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Full question:

What is the area of a rectangle with sides of length 10 meters and 14 meters, rounded to the nearest hundredth using the approximation π ≈ 3.14?

The 100th permutation in the list is 75931, which starts with the digit 7 and is the 4th permutation starting with 7.

To find the 100th permutation, we can use the formula for the total number of permutations of n distinct objects, which is n! (n factorial).

In this case, there are 5 digits, so there are 5! = 120 permutations in total. Since the permutations are listed in numerical order, we can divide the total number of permutations by 5 to find the number of permutations starting with each digit.

120 ÷ 5 = 24

This tells us that there are 24 permutations starting with each digit. To find the 100th permutation, we need to determine which digit it starts with. We can do this by dividing 100 by 24 and taking the quotient and remainder:

100 ÷ 24 = 4 with a remainder of 4

This tells us that the 100th permutation starts with the fourth digit in the sequence: 7. We now need to find the 4th permutation starting with 7. To do this, we can list all the permutations starting with 7 in numerical order:

7 _ _ _ _ (4! = 24 permutations)

7 1 _ _ _

7 3 _ _ _

7 5 _ _ _

7 9 _ _ _

The 4th permutation starting with 7 is 75_9_, which is the 100th permutation in the list.

Therefore, the 100th permutation in the list is 75931.

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Answer:

0.0399148483 is the answer

Answer:

Your answer is 0.0399

Step-by-step explanation:

Answer:

155.5 square feet

Step-by-step explanation:

A = (1/2)(10)(8.6 + 6.3 + 8.6 + 7.6)

= 5(31.1)

= 155.5 square feet

The difference between the median high temperature and median low temperature is 22.5°F

The data set has an odd number of values, the median is the middle value when the data is arranged in numerical order.

Hence Median of the data is given by

Median = value at position (n + 1) / 2,

where n is the number of data points.

Here we have

The weather forecast is shown.

High 84°F 90°F 82°F  79°F  83°F  92°F  82°F

Low  56°F 63°F 60°F  52°F  60°F  61°F  53°F  

To find the difference between the median high temperature and the median low temperature, Calculate the median temperatures for both high and low temperatures.

To find the median, we need to first arrange the temperatures in ascending order  

For the high temperatures, we have:

79°F, 82°F, 82°F, 83°F, 84°F, 90°F, 92°F

Here median = 4th term [ Since the number of terms 7 is an odd number ]

The median of high temparature = 83°F

For the low temperatures, we have:

52°F, 53°F, 56°F, 60°F, 60°F, 61°F, 63°F

Here median = 4th term [ Since the number of terms 7 is an odd number ]

The median of low temparature = 60°F

The difference between the median high temperature and median low temperature is:

83°F - 60.5°F = 22.5°F

Therefore,

The difference between the median high temperature and median low temperature is 22.5°F

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The fraction equivalent to 3/8 with a numerator and denominator product of 216 is 9/24.

To find the fraction equivalent to 3/8 with a numerator and denominator product of 216, follow these steps:

Set up an equation for the product of the numerator and denominator:

x × y = 216.

Since the fraction is equivalent to 3/8, you can write another equation: x / y = 3/8.

Solve for x in terms of y in the second equation:

x = (3/8) × y.

Substitute this expression for x in the first equation:

(3/8) × y × y = 216.

Solve for y: [tex]y^2 = (8/3) × 216.[/tex]

Simplify the equation: y^2 = 576.

Find the square root of both sides: y = 24.

Now, find x using the equation x = (3/8) × y:

x = (3/8) × 24.

Simplify the expression:

x = 9.

So, the fraction equivalent to 3/8 with a numerator and denominator product of 216 is 9/24.

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Answer:

20

Step-by-step explanation:

You can find this answer multiple ways.

One way is that each y value increases by 5 so following the pattern of 5, 10, 15 the next one would be 20.

Another way is that the the x value is 3 times the y value so we would just have to divide 60 by 3 to get 20.

Answer: 20

Step-by-step explanation:

y is a result of dividing x by 3

15/3 = 5

30/3 = 10

...

60/3 = 20

The perimeter of a shape is the measurement around its edge and it is 101.36 in.

We must sum up the lengths of the quadrilateral four sides to determine its perimeter. Since there are two of each side measurement, it is easy to accomplish this by simply adding the length and width and multiplying the result by two.

Perimeter of given shape = 18 + 27 +27 + perimeter of the arc

the perimeter of the arc = Perimeter of the semicircle = [tex]\pi r[/tex]

Therefore the perimeter of the shape = 72 + 3.14 * 9 = 101.36 in.

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A horizontal compression is identified by a factor inside the function, affecting the input variable, while a vertical compression is identified by a factor outside the function, affecting the output variable.

When examining the formula of a function that is the result of multiple transformations, a horizontal compression can be identified by a factor that appears inside the function, affecting the input variable (typically x). For example, if the original function is f(x) and the horizontal compression is by a factor of 2, the function would be written as f(x/2), indicating that the input values are being compressed horizontally.

On the other hand, vertical compression can be identified by a factor that appears outside the function, affecting the output variable (typically y). For example, if the original function is f(x) and the vertical compression is by a factor of 1/2, the function would be written as (1/2)f(x), indicating that the output values are being compressed vertically.

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It would take the faster computer 525/20 minutes to do the job on its own.

Let the rate of the faster computer be F and the rate of the slower computer be S. Since they can complete the job together in 15 minutes, we have:

F + S = 1/15

We also know that the slower computer takes 35 minutes to do the job on its own, so:

S = 1/35

Now, we can substitute the value of S into the first equation to solve for F:

F + 1/35 = 1/15

F = 1/15 - 1/35

F = (35 - 15) / (15 * 35)

F = 20 / 525

Therefore, the rate of the faster computer is 20/525. To find how long it takes the faster computer to do the job on its own, we take the reciprocal of this rate:

Time = 1/F = 525/20

So, it would take the faster computer 525/20 minutes to do the job on its own.

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The prove that a WXYZ is a parallelogram and WXYZ is a rectangle is given based on the image attached.

To be able to prove that the parallelogram WXYZ is a rectangle, one need to show that it has all the properties of a rectangle. An example of the properties of a rectangle is that it is one that has four right angles.

Hence

From the question, WXYZ is a parallelogram, and ZX = WY.

So to Prove: WXYZ is a rectangle

Therefore, based on the properties listed above, one can prove that the parallelogram is a rectangle.

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y=f(x) has vertex (-4,6)

g(x)=-f(x-2) shifts the graph 2 units to the right, not to the left, and the graph is reflected over the x-axis

therefore the vertex is (-2,6) and the reflection over the x-axis has no affect on the vertex