A researcher randomly selects 95 high school swimmers and asks them which swim stroke is their strongest and which bathing suit brand they prefer, brand A or brand B. The two-way table displays the data. Suppose one of the students is randomly selected. Let B = the student prefers brand B and F = the student’s strongest stroke is freestyle.

A 5-column table with 3 rows. Column 1 has entries brand A, brand B, total. Column 2 is labeled breast with entries 15, 18, 33. Column 3 is labeled freestyle with entries 19, 26, 45. Column 4 is labeled butterfly with entries 10, 7, 17. Column 5 is labeled total with entries 44, 51, 95. The columns are titled swim stroke and the rows are titled brand preference.

Which of the following is the correct value and interpretation of P(F|B)?

Answer:

I think it is 399.

Step-by-step explanation:

The average speed of the total journey is 75 kilometres per hour.

Anil completes the 72 kilometres journey between Bristol and Cardiff for 48 minutes. He then drive 69 kilometres from Cardiff to Swansea at an average speed of 60 kilometres per hour.

Therefore, let's find Anil average speed for the total of his journey as follows:
speed of his first journey = distance / time

speed of his first journey = 72 / 48

speed of his first journey = 1.5 km/minutes = 90 km/hrs

Therefore,

average speed of the total journey = 90 + 60 / 2

average speed of the total journey = 150 / 2

average speed of the total journey = 75 kilometres per hour

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Yet because we can compare the set of positive rational numbers exactly to the collection of natural numerals, we may infer that the set of positive rational must have a number of clusters of 0, or n(Q+)=0. Due to the fact that these two numbers must equal one another, 02 = 0.

Since they may be arranged in a one-to-one correspondence with the natural numbers (the integers, such as 1, 2, and 3), Cantor showed in 1873 that the rational numbers, although being infinite, are countable (or denumerable).

How are the rational numbers counted as a group?

To achieve this, we take into account the this double integers grid upon that positive orthogonal. If p and q are positive natural numbers, then p/q may be used to represent any positive valid value.

Simply put, we establish the following values: h(0) = 0, h(2n) = f(n), for all natural numbers n > 0, and h(2n-1) = g(n) = -f(n), for all natural numbers n > 0.

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Answer:

They're not promise

Step-by-step explanation:

I did it on the calculator

I hope this helps youuu

Have a good day <3

The values for the variables x and y in the parallelogram are equal to 10 and 17 respectively.

The parallelogram OPSR have two pairs of parallel sides hence OP = RS and PS = OR.

We shall evaluate for variables x and y as follows:

2x - 1 = x + 9

2x - x = 9 + 1 {collect like terms}

x = 10

y = x + 7

y = 10 + 7 {substituting 10 for x}

y = 17

Therefore, the values for the variable x and y in the parallelogram are equal to 10 and 17 respectively.

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The author's purpose in the text is to teach readers how to make animal silhouette art using simple supplies.

The text provides a clear set of instructions, starting with finding a picture of an animal, copying its outline onto cardboard, cutting out the silhouette, and then using strips of magazine paper to create a colorful design. The author gives specific details on how to cut the strips, glue them to the cardboard, and trim them to make a finished piece of art. The use of the second-person point of view, such as "you will create," suggests that the author intends for the reader to follow the instructions and make their own animal silhouette art. Overall, the text is informative and instructional, providing a step-by-step guide to creating art with readily available materials.

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The complete question is:

One great thing about making art is that you can use almost any supplies. In this project, you will create animal silhouettes from three simple supplies: old magazines, cardboard, and glue.

First, find a picture of an animal that you like. Copy its outline onto a piece of cardboard, and cut out the cardboard silhouette. Next, cut narrow strips from the magazines. The pages you choose will determine what colors the animal will be.

Now, glue the side of the strip by side onto the cardboard shape, with the ends extending beyond the cardboard's edges. Trim the strips carefully along the edges. Ta-da! Your colorful animal art piece is finished.

Which author's purpose is suggested by the text?

The area of given polygon is 44 square units from the given graph.

What is Polygon ?

A polygon is a 2-dimensional geometric shape that is formed by joining a finite number of straight line segments to form a closed shape.

The area of each triangle can be found by using the formula:

Area = (base * height)/2

Triangle 1: Base = 4 units, Height = 5 units

Area of Triangle 1 = (4*5)/2 = 10 square units

Triangle 2: Base = 8 units, Height = 3 units

Area of Triangle 2 = (8*3)/2 = 12 square units

The area of the trapezoid can be found by using the formula:

Area = (Sum of parallel sides * Height)/2

Trapezoid: Height = 4 units, Parallel side 1 = 3 units, Parallel side 2 = 7 units

Area of Trapezoid = ((3+7)*4)/2 = 20 square units

Therefore, the total area of the polygon is:

Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Trapezoid

Total Area = 10 + 14 + 20 = 44 square units

Hence, The area of given polygon is 44 square units from the given graph.

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The surface area of the rectangular solid with length 5 inches, width 2 inches, and height 4 inches is 76 sq inch. The answer is D.

What is surface area of rectangular solid ?

The surface area of a rectangular solid (also known as a rectangular prism) is the total area of all its faces. It can be calculated using the formula:

SA = 2lw + 2lh + 2wh

where l is the length of the rectangular solid, w is its width, and h is its height.

The rectangular solid has six faces: a top face, a bottom face, a front face, a back face, a left side face, and a right side face. The formula above accounts for the area of each of these faces.

According to the question:
The formula for the surface area of a rectangular solid is:

SA = 2lw + 2lh + 2wh

We are given that the length (l) of the solid is 5 inches, the width (w) is 2 inches, and the height (h) is 4 inches. Substituting these values into the formula, we get:

SA = 2(5)(2) + 2(5)(4) + 2(2)(4)

= 20 + 40 + 16

= 76 square inches

Therefore, the surface area of the rectangular solid with length 5 inches, width 2 inches, and height 4 inches is 76 square inches. The answer is D.

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A tangent line is a straight line that intersects a circle at only one point, and it is perpendicular to the radius that goes through that point.

Tangent lines are important because they help us determine the relationship between circles and other geometric shapes.
To find the tangent line to a circle, we need to first identify the point of intersection between the circle and the line.
A tangent line to a circle is a line that intersects the circle at exactly one point, called the point of tangency. The tangent line is perpendicular to the radius that intersects the point of tangency.

m = [tex]\frac{-1}{r}[/tex]

where m is the slope of the tangent line, and r is the radius of the circle.

The equation of a tangent line to a circle can be found using the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the point of tangency and m is the slope of the tangent line.

The length of the tangent segment from the point of tangency to the point of intersection with a secant line can be found using the formula:

[tex]t^2[/tex] = s1 * s2

where t is the length of the tangent segment, and s1 and s2 are the lengths of the two segments of the secant line that intersect the circle.
In terms of calculating the tangent line, we can use the point-slope formula.

Let's say we have a circle with equation [tex]x^2[/tex] + [tex]y^2[/tex] = [tex]r^2[/tex] and we want to find the tangent line at the point (a,b).

We can start by taking the derivative of the equation with respect to x, which gives us 2x + 2yy' = 0.

Solving for y', we get y' = -x/y.

Then, we substitute the values of x and y at the point of intersection (a,b) to get the slope of the radius at that point.

Finally, we take the negative reciprocal of that slope to get the slope of the tangent line, and use the point-slope formula to find the equation of the tangent line.
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Answer:

To determine if Daniel should have filled out his W-4 form differently to receive a refund, we need to compare his tax liability with the total amount withheld from his paychecks for the year.

If Daniel's tax liability for the year is less than $3,900, he will receive a refund when he files his taxes. If his tax liability is more than $3,900, he will owe additional taxes when he files his taxes.

If Daniel's tax liability is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes.

Therefore, to determine if Daniel should have filled out his W-4 form differently, we need to compare his tax liability with $3,900.

If Daniel's tax liability from part B, question 3, is less than $3,900, he will receive a refund when he files his taxes, as the total amount withheld from his paychecks is more than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to reduce the amount withheld from his paychecks and increase his take-home pay.

On the other hand, if Daniel's tax liability from part B, question 3, is more than $3,900, he will owe additional taxes when he files his taxes, as the total amount withheld from his paychecks is less than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to increase the amount withheld from his paychecks and reduce the amount he will owe when he files his taxes.

If Daniel's tax liability from part B, question 3, is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes, and his W-4 form is correctly filled out for his tax situation.

In summary, whether or not Daniel should have filled out his W-4 form differently to receive a refund depends on his tax liability compared to the total amount withheld from his paychecks. If his tax liability is less than the total amount withheld, he may want to reduce the amount withheld to increase his take-home pay. If his tax liability is more than the total amount withheld, he may want to increase the amount withheld to reduce the amount he will owe when he files his taxes. If his tax liability is exactly equal to the total amount withheld, his W-4 form is correctly filled out for his tax situation.

It will take 7.5 years for the population to triple, and 10 years for the population to quadruple.

The population of a community is known to increase at a rate proportional to the number of people present at time t. This means that the rate of increase is directly proportional to the population.

If an initial population of p0 has doubled in 5 years, we can calculate how long it will take to triple or quadruple the population.

To triple the population, we use the equation: t = (5 years x 3) / 2, where t is the amount of time it takes for the population to triple. This gives us t = 7.5 years.

To quadruple the population, we use the equation: t = (5 years x 4) / 2, giving us t = 10 years.

In summary, it will take 7.5 years for the population to triple, and 10 years for the population to quadruple.

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Answer:4x + 3x + 2x - 4 - 3

Step-by-step explanation:Hope this helps

The number of feet away is the base of the ladder from the end of the slide, g, as shown is 3 ft.

The base of the ladder from the end of the slide forms a right triangle.

Hypotenuse² = opposite² + adjacent²

Hypotenuse = 5 ft

Opposite = 4 ft

Adjacent = g

So,

Hypotenuse² = opposite² + adjacent²

5² = 4² + g²

25 = 16 + g²

subtract 16 from both sides

25 - 16 = g²

9 = g²

find the square root of both sides

√9 = g

g = 3 ft

In conclusion, the base of the ladder is 3 ft away from the end of the slide.

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Step-by-step explanation:

5x-2(x+1)=10

5x-2x+2=10

3x+2=10

3x=10-2

3x=8

8/3

2.7 if you do round it

2.666666667 before you do

x=2.7

(I think it's right Because I've already been taught this if not just tell me.)

The two solutions to the equation (2x - 3)(3x + 5) = 0 when solved are x = 3/2 and x = -5/3

Given that, we have the following equation

(2x - 3)(3x + 5) = 0

The above equation means that

2x - 3 = 0 and 3x + 5 = 0

When the equations are evaluated, the equations becoms

2x = 3 and 3x = -5

Lastly, we divide both sides of the equation by the coefficent of x i.e 2 and 3

So, we have

x = 3/2 and x = -5/3

So, the values of the solutions to the equation are x = 3/2 and x = -5/3

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After solving the equations we know that the price of each blouse and each skirt is $25 and $30 respectively.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the cost of each blouse and skirt:

x be the price of one blouse and y is the price of one skirt.

For a total of $215, Carol purchased 3 skirts and 5 blouses.

5x + 3y = 215

For a total of $135, Ellen purchased 2 skirts and 3 blouses.

3x + 2y = 135

By resolving the equations in the system:

5x + 3y = 215

3x + 2y = 135

We will obtain:
x = $25

y = $30

Therefore, after solving the equations we know that the price of each blouse and each skirt is $25 and $30 respectively.

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Correct question:

Carol bought 5 blouses and 3 skirts for a total of $215. At the same time, her sister Ellen bought 3 blouses and 2 skirts for a total of $135. What was the price of each blouse and each skirt?

One figure should be rotated to match the other's alignment. Expand one figure till it is the same size as another.

A figure or object in a coordinate plane can be transformed to create a new figure or object that has been relocated, flipped, or altered in some other way. Translations, rotations, and reflections are the three primary forms of transformations. Moving a figure horizontally or vertically without altering its size or shape is known as translation. Rotation entails angling a figure around a fixed point, often known as the rotational center.

given

The subsequent transformations must be used in order to demonstrate similarity between two figures:

Translation (moving the figures to the same spot) (moving the figures to the same position)

Rotation (rotation one figure to fit the other) (rotating one figure to match the other)

Dilation (resizing the figures such that they have the same shape, but maybe different sizes) (resizing the figures so that they have the same shape, but possibly different sizes)

Consequently, the following set of transformations should be used to demonstrate that the figures abc and def are similar.

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Answer:

Step-by-step explanation:

fsffd

Answer:

1.5 or about 1 or 2 maybe

hope this helpd

Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for the five exams.

To find out what score Andace needs to get on the fifth exam, we can use the formula for the average (also known as the mean):

Average = (sum of all scores) / (number of scores)

We know that Andace needs an average of 90 or better for the five exams. Therefore, the sum of all five scores must be at least 450 (90 multiplied by 5).

The sum of Andace's first four scores is:

96 + 84 + 95 + 82 = 357

To get an average of 90 or better for the five exams, Andace needs to get a total of:

450 - 357 = 93

on her fifth exam.

Since she has already taken four exams and the maximum score she can get on her fifth exam is 100, we can subtract her first four scores from 93 to find out what she needs to score on her fifth exam:

93 - 96 - 84 - 95 - 82 = -164

Since it's not possible for Andace to score a negative number on her fifth exam, we can conclude that she needs to score at least 98 (93 - 5) to have an average of 90 or better for the five exams.

In conclusion, Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for all five exams.


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The answer on the number line is 1) √2,√3,√4,√5,√6,√7,√8,√9,√10 . 2). A. √62 (between 7 and 8 on the number line),B. √84 (between 9 and 10 on the number line),C.

In mathematics, perfect square is integer that is square of an integer. In other words, perfect square is  non-negative integer that can be expressed as  product of some integer multiplied by itself.

1). The first perfect square is 1, so it is already placed on the number line. The other perfect squares are:

4,9,16,25,36,49 64,81,100

You can place each of these numbers on the number line above the corresponding tick mark.

2). Place the following letters on their approximate place on the number line above.

To place each letter on the number line, you need to estimate its value based on its square root. For example, the square root of 62 is between the square roots of 49 and 64, so you can place letter A between those two numbers on the number line.

Here are the estimated values and approximate placements for each letter:

A. √62 (between 7 and 8 on the number line)

B. √84 (between 9 and 10 on the number line)

C. √23 (between 4 and 5 on the number line)

D.√34 (between 5 and 6 on the number line)

E. √54 (between 7 and 8 on the number line)

F. √12 (between 3 and 4 on the number line)

G. √77 (between 8 and 9 on the number line)

H. √45 (between 6 and 7 on the number line)

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The probability that both marbles are red is 2/14 or 1/7.

This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7

In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.

In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.

The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).

In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.

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If there are 243 students at the school, then there are 81 students at Rolling Hills Middle School who have pets.

If the ratio of the total number of students to the number of students with pets at Rolling Hills Middle School is 3 to 1, this means that for every 3 students at the school, there is 1 student with a pet.

Let's represent the total number of students at the school as "3x" (since the ratio is 3 to 1, we can use any multiple of 3 as a placeholder for the total number of students), and the number of students with pets as "x". Therefore, we can write the following equation:

3x : x = 3 : 1

To solve for x, we can cross-multiply:

3x * 1 = x * 3

3x = 3x

We can see that the equation is true for any value of x, which means that there are many possible solutions. However, since we know that the total number of students at the school is 243, we can use this information to solve for x:

3x = 243

x = 81

Therefore, there are 81 students at Rolling Hills Middle School who have pets.

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Check the picture below.

[tex]x^2=(8+2)(2)\implies x^2=20\implies x=\sqrt{20}\implies x\approx 4.5[/tex]

The value of x is 4.5 rounded to the nearest tenth.

Tangent of a circle is defined as the line which passes through exactly one point on the circle.

Secant of a circle is the line which passes through two points on the circle.

Secant-Tangent Rule states that if a tangent and a secant are drawn to a circle from the same point outside the circle, then the square of the length of the tangent segment is equal to the product of the lengths of secant and the segment of secant outside the circle.

Using the theorem, we can say here that,

(8 + 2) 2 = x²

x² = 10 × 2

x² = 20

x = √20

x = 4.472 ≈ 4.5

Hence the value of x is 4.5.

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The values of a measured at two different heights may or may not be the same, depending on the nature of the thing being measured and the conditions of the measurement.

Why may or may not the values of a measured thing at two different heights be the same?

The value of a measured quantity depends on various factors such as the measurement instrument, the conditions of the measurement, and the nature of the thing being measured. In some cases, the values of a measured thing at different heights may be the same, while in other cases they may differ.

Factors that effect the measurement :
Whether the values of a measured thing at two different heights will be the same depends on the nature of the thing being measured and the conditions of the measurement. For example, if we measure the air pressure at two different heights, we may expect the values to be different, as air pressure decreases with increasing altitude. On the other hand, if we measure the temperature of a room at two different heights, we may expect the values to be approximately the same, as the temperature is usually well-mixed throughout the room.

Similarly, the values of other measured quantities such as sound intensity, light intensity, and humidity may also differ or be the same at different heights, depending on the conditions of the measurement and the nature of the thing being measured. Therefore, it is important to consider these factors when making measurements and interpreting their results.

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Answer: x= 71

Step-by-step explanation:

Since each triangle has a sun of all the angles to equal 180, we can figure what is X.

The value of f(4) using recursive formula f(1) = 10 and f(n) = f(n-1) + 4 for n ≥ 2  is 22

Given that f(1) = 10 and f(n) = f(n-1) + 4 for n ≥ 2.

To find the value of f(4), we can use the recursive formula to work our way up from f(1) to f(4):

Using the above as a guide, we have the following:

f(2) = f(1) + 4 = 10 + 4 = 14

Next, we have

f(3) = f(2) + 4 = 14 + 4 = 18

Next, we have

f(4) = f(3) + 4 = 18 + 4 = 22

Therefore, the value of f(4) is 22.

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The adaptive-response-rate single exponential smoothing model is best applied to time series data that are non stationary and seasonal which means option D is the right answer.

The adaptive response rate single exponential smoothing model is used to demonstrate the changes in the forecasting data and the fluctuation in data values with respect to time which are smoothened by a coefficient. The larger the coefficient, the greater the smoothing effect.

This kind of model is ineffective for stationary time series as it takes into account the smoothing of the information. Adaptive smoothing is computationally difficult. Exponential smoothing produces accurate forecasts. The forecast shows projected demand and actual demand.

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Answer:

9/14

Step-by-step explanation:

add them