a building is 300ft long. on a scale drawing ,1inch =25ft. what is the length of the building in the scale drawing?

The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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As a result, the answer to the following question, As a result, the length triangle of side JS is 18.

A triangle is a polygon because it contains four or more parts. It features a simple rectangular shape. A triangle ABC is a rectangle with the edges A, B, and C. When the sides are not collinear, Euclidean geometry produces a single plane and cube. If a triangle contains three components and three angles, it is a polygon. The corners are the points where the three edges of a triangle meet. The sides of a triangle sum up to 180 degrees.  

We must apply the Pythagorean theorem to answer question 19. We know that JN is the hypotenuse of a right triangle with legs of 6 and 8 lengths. As a result, we may apply the formula:

\(JN^2 = 6^2 + 8^2\\JN^2 = 36 + 64\\JN^2 = 100\\JN = square root (100)\\JN = 10\\\)

As a result, the length of side JN is 10.

JS/NS = JM/JN

When we substitute the provided values, we get:

12/10 = JS/NS

When we simplify the left side, we get:

6/5 = JS/NS

When we multiply both sides by NS, we get:

JS = (6/5)NS

We also know that NS is 15, therefore we may substitute that number for:

\(JS = (6/5) * 15\sJS = 18\)

As a result, the length of side JS is 18.

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The cost of the ribbon required to glue around the semicircular window is approximately $6.11, rounded to the nearest cent.

To calculate the cost, we need to find the circumference of the semicircular window and then multiply it by the price per foot of the ribbon. The formula for the circumference of a semicircle is C = π * r, where r is the radius. In this case, the radius (w) is given as 3 feet.

Using the value of π as 3.14, we can calculate the circumference: C = 3.14 * 3 = 9.42 feet. Next, we multiply the circumference by the price per foot of the ribbon, which is $0.65: Cost = 9.42 * $0.65 = $6.123, which rounds to approximately $6.11. Therefore, the cost of the ribbon required to glue around the semicircular window is approximately $6.11, rounded to the nearest cent.

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Answer:

a) FC ←→ and BD ←→ are distinct lines that intersect.

b) B , C and D are distinct points that are collinear.

c) Another name for plane \(X\) is plane AEF.

d) E , A , F and C are distinct points that are coplanar.  

Step-by-step explanation:

The first step to solve this question is to look carefully at the picture.

For a) :

We can see that the line FC and the line BD intersect at the point C.

We can write :

a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→  or AE ←→).

For b) :

We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).  

We can write :

b) B , C and D are distinct points that are collinear.

For c) :

We can name any plane using three points which are contain in the plane but this three points must not be collinear points.

We can name the plane \(X\) using the points A , E and F (this is a possible solution).

We can write :

c) Another name for plane \(X\) is plane AEF.

Finally, for d) :

Two or more points are coplanar wherever they belong to the same plane.

In the picture, the points A , E , F and C belong to the plane \(X\).

We can write :

d) E , A , F and C are distinct points that are coplanar.

Answer:

Step-by-step explanation:

2v+27=75

2v=75 - 27

2v=48

v= 24 visits

So, she needs 24 visits

Answer:

Width <= 12

Width >= 6

Step-by-step explanation:

36 <= 2(12) + 2x <= 48

36 <= 24 + 2x

36 - 24 <= 2x

12/2 <= x

x >= 6

24 + 2x <= 48

2x <= 48 - 24

x <= 24/2

x <= 12

The compound inequality used to define the range of values of the width of the garden w is 6 ≤ w ≤ 12. This gives us the range of values for the width of the garden as {6 feet, 7 feet, 8 feet, 9 feet, 10 feet, 11 feet, 12 feet}.

Compound equality is a statement including more than one inequality operation (>, <, ≥, ≤, ≠).

In the question, we are informed that Elouise is creating a rectangular garden in her backyard. The length of the garden is 12 feet. The perimeter of the garden must be at least 36 feet and no more than 48 feet.

We are asked to use a compound inequality to find the range of values for the width of the garden.

The perimeter of a rectangle is given by the formula,

Perimeter = 2*(Length + Width)

Let the width of the garden be w feet.

∴ The perimeter of the garden = 2*(Length + Width) = 2*(12 + w).

We have been informed that the perimeter is at least 36 feet. This can be represented by the inequality, 2*(12 + w) ≥ 36

or, 12 + w ≥ 36/2

or, 12 + w ≥ 18

or, w ≥ 18 - 12

or, w ≥ 6 ... (i)

We have been informed that the perimeter is no more than 48 feet. This can be represented by the inequality, 2*(12 + w) ≤ 48

or, 12 + w ≤ 48/2

or, 12 + w ≤ 24

or, w ≤ 24 - 12

or, w ≤ 12 ... (ii).

Combining (i) and (ii), we get the required compound inequality,

6 ≤ w ≤ 12.

This gives us the range of w to be {6 feet, 7 feet, 8 feet, 9 feet, 10 feet, 11 feet, 12 feet}.

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Answer: (5,5)

Step-by-step explanation:

The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is \(y=-x+10\).

Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.

If x=5, then y=5 as well.

So, F has coordinates (5,5).

Answer:

b ≤ 24

Step-by-step explanation:

Treat it like a two-step equation:

1/3b - 4 ≤ 4​

Add 4 on both sides: 1/3b - 4 (+4) ≤ 4​ (+4)

1/3b ≤ 8

Multiply 3 on both sides (3)1/3b ≤ 8(3)

b ≤ 24

Answer:

Base × height

8 multiply 15 is equals to 120 square inches

GL

The probability of t being greater than 1.103 when n=26 is 0.8589.

To answer these questions, we need to use the t-distribution table. We know that the degrees of freedom (df) is n-1=26-1=25.

For question 24, we need to find the probability of t being greater than 1.058 with df=25. Looking at the t-distribution table, we can find the closest value to 1.058 which is 1.06.

The corresponding probability in the table is 0.1476. However, since we want the probability of t being greater than 1.058, we need to subtract this value from 1. So:

p(t > 1.058) = 1 - 0.1476 = 0.8524

Therefore, the probability of t being greater than 1.058 when n=26 is 0.8524.

For question 25, we need to find the probability of t being greater than 1.103 with df=25. Using the t-distribution table, we can find the closest value to 1.103 which is 1.10.

The corresponding probability in the table is 0.1411. Again, since we want the probability of t being greater than 1.103, we need to subtract this value from 1. So:

p(t > 1.103) = 1 - 0.1411 = 0.8589

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Assuming that these are two-tailed tests of a t-distribution with 25 degrees of freedom (since n = 26), we can use a t-table or a calculator to find the probabilities.

For the first question, we want to find the probability of getting a t-value greater than 1.058, which corresponds to the right tail of the t-distribution. Using a t-table or a calculator, we find that the area to the right of 1.058 is approximately 0.149, or 14.9% (rounded to one decimal place). Therefore, the p-value for this test is 0.149.

For the second question, we want to find the probability of getting a t-value greater than 1.103, which corresponds to the right tail of the t-distribution. Using a t-table or a calculator, we find that the area to the right of 1.103 is approximately 0.136, or 13.6% (rounded to one decimal place). Therefore, the p-value for this test is 0.136.

Note that the p-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming that the null hypothesis is true. Depending on the significance level chosen for the test, we can use the p-value to either reject or fail to reject the null hypothesis.

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The data value that corresponds to the 46th percentile is 10.

To find the data value that corresponds to the 46th percentile, we need to arrange the given data in ascending order and then identify the value at the desired percentile.

Arranging the data in ascending order:

7, 12, 14, 16, 19, 19, 19, 25, 25, 27, 28, 28, 34, 37, 38, 40, 53, 69, 92, 115, 200

Since we have 21 data values, the 46th percentile corresponds to the (46/100) * 21 = 9.66th value.

To find the corresponding data value, we round up the decimal value to the nearest whole number, which is 10.

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As per the question, for finding the 2 square root to estimate 10 will come out to be as \(\sqrt{10} = 3.162\)

In order to find \(\sqrt{10}\), pick a perfect square less than 10 and another perfect square greater than 10. \(\sqrt{9}\) = 3. \(\sqrt{16}\) = 4, so. \(\sqrt{10}\) is therefore far closer to \(\sqrt{9}\) than the projected number. The outcome of multiplying an integer by itself is referred to as the number's square root. The square root of a number can be found by looking for a number that, when squared, yields the original value. The square value of a number is acquired by multiplying it by itself. The square root of a number x is a number y such that \(y^{2}\) = x or a number y whose square is x.

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Answer:

\((2,-1)\)

Step-by-step explanation:

The solution of the systems of equations in the graph is 'the point of intersection'

The point of intersection is the point at which two lines meet or intersect.

For this graph, the point of intersection is the point where the the red and blue graph meet. The x and y values (or coordinates) have to be read from the graph.

From the graph:

x = 2

y = \(-1\)

Together these x and y values form an ordered pair

∴Ordered pair is \((2,-1)\)

Answer:

Neither of them are solutions unless you had a typo in the question.

Step-by-step explanation:

1) plug in the known values into both of the equations

First Coordinate:

y-x\(\leq\)-5
(1)-(0)\(\leq\)-5
1\(\leq\)-5 which is not true.
In this case, we do not need to plug in (0,1) into both of the equations because the coordinate cannot be a solution unless the coordinate works in BOTH of the equations.

Second Coordinate:

1)  y-x\(\leq\)-5
(-6)-(-1)\(\leq\)-5

(-6)+1\(\leq\)-5 -->    It becomes a +1 because two negatives make a positive

-5 \(\leq\)-5 - -> which means this is true because -5 is less than or equal to -5

2) y-2x>-5
(-6)-2(-1)>-5

-6(2)>-5
-12>-5 NOT TRUE

ANSWER: Neither of them are solutions unless you had a typo in the question.

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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Answer:

\(slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3\)

Answer:

70.2g

Step-by-step explanation:

62.4 g will make 8 cakes, so to find out how much sugar we need to make

1 cake will divide 62.4 into 8 equal parts.

62.4/8 = 7.8g of sugar is needed to make 1 cake

62.4+7.8 = 70.2g  will make 9 cakes

The number of ways the foreign language club can choose 4 movies from the available is \(nC4 = n! / 4!(n-4)!\).

To calculate the number of ways the foreign language club can choose four movies from the available subtitled movies, we need to use the combination formula, which is:

\(nCr = n! / r!(n-r)!\)

Where n is the total number of available subtitled movies and r is the number of movies to choose (in this case, r=4).

Assuming there are at least four subtitled movies available, the number of ways to choose four movies would be:

\(nC4 = n! / 4!(n-4)!\)

Simplifying the equation further, we have:

\(nC4 = (n * (n-1) * (n-2) * (n-3)) / 4 * 3 * 2 *1\)

Therefore, the number of ways the foreign language club can choose four movies from the available subtitled movies is given by the formula nC4.

The formula calculates the number of possible combinations of four movies that can be selected from the total number of available subtitled movies, without regard to the order in which they are shown.

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The option 1 "A clockwise rotation of 90 degrees and then a dilation by a scale factor of 2", option 3 "A clockwise rotation of 90 degrees and then a reflection across the y-axis." and option 5 "A translation 5 units down and then a clockwise rotation of 90 degrees." are correct.

In the given question,

A sequence of transformations is applied to ACDE to create AC'D'E'.

We have to select all of the sequences of transformations that could be applied to ACDE so that ACDE = AC'D'E'.

Firstly we learn about Transformation

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

We can transform an object by translation, rotation, reflection, and enlargement.

So according to explanation we can see that

Option 1 is correct because in this option we transform the ABCD by rotation of 90 degrees and then a dilation by a scale factor of 2. In this option only shape is changing.

Option 2 is not correct because in this option we used both dilation by a scale factor of 2 and then a reflection across the y-axis. In this option shape and size both changes.

Option 3 is also correct because in this option we rotate 90 degree in clockwise direction and then a reflection across the y-axis. So there only change the position.

Option 4 is not correct because there is a translation by 5 units down and then a dilation by a scale factor of 2. It will change the shape and direction both.

Option 5 is correct because there is a translation by 5 units down and then a clockwise rotation of 90 degrees. It will change only shape.

Option 6 is not correct because there is reflection across the y-axis and then a translation 5 units down.

Hence, the option 1,3 and 5 are correct.

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Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

The answers to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

In a fraction, the number above the line is the numerator.

For instance, the numerator of the fraction 3/5 is 3.

A fraction's numerator displays the number of pieces that make up the whole while the denominator, or a number of equal parts, is displayed below the line.

So, we have the equation:

2x² + x/2x - 2 + x - 4/ 2x - 2

Now, answering questions taking the above-given equation into consideration:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

(3) We complete the square, but we can also use the straightforward factoring approach.

(4)  We eliminate or simply cancel the factors in the numerator that are also present in the denominator to simplify the sum.

Therefore, the answer to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

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Answer:

center = (-5, -7)

radius = 21

Step-by-step explanation:

Equation of a circle

\((x-a)^2+(y-b)^2=r^2\)

where:

Given equation:

\((x+5)^2 + (y+7)^2 = 21^2\)

Comparing the given equation with the standard equation of a circle:

Hence, the coordinates of centre is (-5,-2).

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The given equation  of circle,

(x+5)² + (y+7)² = 21²

We know that,

Equation of a circle is:

(x-a)² + (y-b)² = r²

where:

(a, b) is the center

And r is the radius

Comparing with the given equation we have,

center = (-5,-7)

And radius = 21 units

Thus,

Coordinates =  (-5,-7).

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Answer:12.8

Step-by-step explanation:

4(7.2-4)

4(3.2)

12.8

Answer: If you evaluate i guess 12.8

Step-by-step explanation:

The probability that at least one 6 will occur on two dice is 30.5%.

To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. There are differences between probability and odds. Odds are calculated by dividing a situation's likelihood of occurring by its likelihood of not occurring.

1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.

11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.

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Using the concept of likelihood and probability ,The probability that at least one 6 will occur on two dice is 30.5%.

Probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will certainly occur. For example, the probability of flipping a fair coin and it landing on heads is 0.5, or 50%. Probability is used in many fields, including mathematics, statistics, finance, and science. In statistics, probability is used to make inferences about a population based on a sample, while in finance, probability is used to evaluate the potential outcomes of investments.

Conditional probability is the probability of an event occurring given that another event has already occurred. It is written as P(A|B), which is read as "the probability of A given B." For example, the probability of rolling a 6 on a fair die given that the roll is an even number would be P(6|even) = 1/3, because there is only one way to roll a 6 out of the 3 possible even numbers (2, 4, 6).

1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.

11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.

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Answer:What do you need help with?   My name is woods245 and whatever you need help with?

Step-by-step explanation:

Answer

140.29 miles

Step-by-step explanation:

477miles/ 153 gallons = x miles/45 gallons

criss-cross multiplication and solve for x

477 x 45 = 153 x

x = (45x477) / 153 =  140.29 miles

Graphs are attached for reference to create the zombie graph for understanding.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given lines, and match it to the zombie that it "catches".

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept

since, slope = (y - y')/(x -x')

Since Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.

The zombie graph for the given line is attached below with the precision for each zombie.

So, I am attaching graphs for you to consider.

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Answer:

11 ; 13

Step-by-step explanation:

Let the numbers be :

x and x + 2

x * (x + 2) = 6(x + x + 2) - 1

x² + 2x = 6(2x + 2) - 1

x² + 2x = 12x + 12 - 1

x² + 2x = 12x + 11

x² + 2x - 12x - 11 = 0

x² - 10x + 11 = 0

x² - 11x + x + 11 = 0

x(x - 11) + 1(x - 11) = 0

(x - 11) = 0 or (x + 1) = 0

x = 11 or x = - 1

X cannot be negative

x = 11

x + 2 = 11 +2 = 13