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Find the area of the part of a typical basketball court shaded in the diagram.

As per the permutation concept the number of ways to seat 5 boys, 5 girls, and 1 (or 2) parent in a circular arrangement around a table such that no boy is to sit next to a boy and no girl is to sit next to a girl is 72,000.

The concept of permutation comes into play when we need to find the number of ways to arrange a set of elements.

We can use the formula for circular permutation, which is (n-1)! where n is the number of elements. In this case,

=> n = 11 (5 boys + 5 girls + 1 parent).

Therefore, the total number of permutations possible is

=> (11-1)! = 10!.

Next, we need to find the number of permutations possible for arranging the boys and girls.

Since each boy or girl can be placed in 5! ways (5 possible positions), the number of permutations for arranging the boys and girls becomes

=> 5! * 5! = 120 * 120 = 144,000.

Therefore, we need to divide the above result by 2. The final answer is

=> 144,000 / 2 = 72,000.

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The relationship between w and s can be represented as s = 3w.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

When 4 grams are added to the spring, the spring stretches 4 × 3 = 12 centimeters.

When 6 grams are added to the spring, the spring stretches 6 × 3 = 18 centimeters.

In this way, if w grams are added to the spring, the spring stretches w × 3 centimeters.

Let s represent the distance the spring is stretched.

s = 3w

Hence the required relationship is s = 3w.

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A 21-ft ladder is leaning against a building. if the base of the ladder is 9 ft from the base of the building, then the angle of elevation of the ladder will be: α = 71° .

From trigonometry we have:

cos α = 7/21

7 = 21 cos(α)

and:

α = arc cos(7/21) = 70.5 ≈ 71∘

The angle of elevation is the angle between the horizontal line of sight and the article.

Considering that, A 21-ft stepping stool is resting up against a structure. Assuming the foundation of the stepping stool is 9 ft from the foundation of the structure,

Subsequently, Angle of Elevation is x = 71° and the Level of stepping stool arriving at the wall = 21 ft .

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The error kelly made was that sin f is h/e and g = EF

The area of a triangle is given by 1/2 base × height. In the triangle base is g and height is h

In trigonometry, sin(tetha) =[opp/ hypotenuse)

cos (tetha) = adj/hypotenuse

tan(tetha) = opp/ hypotenuse

sinF = e/h

sinE = h/f

this two does not have g at all. so we either use tan or cos.

g is divided into two, let's name it g1 and g2

cos F = g1/e

cos E = g2/f

g1 = e(cos F)

g2 = f(cos E)

g = g1+g2

g = e(cos F) + f(cos E)

A = 1/2bh

A = 1/2 ×( e( cos F) + f(cos E) ) h

Therefore the actual value of the area is /2 ×( e( cos F) + f(cos E) ) h

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The measure of side FD is given as follows:

FD = 81.5.

Similar triangles are triangles that share these two features presented as follows:

Hence the proportional relationship measuring the side lengths is given as follows:

FD/23 = 39/11.

Applying cross multiplication, the measure of side FD is obtained as follows:

11FD = 39 x 23

FD = 39 x 23/11

FD = 81.5. (rounded to the nearest tenth).

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Answer: 18 years.

Step-by-step explanation:

Turn into an equation:

y=250(1.08)^x

see what number you plug in for x makes y 1000,

and that number is 18.

Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well. Option C

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given :Both equations in a system of linear equations have y-intercepts at (0,2).

The following steps can be used in order to determine the system have only one solution or not:

According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).

The equation of a line is given by: [tex]\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]

From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.

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Answer:

Step-by-step explanation: I do know bro is, sorry

Answer:

HCF = 6.

Step-by-step explanation:

The Highest Common factor is 6.

Other common factors are 1, 2 and 3.

The missing sides are of the given triangle are of 26.69 units and 11.33 units.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Given that:

One angle of a right angled triangle measures 67 degrees.

Hypotenuse of that right angled triangle measures 29 units.

To find:

Missing sides of the triangle.

Calculations:

The sine trigonometric ratio gives us ratio of perpendicular to hypotenuse from perspective of the considered angle.

Referring to the figure attached below,

sin∠ACB = AB/AC

sin 67° = AB/29

0.9025 = AB/29

i.e. AB = 26.69

Similarly,

cos∠ACB = AB/AC

cos 67° = AB/29

0.3907= AB/29

i.e. AB = 11.33

Thus, the missing sides are of the given triangle are of 26.69 units and 11.33 units.

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Answer:

tyizigxigxhk hkohxoxoxhhxohxkhk oh h kun h kun up up h kun go to

Step-by-step explanation:

Answer:

D. p - 0.20p

Step-by-step explanation:

According to the Rank-Size Rule, the population of the 5th largest city in this region is estimated to be 1.1 million people.

The Rank-Size Rule states that the population of a city (n) in a region is proportional to the population of the largest city (P1) in that region, with a power of -1.

So, the population of the nth city in a region can be calculated using the formula:

Pn = P1 / n^1

So, for the 5th largest city in a region where the largest city has 5.5 million people, the population can be calculated as follows:

P5 = 5.5 million / 5^1 = 1.1 million

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The probability that a randomly selected student is taking a math class or an English class is 0.79.

Using the formula for the union of two events, P(A or B) = P(A) + P(B) - P(A and B), where A is the event "taking a math class" and B is the event "taking an English class", we can find the desired probability:

P(A or B) = 0.76 + 0.75 - 0.72 = 0.79

So,  "0.79" (which is given in upto two decimal places) is the probability that a randomly selected student is taking a math class or an English class.

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Answer:

22500

Step-by-step explanation:

This is because 75 x 60 = 4500 (that gives us the beats per hour)

4500 x 5 = 22500 (that gives us the beats per 5 hour)

Answer:

5×60=300mins

1min=75heartbeat

300min=300×75=22500heartbeat

Answer:

3.88

Step-by-step explanation:

0.97×4 = 3.88 just multiply

Answer: 3.88

So the grapes on the sale is 0.97 per pound and he wants to purchase 4 pounds. In this situation were going to multiply in order to find how many pounds of grape he spent.

0.97*4=3.88. So he spends 3.88 pounds of grapes.

Step-by-step explanation:  hope this helps!! :)) Mark me brainliest! :))

Answer: To express the expression 8x - x² in the form a - (x + b)², we can complete the square method.

First, we'll add (1/2)^2 = 1/4 to both sides of the expression:

8x - x² + 1/4 = 1/4

Next, we'll rearrange the left-hand side to the desired form:

(2x - 1/2)² - 1/4 = 1/4

Now, we can identify a = -1/4, b = 1/2, so the expression is:

a - (x + b)² = -1/4 - (x + 1/2)²

Step-by-step explanation:

The required statement "outlier in a data set can significantly affect the value of the mean but not the median" is true.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

The average of a group of variables is referred to as the mean in mathematics and statistics.

There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Thus, given statement is true.

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Answer: [tex]5*7[/tex]

Work: 25 = 5 × 5 35 = 5 × 7

Hope it helps!

The correct answer is results of the memory test.

Given that,

Dr. Huang asked the healthy volunteers in a group to read a chapter for an hour. The other half of the attendees spent 15 minutes studying. Dr. Huang next asked participants to recall specifics from the paragraph in a test.

To find :what was the dependent variable ?

It is something on which other elements depend. The test score for a instance, may be the dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.

Therefore, the correct answer is results of the memory test.

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The coordinate point of C is (4.5, 6).

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula. Let us say, we have a point P(x,y) that divides the line segment with marked points as A (x1,y1) and B(x2,y2). To find the coordinates, we use the section formula, which is mathematically expressed as:

P(x, y) = P(x, y) = [(mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)]

Given that, Philip travels from town A, with coordinates (1, 6) to town B, with coordinates (7, 6).

The ratio of Philip's Bruces rates is 7:5.

Substitute (x₁, y₁)= (1, 6), (x₂, y₂)= (7, 6) and m:n=7:5 in the section formula, we get

C(x, y) = [(7×7+5×1)/(7+5), (7×6+5×6)/(7+5)]

C(x, y) = (54/12, 72/12)

C(x, y) = (4.5, 6)

Therefore, the point is (4.5, 6).

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Answer:

Step-by-step explanation:

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".

Answer:

30

Step-by-step explanation:

triangle interior angles sum = 180

so x+2x-15+105 = 180

so 3x = 180-90 = 90

x =30

Please find attached the graph of the linear equation that represents the situation, created with MS Excel

The domain is; {0, ∞)

The domain is the set of the possible distances, in miles, to which Pick-M-Up Towing Company tows a car

The range is; [40, ∞)

The range is the set of the possible total cost, in dollars, it takes to tow a car

A linear equation is an equation that has a straight line graph.

The possible values in the table, obtained from the table in a similar question posted online are presented as follows;

x(miles)    [tex]{}[/tex]      y(cost)

0    [tex]{}[/tex]                 $40

5    [tex]{}[/tex]                 $48.50

10     [tex]{}[/tex]               $57.00

The first difference is; 57 - 48.5 = 48.5 - 40 = 8.5

Therefore, the first difference is a constant, the relationship is a linear equation, with a slope, m, which can be found as follows;

m = 8.5/(5 - 0) = 1.7

The equation in point-slope form is therefore;

y - 40 = 1.7·(x - 0)

The above equation is in the form of a slope-intercept form of a linear equation, y = m·x + c, where the slope, m = 1.7, and the y-intercept, c = 40

The y-intercept is 40. The meaning of the y-intercept is the amount the towing company charges to hook the car.

The domain is the set of possible x-values, which is the possible distances to which the car is towed.

The range, which is the possible output or y-value, is the set of the possible cost to tow the car, which can be presented as follows;

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The lowest common denominator Skyla could use to rewrite the fractions is 280.

Value is the relative what merit or important of something it can referred to an intangible concept such as a person principle or a tangible object such as rare coin. Will you very widely across culture society individual it can even very within the same individual overtime. Value is often used to describe the worth of something in terms of its usefulness beauty. Will you can also refer to the moral or ethical standard of a person or group.

To get this value, she would need to find the least common multiple of the denominators, which are 17, 20, 56, 8, and 15. To do this, she would list out the prime factors of each denominator and then multiply the highest number of each prime factor together.

17: 1 x 17
20: 2 x 10
56: 2 x 2 x 7
8: 2 x 2 x 2
15: 3 x 5

The highest number of each prime factor is 17, 10, 7, 2, and 5, so the least common multiple of the denominators is 17 x 10 x 7 x 2 x 5, which equals 280. This would be the lowest common denominator she could use to rewrite the fractions.

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The correct association for each correlation coefficient is as follows:

-0.86: Strong association, 0.52: Moderate association, 0.93: Strong association, -0.66: Moderate association, -0.01: Weak association.

Correlation is a statistical concept that measures the relationship between two or more variables. It is a measure of the degree of association between variables, which can range from -1 to 1. If the correlation between two variables is strong and positive, this means that as one variable increases, the other variable also increases. Conversely, if the correlation is strong and negative, then as one variable increases, the other variable decreases. A correlation of 0 means that there is no association between the variables.

In order to calculate the correlation coefficient, statistical methods such as Pearson's correlation or Spearman's rank correlation are used. The correlation coefficient is a single number that indicates the strength and direction of the relationship between the variables. It is important to note that correlation does not imply causation, and it is possible for two variables to be highly correlated without any causal relationship between them.

The correlation coefficient represents the strength of the relationship between two variables. A positive correlation coefficient implies that the two variables have a positive link, whereas a negative correlation value shows that the two variables have a negative association. The size of the correlation coefficient shows its strength: a coefficient of 0.86 suggests a high relationship between the two variables, whilst a coefficient of 0.52 indicates a moderate relationship. A coefficient of 0.93 suggests a stronger relationship, whilst a value of -0.66 shows a somewhat negative relationship between the two variables. Finally, a correlation value of -0.01 shows that the two variables have a very weak relationship.

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The simplified solution is -6+4y-10m.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

-2/4 (12 - 8y + 20m)

now, dividing & multiplying we get,

⇒ -2(3-2y+5m)

⇒-6+4y-10m

Hence, The simplified solution is -6+4y-10m.

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Answer:

did this for points

oci hcduibghvfv

Step-by-step explanation:

:)

The lateral surface area of the rectangular prism is 36 squared centimeters.

Lateral surface of any given shape is all its surface excluding its base and top. Such that the lateral surface area of a given shape is the area of all its surface apart from that of its base and top.

In the given rectangular prism, its lateral surface area can be determined as:

i. area of a rectangle 1 = length x width

                                = 6 * 2

                                = 12

area of its rectangular sides = 2 * 12

                                      = 24 squared centimeters

ii. area of a rectangular surface 2 = 3 * 2

                                                 = 6

area of its rectangular sides 2 = 2 * 6

                                     = 12 squared centimeters

Therefore,

its lateral surface area = 24 + 12

                                     = 36 squared centimeters

The lateral surface area of the prism is 36 squared centimeters.

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The answer is 1.95 or 1.95 = 1.95. The probability that a randomly selected student is taking a math class or an English class can be found using the formula for the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

where A is the event of taking a math class and B is the event of taking an English class.

Given that 66% of students are taking a math class, P(A) = 0.66. Given that 74% of students are taking an English class, P(B) = 0.74. Given that 45% of students are taking both, P(A and B) = 0.45.

Therefore, the probability that a randomly selected student is taking a math class or an English class can be calculated as follows:

P(A or B) = 0.66 + 0.74 - 0.45 = 1.95

Rounding to 2 decimal places, the answer is 1.95 or 1.95 = 1.95.

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