Suppose I bet $5 on even numbers in roulette. I want to create a box model for counting the number of times I win if I make this same bet 50 times. Which box should I use

Difference in the medians as a multiple of the IQR = 5.

The Interquartile Range (IQR) formula computes the median of a set of data. One of the smallest statistical measurements of dispersion is the interquartile range. The interquartile range refers to the spread between the upper and lower quartiles.

The interquartile range is defined as Upper Quartile - Lower Quartile.

According to the question,

Data set of Mount Vernon= 55, 60, 65, 70, 75, 80, 85, 90

Data set of Lakewood= 65, 70, 75, 80, 85

Data sets are already in ascending order.

Median for Mount Vernon = 70+75/2 = 77.5

Median for lower half of set= 55+60+65+70/4 = 62.5

Median for upper half of set= 75+80+85+90/4 = 82.5

IRQ for Mount Vernon = 82.5-62.5 = 20

Now similarly in case of Lakewood,

Median= 75.

Median for lower half of set = 65+70/2 = 67.5

Median for upper half of set = 80+85/2 = 82.5

IRQ = 82.5 - 67.5 = 15.

Hence, difference in IRQ = 20-15 = 5.

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Answer:

5

Explanation:

When we divide A by B, we are calculating how many Bs fit into A. So, if we want to know how many 2/5s fit into 2 yds, we need to divide 2 by 2/5. So:

So, 2 yds of rope can be divide into 5 ropes of 2/5 yd.

the distance on the

coordinate plane between the

points (-2, 16) and (-2,-5) is 21

Answer:

4. 80°

5. 11

6. 9

Step-by-step explanation:

4. 80 is the lowest number on the chart

5. add temperatures between 86 and 89

6. add temperatures between 86 and 90

The value of x is -3 and the property used in this is (-) / (-) = (+)

According to the question the expression that we have given is

                      6 - 4x = 18

We will solve this equation step by step that is

First we will subtract 6 both sides of the equation,

                 6 - 6 - 4x = 18 - 6

                       -4x = 12

Now we will divide -4 on both side of the equation we get

                        -4x/-4 = 12/-4        [As (-) / (-) = (+) ]

                          x = -3

Hence the value of x is -3 and the property that we have used is that

 (-) / (-) = (+)

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Answer:

78.5 square meters

Explanation:

• Given:, A circle with a radius of 5 meters.

• To find:, Area of the circle

The area of a circle is calculated using the formula:

Substitute 5 for r and 3.14 for π:

The area of the circle is approximately 78.5 square meters.

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:

2+6≤120

2x+6y≤120

Step-by-step explanation:

When examining the problem and purpose portions of a research study, the important question to ask is (option d) Is the objective of the study clearly stated?

Given,

What should I look for while  reviewing the problem and purpose sections of a research article?

To do this, we suggest reading the content numerous times before criticizing it, making notes, and adding annotations. Be sure to take notes while you read on crucial elements such as the thesis, purpose, research questions, hypotheses, methods, evidence, significant findings, tone, and publishing information.

Here,

The pertinent question when reviewing the problem and purpose sections of a research article is (option d) Is the objective of the study clearly stated?

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Answer:

x = -2

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS  is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

~

First, add 4x to both sides:

10 - 4x (+4x) = -9x (+4x)

10 = -9x + 4x

10 = -5x

Isolate the variable, x. Divide -5 from both sides:

-5x = 10

(-5x)/-5 = (10)/-5

x = 10/-5

x = -2

x = -2 is your answer.

~

The approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

The given parameters are:

Mean, μ = 89.46

Standard deviation, σ = 2.31

The z-score at x = 90 is calculated using

\(z = \frac{x - \mu}{\sigma}\)

This gives

\(z = \frac{90 - 89.46}{2.31}\\\)

Evaluate

z = 0.234

The probability is then calculated as:

P(x >90) = P(z > 0.234)

From z table of probabilities, we have:

P(x >90) = 0.41

Hence, the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

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Answer:

x^2-1

Step-by-step explanation:

I hope this helps.

The interquartile range (IQR) is found as the 20.24. The correct option is (d) 20.24.

Given that X N(300, 15), find the Interquartile Range (IQR).

The given distribution is normal with mean μ = 300 and standard deviation σ = 15.

We need to calculate the interquartile range (IQR).IQR is defined as the difference between the third quartile (Q3) and the first quartile (Q1).

The first quartile (Q1) is the value below which 25% of the data fall and the third quartile (Q3) is the value below which 75% of the data fall.

We can find these values using the standard normal distribution table.

For the first quartile,

z1 = invNorm(0.25)

= -0.67449

Q1 = μ + σ × z1

= 300 + 15 × (-0.67449)

= 289.88

≈ 289.89

For the third quartile,

z3 = invNorm(0.75)

= 0.67449

Q3 = μ + σ × z3

= 300 + 15 × 0.67449

= 310.12

Therefore, the interquartile range (IQR)

= Q3 – Q1

= 310.12 – 289.89

= 20.23

≈ 20.24

Hence, the correct option is (d) 20.24.

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Answer: The answer is 10

Step-by-step explanation:

The centroid of any triangle has the following property:
The distance between the centroid and one of the extremities is two times longer than the distance between the opposite side.  
In this case AG = 20 should be twice the distance then GK.
If 20 is twice the distance then that distance that we are  searching for is:
20/2 = 10

Answer:

B. The graph has a vertical asymptote at

x = -2.

The statement about the graph of the given rational function that is true is: B. The graph has a vertical asymptote at x = -2.

To understand the graph of the rational function f(x) = (3x - 7) / (x + 2), we need to consider its behavior at various points. First, let's investigate the possibility of asymptotes. Asymptotes are lines that the graph approaches but never touches. There are two types of asymptotes: vertical and horizontal.

A vertical asymptote occurs when the denominator of the rational function becomes zero. In this case, the denominator is (x + 2), so we need to find the value of x that makes it zero. Setting x + 2 = 0 and solving for x, we get x = -2. Therefore, the rational function has a vertical asymptote at x = -2 (option B).

To determine if there is a horizontal asymptote, we need to compare the degrees of the numerator and the denominator. The degree of a term is the highest power of x in that term. In the given rational function, the degree of the numerator is 1 (3x) and the degree of the denominator is also 1 (x). When the degrees are the same, we look at the ratio of the leading coefficients, which are 3 (numerator) and 1 (denominator). The ratio of the leading coefficients is 3/1 = 3.

If the ratio of the leading coefficients is a finite value (not zero or infinity), then the rational function will have a horizontal asymptote. In this case, the horizontal asymptote is y = 3 (option C).

Hence the correct option is (b).

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Answer:

x = 7; y = 11

Step-by-step explanation:

AB = x

AB = CD

CD = 7 so....

x = 7

AD = y + x

AD = BC

BC = 18 so...

y + x = 18    

y + 7 = 18                        subtract 7 from 18

y = 11

Answer:

x = 7

y = 11

Step-by-step explanation:

Do you see those little arrow marks? Those indicate that if a side has those marks, they have the same length. If a side with one arrow is 7 units long, then it means that x = 7, because the side with x also has one arrow. Then, just plug in 7 into the y+x equation, and set it equal to the other side. (18).

y + 7 = 18; subtract 7 from both sides, to get x = 7; y = 11.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Answer:

26.019

Step-by-step explanation:

Answer:

26.01

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

This means there are (15-7) 8 sad clowns.

This means out of 8 sad clowns, 5 have red noses. So the clowns that have to act sad and have red noses are (8-5) 3.

Answer:

42 miles per gallon

Step-by-step explanation:

First, Convert it into a decimal to make it easier, 26.25 miles on .625 gallon. Now we Divide the two numbers 26.25 ÷ .625 = 42.

Hope this helps :D

The expression that has a positive product is O-4 (-2) with a result of 8. In conclusion, it is important to determine whether an expression has a positive or negative product to understand the behavior of the product when multiplied by other terms in an equation.

An expression has a positive product when the result of multiplying all the terms in the expression is positive. Looking at the given expressions, we can determine the expression with a positive product by multiplying all the terms.
O-4 (-2) = 8 (positive product)
0-(-3) = 3 (positive product)
O-2-(-5).(-4) (-1) = -2 + 20 (-1) = -22 (negative product)
O 6 (-2)-8-(-3) = -12 - 8 + 3 = -17 (negative product)
O 5 (6) (-3) - (3) = -90 - 3 = -93 (negative product)
Therefore, the expression that has a positive product is O-4 (-2) with a result of 8. In conclusion, it is important to determine whether an expression has a positive or negative product to understand the behavior of the product when multiplied by other terms in an equation.

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The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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Answer:

Should be 28

Step-by-step explanation:

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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Step-by-step explanation:

the answer is 14

3/7 • 2 1/14

=14

The value of x is 20 degrees where angles B and C are complementary.

An angle is a measurement of the degree of rotation between two lines or line segments that have a vertex in common. Angles are frequently expressed in terms of degrees or radians.

Complementary angles are two angles whose measures add up to 90 degrees. So we know that:

Angle B + Angle C = 90 degrees

And we also know that:

Angle C = 24 degrees

Substituting this value into the first equation, we get:

Angle B + 24 degrees = 90 degrees

Subtracting 24 degrees from both sides, we get:

Angle B = 66 degrees

Now we can use the fact that Angle B and Angle C are complementary to set up another equation:

Angle B + Angle C = 90 degrees

Substituting in the values we know, we get:

66 degrees + 24 degrees = 90 degrees

Simplifying, we get:

90 degrees = 90 degrees

This equation is true, which confirms that our values for Angle B and Angle C are correct.

Now we can use the fact that Angle A has a measure of (3x + 30) degrees and that the sum of the three angles in a triangle is 180 degrees to set up another equation:

Angle A + Angle B + Angle C = 180 degrees

Substituting in the values we know, we get:

(3x + 30) degrees + 66 degrees + 24 degrees = 180 degrees

Simplifying, we get:

3x + 120 degrees = 180 degrees

Subtracting 120 degrees from both sides, we get:

3x = 60 degrees

Dividing both sides by 3, we get:

x = 20 degrees

So the value of x is 20 degrees.

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the length of the parametrized curve is 5.73 (approx) units.

The parametrized curve, x(t) = 6t² - 12t and y(t) = -4t³ + 12t² - 9t where t goes from 0 to 1.Let's find the length of the parametrized curve given by the above formula: The formula for finding the length of the parametrized curve is, L = ∫√[x'(t)² + y'(t)²]dt Where x'(t) and y'(t) represent the first derivative of x(t) and y(t), respectively.

Therefore, x'(t) = 12t - 12, and y'(t) = -12t² + 24t - 9Now, substitute the values into the above equation,

∴L = ∫₀¹√[x'(t)² + y'(t)²]dt

= ∫₀¹√[(12t - 12)² + (-12t² + 24t - 9)²]dt

= ∫₀¹√[144t² - 288t² + 144t + 144 + 144t² - 576t² + 648t + 81]dt

= ∫₀¹√[-720t² + 792t + 225]dt

= ∫₀¹√[720t² - 792t - 225]dt [We have taken - (720t² - 792t - 225) inside the root because it is negative and we cannot find the square root of a negative number.]Let us assume f(t) = 720t² - 792t - 225Now, we need to find the derivative of f(t) to solve the integral.

∴f'(t) = 1440t - 792

∴L = ∫₀¹√[720t² - 792t - 225]dt

= 1/1440 [2/3 (720t² - 792t - 225)^(3/2)]₀¹

= 1/1440 [(2/3) (720 - 792 - 225)^(3/2) - (2/3) (225)^(3/2) 

= 5.73 (approx)

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When A'B'C' is reflecting in origin, A" (4, 1), B" (0, -7), and C" are the coordinates of the vertices' pictures (-2, -5).

The vertices of ABC are A (4, -1), B (0, 7), and C (-2, 5), respectively.

The coordinates of the points for ABC will be A' (-4, -1), B' (0, 7), and C' after reflecting in the y-axis (2, 5).

Once more, when "A'B'C" is reflecting in origin, "A" will be at (4, 1), "B" will be at (0, -7), and "C" will be at (4, 1). (-2, -5).

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

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

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