When the data is asymmetrical, you use _ (IQR/SD) to measure the spread.

Answer:

So the answer is C. (x - 3)^2.

Step-by-step explanation:

The complete square corresponding to x^2 - 6x is (x - 3)^2.

A complete square is a trinomial that can be written in the form (x - a)^2, where a is a constant. To find the complete square of x^2 - 6x, we need to rewrite x^2 - 6x into the form (x - a)^2. We do this by adding and subtracting a constant term to make the trinomial a perfect square.

x^2 - 6x + 9 = (x - 3)^2

So the answer is C. (x - 3)^2.

[tex]above \: the \: line[/tex]

All the values of y are calculated, the function table is complete. In this case, the final table looks like this

| x   | -2x | -2x-3 | y  |

| -2  | 4   | 1     | -3 |

| -1  | 2   | -1    | -5 |

| 0   | 0   | -3    | -3 |

| 1   | -2  | -5    | -7 |

| 2   | -4  | -7    | -9 |

The function y=-2x-3 is a linear equation. This means that the graph of the equation is a line with a constant slope. The slope of this line is -2 and the y-intercept is -3. The table above shows the output of the function for different values of x. To calculate the value of y for a given x, the first step is to calculate -2x. Then subtract 3 from the result to get the value of y. For example, for x=-2, -2*(-2)=-4 and -4-3=-3, so y=-3. For x=1, -2*(1)=-2 and -2-3=-5, so y=-5. In this way, the output of the function can be calculated for any given value of x.

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The slope and y-intercept of the equation y= -4/3 x-2 are -4/3 and -2 respectively.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

In the given graph two lines are plotted.

Part A: From the graph, the two equations are intersected at (-1.5, 0) and the solution is (-1.5, 0).

Part B: Slope and y-intercept

Equations of lines from the graph are y=3/4 x+1 and y= -4/3 x-2.

For the equation y=3/4 x+1,

Compare, y=3/4 x+1 with y=mx+c, we get

Slope (m)= 3/4 and the y-intercept (c)=1

For the equation y= -4/3 x-2,

Compare, y= -4/3 x-2 with y=mx+c, we get

Slope (m)= -4/3 and the y-intercept (c)=-2

Therefore, the slope and y-intercept of the equation y= -4/3 x-2 are -4/3 and -2 respectively.

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The total area of the quilt is: 166.5 square inches

The six-sided figure is given, and we can deduce the following parameters from the question:

The shape is made of a triangle and a rectangle

The side lengths derived from the question are:

The triangle on top:

base: 6 inches and height: 7.5 inches

The rectangle at the bottom:

Base: 16 inches with a height of 9 inches

So, we have the total area of the figure to be

Area of figure = (1/2 * 7.5 * 6) + (16 * 9)

Area of figure = 22.5 + 144

Area of figure = 166.5 in²

Based on the parameters, the total area is 166.5 square inches

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Answer:

1/237.12.

Step-by-step explanation:

The probability of winning the minimum award can be calculated by multiplying the probability of picking 4 numbers correctly from 1 to 51 and then multiplying by the probability of picking 1 number correctly from 1 to 42.

The probability of picking 4 numbers correctly from 1 to 51 is given by the formula:

(number of combinations of 4 numbers from 51) / (number of combinations of 5 numbers from 51)

= (51 choose 4) / (51 choose 5)

= 51! / (4! * 47!) / (51! / (5! * 46!))

= (51 * 50 * 49 * 48) / (5 * 4 * 47 * 46)

= 19600 / 10,946

= 1/5.6 approximately

The probability of picking 1 number correctly from 1 to 42 is given by the formula:

1/42

The final probability of winning the minimum award is given by multiplying the above two probabilities:

1/5.6 * 1/42 = 1/237.12

So, the probability of winning the minimum award is approximately 1/237.12.

The first term of an arithmetic progression is 5 and the 10th term is 95. The sum of the first 10 terms is 455.

The sum of the first 10 terms of an arithmetic progression (A.P.) can be found using the formula:

S_n = n/2 * (2a + (n-1)d)

where a is the first term, d is the common difference, and n is the number of terms.

Given that the first term is 5 and the 10th term is 95, we can find the common difference (d) using the formula:

a_n = a + (n-1)d

Plugging in n = 10 and a = 5, we get:

95 = 5 + (10 - 1)d

Solving for d, we get:

d = (95 - 5) / (10 - 1) = 9

Now that we know the common difference, we can find the sum of the first 10 terms:

S_10 = 10/2 * (2 * 5 + (10 - 1) * 9) = 10/2 * (10 + 81) = 10/2 * 91 = 455

So, the sum of the first 10 terms is 455.

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Answer:

(assuming the 2 was an exponent, if I am wrong don't use this answer) 6a^2 + 12b

Step-by-step explanation:

Add like terms

6a^2 + 12b

Answer:

We can start by finding the total number of learners who participate in jogging and cycling by multiplying the ratio by the total number of learners. Let's say x is the number of learners who jog. Then, the number of learners who cycle is 2x.

The total number of learners who jog and cycle is 125, so:

x + 2x = 125

3x = 125

x = 125 / 3

x = 41.67

Since x represents the number of learners who jog, there are 41.67 learners who jog. Since the number of learners who cycle is 2x, there are 2 * 41.67 = 83.33 learners who cycle.

Since these are whole numbers of learners, we round up to the nearest whole number to get 42 joggers and 83 cyclists.

The number of students participating in each of the sports will be 75 for jogging and 50 for cycling.

Solution:

Let's assume that the number of students who participated in jogging will be 3x and those in cycling will be 2x

Given,

3x + 2x = 125

5x = 125

So, x = 25

Therefore, the number of students in jogging will be 3*25 = 75 and in cycling will be 2*25 = 50

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The expression for the given model will be 3÷2/5.

What exactly are expressions?

Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are examples of mathematical operators. For example, x + y is an expression in which x and y are terms separated by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, which is x. In a mathematical expression, this proposition is expressed as x/2 + 6. Complex riddles are solved using mathematical expressions.

Now,

as shown in figure the model is shaded uptil 3

and in 1 unit there are 5 total boxes which are divided in 2 parts

Therefore, it will be represented by 3÷2/5.

Hence,

         The expression for the given model will be 3÷2/5.

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Answer: The theme park made a 46.8% profit on Thursday.

Step-by-step explanation:

Step 1: First, we need to calculate the total revenue from ticket sales:

627 tickets x £54.99 = £34,341.73

Step 2: Subtract the costs from the total revenue:

£34,341.73 - £18,273 = £16,068.73

Step 3: Calculate the percentage profit:

£16,068.73 / £34,341.73 x 100 = 46.8%

The theme park made a 46.8% profit on Thursday.

The polynomial expression cannot be divided

From the question, we have the following parameters that can be used in our computation:

(x + 1) /x³ − 3x² + 6x +11.

The degree of the numerator is 1

While the degree of the denominator is 3

For a polynomial quotient to be evaluated, the degree of the numerator must be greater than the degree of the denominator

Because 1 is less than 3, then the polynomial expression cannot be divided

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If the length of the rectangular plot  is 180m , then the width of the rectangular plot is 51.2 m .

The Area of square plot is ⇒ Area = (Side) × (Side),

In this case, Side is = 96m,

So , the area of the square plot is : A = 96m x 96m = 9216 m² .

The Area of  Rectangular Plot is ⇒ A = (Length) × (Width) ;

We know that the area of the rectangular plot is the same as that of the square plot,

that means ⇒ Length × Width = 9216 m² ;

We also know that Length = 180m, so we substitute this value in the equation above ;

⇒ 180m × Width = 9216 m² ;

Dividing  both sides by 180m ;

we get ;

⇒ Width = 9216/180 ;

⇒ Width = 51.2 m ;

Therefore, the width of the rectangular plot is 51.2 meters.

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The given question is incomplete , the complete question is

In exchange of a square plot of side 96 m, a man wants to acquire a rectangular plot of 180m long and of the same area of the square plot .

Find the width of the rectangular plot .

Davis can plant a total of about 1555 corn seeds in the section one.

Davis wants to plant in a row that are 3 ft apart each row, plant are about 4 to 6 inches apart from each other.

We have to find out that how many plant can be planted. Section 1 has 12 columns 18 rows.

Each block formed by a row and column will have an area of 9 square feet. Each row will have a total of 86.4 seeds of corn seeds in it.

The total number of columns in the section 1 are 54. So, multiplying the number by 54 will get the total number of counts,

Total corn seeds = 86.4 x 54.3

= 1555 corns seeds.

So, a total of 1555 corn seeds can be planted.

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Answer:

10/x is a nonlinear equation. Linear equations represent a straight line in a graph, whereas nonlinear equations are used to represent curves. In this case, the degree of variable y is 1 and the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Answer:

I didn't understand the question 100% but I think the question is asking you to give an equation from the given one

so the answer will be

-s divided over tq

The profanity filter refused my answer.

Please find it in the txt file.

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The point (7,84) represents a precise location on a graph or coordinate plane.

A coordinate is a set of values that specifies the position or location of a point in a geometric space.

The point (7,84) represents a specific location on a graph or coordinate plane. The first number, 7, represents the point's position on the x-axis, which is a horizontal line that runs left to right. The second number, 84, represents the point's position on the y-axis, which is a vertical line that runs up and down. Together, the two numbers give us a precise location for the point.

In this situation, we don't have enough context to know what the point (7,84) represents. It could be the location of a city on a map, the amount of rainfall in inches on a specific day, or the price of a stock at a particular time. However, regardless of the situation, the point (7,84) is simply a specific location in a two-dimensional space that has been identified using coordinates.

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Complete Question:

What does the point (7,84) represent in the graph?​ And define the explanation for each value.

Let's call the radius of the circle "r". The formula for the area of a sector of a circle is given by:

(θ/360) * π * r^2,

where θ is the central angle of the sector in degrees.

In this case, we know that the central angle is 315° and the area of the sector is 504π, so we can set up an equation as follows:

(315/360) * π * r^2 = 504π

Solving for r, we can isolate it on one side of the equation:

r^2 = 504 / (π * (315/360))

To simplify the expression on the right-hand side, we can divide both the numerator and denominator by 45 (which is a factor of both 315 and 360):

r^2 = 504 / (π * (7/8))

Finally, taking the square root of both sides gives us:

r = sqrt(504 / (π * (7/8)))

So the radius of the circle is approximately 17.14 inches.

Exercise 1: Yes, 1.908 x 10^17 is written in scientific notation.

Exercise 2: Yes, 0.325 x 10^-2 is written in scientific notation.

Exercise 3: No, 7.99 x 10^32 is not written in scientific notation. The decimal d must be between 1 and 10, not between 10 and 100.

Exercise 4: No, 4.0701 + 10 is not written in scientific notation. The correct format is d x 10^n.

Exercise 5: No, 18.432 x 5 is not written in scientific notation. The correct format is d x 10^n.

Exercise 6: No, 8x 10^-11 is not written in scientific notation. The correct format is d x 10^n.

The boat will coast approximately 16752.9 feet (or about 3.17 miles) in the first 2 minutes after its motor quits.

From the problem statement, we know that the velocity of the boat, v, changes from 83 ft/s to 23 ft/s over a period of 1 second. Therefore, we can write:

[tex]dv/dt = -k v^2[/tex]

Separating variables and integrating from v = 83 at t = 0 to v = 23 at t = 1, we get:

[tex]∫83^23 dv / v^2 = ∫0^1 -k dt[/tex]

=> [1/83 - 1/23] = k

So the equation for the velocity of the boat as it coasts is:

[tex]dv/dt = -[(1/83 - 1/23)] v^2[/tex]

The differential equation is separable:

[tex]dv/v^2 = -[(1/83 - 1/23)] dt[/tex]

Integrating both sides, we get:

-1/v = [(1/83 - 1/23)] t + C

where C is an integration constant. Using the initial condition v(0) = 83, we get:

C = -1/83

Substituting this back, we have:

-1/v = [(1/83 - 1/23)] t - 1/83

Solving for v, we have:

v(t) = 83 / [1 + (83/23 - 1) t]

To find the distance traveled, we integrate v(t) from t = 0 to t = 120:

s =[tex]∫0^120 v(t) dt[/tex]

Substituting v(t) and simplifying, we have:

s = 23 ln(1 + 3.6087t) + 60.391t + C

where C is another integration constant. Using the initial condition s(0) = 0, we get:

C = 0

Therefore, the distance traveled by the boat in the first 2 minutes after its motor quits is:

s = 23 ln(1 + 3.6087t) + 60.391t

Evaluating this expression at t = 120 seconds, we get:

s = 23 ln(433.044) + 7246.92 ≈ 16752.9 ft

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Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.

A solution to an equation is a number that can be substituted for the variable to provide a true number statement.

Let's call the number of hours Camden works babysitting "x".

We know that x + 9 (hours of lifeguarding) cannot be more than 14 and that his total earnings must be at least $180. So we can write two equations based on these conditions:

x + 9 ≤ 14 (hours worked can't exceed 14)

10x + 18 × 9 ≥ 180 (earnings must be at least $180)

Now we can substitute the first equation into the second:

10x + 18 × 9 ≥ 180

10x + 162 ≥ 180

10x ≥ 18

x ≥ 1.8

Since x has to be a whole number of hours, we round up to find that Camden must work at least 2 hours babysitting.

So, Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.

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Answer:15/25

Step-by-step explanation:

Answer:

uhhhh

Step-by-step explanation:

The probability that the last red ball was the 8th ball out is 3/10

Number of red  balls = 3 red balls

Number of black balls = 7 black balls

Then you randomly draw the balls out one by one without replacement.

The probability is the ratio of the number of favorable outcomes to the total number of outcomes

The equation will be

Probability = Number of favorable outcomes / Total number of outcomes

Total number of outcomes = 3 + 7

= 10

Substitute the values in the equation

The probability that the last red ball was the 8th ball out = 3/10

Therefore, the probability is 3/10

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In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the errors come from a normal distribution.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution centred on the mean, implying that data closer to the mean occur more frequently than data further away from the mean.

The normal quantile plot of the residuals in a simple linear regression model is used to establish if it is reasonable to think the errors are normal.

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On solving the provided question we can say that The result of multiply the total number of kids by the proportion of those who enjoy chocolate is 12

Along with addition, subtractiοn, and division, multiplication is one of the four arithmetic operations. Multiplicatiοn in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals prοduct.

Specifically, multiplicand: First number (factοr). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is knοwn as the product. Multiple additiοns are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20, I multiplied 5 by 4 times. Multiplication is frequently referred tο as "doubling" because οf this.

The result of multiply the tοtal number of kids by the proportion of those who enjoy chocolate is

32 × 3/8 = 12

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Suppose x is the number of times a woman is selected when 3 people are randomly chosen from a group of 2 women and 2 men, the possible values of x are 0, 1, 2, and 3.

When 3 people are randomly chosen without replacement from a group of 2 women and 2 men, there are a total of 4C₃ = 4 possible outcomes, which we can list as follows:

WWx (two women and one of either gender)

WMx (one woman, one man, and one of either gender)

MWx (one man, one woman, and one of either gender)

MMx (two men and one of either gender)

In each of these outcomes, x represents the number of times a woman is selected. We can see that the possible values of x are 0, 1, 2, and 3, depending on which outcome occurs.

In outcome 1 (WWx), a woman is selected twice, so x = 2.

In outcomes 2 (WMx) and 3 (MWx), a woman is selected once, so x = 1.

In outcome 4 (MMx), no women are selected, so x = 0.

Therefore, the possible values of x are 0, 1, 2, and 3.

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Answer:

ED = 4 cm

Step-by-step explanation:

given 2 secants from an external point to the circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and that entire secant, that is

CD × CE = CB × CA

8(8 + x) = 6(6 + 10) = 6 × 16 = 96 ( divide both sides by 8 )

8 + x = 12 ( subtract 8 from both sides )

x = ED = 4 cm