In a statistical inference method you'll draw a conclusion in the end - you’ll _______ something - about the characteristics of what you're comparing.

Answer:

\(\frac{1}{axy}\)

Step-by-step explanation:

\(\frac{xy}{a^2+a^3}\) × \(\frac{a+a^2}{x^2y^2}\) ( factorise denominator and numerator of 2 fractions )

= \(\frac{xy}{a^2(1+a)}\) × \(\frac{a(1+a)}{x^2y^2}\)

Cancel (1 + a) from both fractions

= \(\frac{xy}{a^2}\) × \(\frac{a}{x^2y^2}\)

Cancel a and xy from both fractions

= \(\frac{1}{a}\) × \(\frac{1}{xy}\)

= \(\frac{1}{axy}\)

a ≠ 0 , x ≠ 0 , y ≠ 0

as this would would make the function undefined

Answer:

Step-by-step explanation:

\(\dfrac{xy}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}\)

Apply the fraction rule \(\dfrac{a}{b}\times \dfrac{c}{d}=\dfrac{a \times c}{b \times d}\) :

\(\implies \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}\)

Cancel the common factor \(xy\) :

\(\implies \dfrac{(a+a^2)}{xy(a^2+a^3)}\)

Factor \((a+a^2)=a(1+a) \ \ \textsf{and} \ \ a^2+a^3=a^2(1+a)\) :

\(\implies \dfrac{a(1+a)}{xy \cdot a^2(1+a)}\)

Cancel the common factor \(a(1+a)\) :

\(\implies \dfrac{1}{axy}\)

I think the "if" part is a, x and y cannot equal zero, as otherwise the expression will be undefined.

So I would put: \(x\neq 0; y\neq 0, a\neq 0\)

Answer:

90

Step-by-step explanation:

q

The question asks for the surface area generated by revolving the function f(x) = x from x = 0 to x = 4 about the x-axis.

To find the surface area generated by revolving a function about the x-axis, we can use the formula for surface area of revolution. The formula is given by: SA = 2π ∫[a,b] f(x) √(1 + (f'(x))^2) dx. In this case, the function f(x) = x is a linear function, and its derivative is f'(x) = 1. Substituting these values into the formula, we have: SA = 2π ∫[0,4] x √(1 + 1^2) dx = 2π ∫[0,4] x √2 dx = 2π (√2/3) [x^(3/2)] [0,4] = 2π (√2/3) [(4)^(3/2) - (0)^(3/2)] = 2π (√2/3) (8). Therefore, the surface area generated by revolving f(x) = x from x = 0 to x = 4 about the x-axis is 16π√2/3.

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Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Answer:

what is jorges prob

The third side of a triangle can be found using the Pythagorean Theorem.

The Pythagorean Theorem states that for a triangle with sides of length a, b, and c (with c being the length of the unknown side) a^2 + b^2 = c^2.

To find the third side of a triangle that is not right, first calculate the lengths of the two known sides. Let's say the lengths of the two known sides are a = 5 and b = 12.

Next, plug the values into the Pythagorean Theorem and solve for c.

\(a^2 + b^2 = c^2\)

\((5)^2 + (12)^2 = c^2 \\25 + 144 = c^2\)

\(169 = c^2\)

Finally, take the square root of both sides to solve for c.

sqrt(169) = c

13 = c

Therefore, the length of the third side is 13.

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The slope of the least-squares regression line is 0.50, which means that for each additional pound in weight, the child's height is expected to increase by 0.5 inches.

The slope of the least-squares regression line can be calculated using the formula:

Slope = (Σxy – (Σx)(Σy)/n) / (Σx2 – (Σx)2/n)

Where n is the number of data points, Σx is the sum of all x-values, Σy is the sum of all y-values, and Σxy is the sum of the products of the x-values and the y-values.

For example, consider a dataset with 10 data points, where the x-values are the heights in inches, and the y-values are the weights in pounds. The sum of the x-values, Σx, would be the total height of all 10 children, the sum of the y-values, Σy, would be the total weight of all 10 children, and the sum of the products of the x-values and y-values, Σxy, would be the total of the products of the heights and the weights for all 10 children. Using these values, the slope of the least-squares regression line would be:

Slope = (Σxy – (Σx)(Σy)/n) / (Σx2 – (Σx)2/n)

      = (2098 - (2040)(812)/10) / (4246 - (2040)2/10)

      = (98) / (1406)

      = 0.50

Therefore, the slope of the least-squares regression line is 0.50, which means for each additional pound in weight, the child's height is predicted to increase by 0.5 inches.

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The probability is 1/24.

There are 4 meals and 4 people, so there are 4! = 24 ways to serve the meals to the people.

However, only one of these ways is correct, so the probability that the waiter will serve the correct meal to the correct person is:

P(correct) = 1/24

This is because there is only one way to serve the meals that matches the correct combination of alphabets used in Sonia.

Therefore, the probability that the waiter will serve the correct meal to the correct person is 1/24.

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Using the combination formula, it is found that the company can select 5 of these employees in 686 ways.

The order in which the representatives are chosen is not important, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, we can have:

Hence, the number of ways is given by:

\(N = C_{9,1}C_{8,4} + C_{8,5} = \frac{9!}{1!8!} \times \frac{8!}{4!4!} + \frac{8!}{5!3!} = 686\)

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The answer is 1) Not statistical, 2) Not statistical, 3) Not statistical, 4) statistical, 5) statistical, 6) statistical.

Statistical questions are questions that require collecting data from a group (a sample) in order to draw inferences about a larger group (a population). It involves numerical answers or data which can be analyzed and then interpreted using statistical methods. For example "the average height of the students in this classroom?" or " percentage of people in this city who own a car?"

Non-statistical are questions which do not require any collection of data or use of statistical methods. These questions are usually categorical answers or that do not contain any numeric values. For example "What color is the sky?" or "What is your favorite food?"

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Full Question:

Classify the questions as statistical or not statistical.

Answer:

30

Step-by-step explanation:

We can use a ratio to solve

45       x

------ = ------

27       18

Using cross products

45*18 = 27x

810=27x

Divide each side by 27

810/27 = 27x/27

30 =x

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

The answer is x=8

Step-by-step explanation:

hope that helps

9x+89=161

9x+89−89=161−89

9x=72

9x/9=72/9

x=8

Answer:

x = 8

Step-by-step explanation:

We just need to solve for x!

Here is a step-by-step process:

9x + 89 = 161

Subtract 89 from both sides

9x = 72

Divide both sides by 9

x = 8

Using proportions, it is found that the scale factor of the transformation is of 1/3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.

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3, -1

Step-by-step explanation:

It goes 3 to the positive side

and one down side

Answer:

7

Step-by-step explanation:

6/(2)+4

3+4

7(BODMAS)

But if you use calculator it we give you

5

(a) (A, B) = 0, (b) ||A|| = √2, (c) ||B|| = √2, (d) d(A, B) = -1. These values are calculated using the given inner product formula and the matrices A and B.

Let's calculate the required values step by step

To find (A, B), we need to substitute the elements of matrices A and B into the given inner product formula:

(A, B) = 2(a₁₁)(b₁₁) + (a₁₂)(b₁₂) + (a₂₁)(b₂₁) + 2(a₂₂)(b₂₂)

Substituting the values from matrices A and B:

(A, B) = 2(1)(0) + (0)(1) + (0)(1) + 2(1)(0)

= 0 + 0 + 0 + 0

= 0

Therefore, (A, B) = 0.

To find ||A|| (norm of A), we need to calculate the square root of the sum of squares of the elements of A:

||A|| = √((a₁₁)² + (a₁₂)² + (a₂₁)² + (a₂₂)²)

Substituting the values from matrix A:

||A|| = √((1)² + (0)² + (0)² + (1)²)

= √(1 + 0 + 0 + 1)

= √2

Therefore, ||A|| = √2.

To find ||B|| (norm of B), we can follow the same steps as in part (b):

||B|| = √((b₁₁)² + (b₁₂)² + (b₂₁)² + (b₂₂)²)

Substituting the values from matrix B:

||B|| = √((0)² + (1)² + (1)² + (0)²)

= √(0 + 1 + 1 + 0)

= √2

Therefore, ||B|| = √2.

To find d(A, B), we need to calculate the determinant of the product of matrices A and B:

d(A, B) = |AB|

Multiplying matrices A and B:

AB = [10 + 01 11 + 00;

00 + 11 01 + 10]

= \(\left[\begin{array}{cc}0&1&\\1&0\\\end{array}\right]\)

Taking the determinant of AB:

|AB| = (0)(0) - (1)(1)

= -1

Therefore, d(A, B) = -1.

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--The given question is incomplete, the complete question is given below " Use the inner product (A,B) = 2a₁₁b₁₁ + a₁₂b₁₂ + a₂₁b₂₁ + 2a₂₂b₂₂ to find (a) (A, B), (b) ll A ll, (c) ll B ll, and (d) d (A, B) for matrices in M₂,₂

A = [1 0; 0 1]

B = [0 1; 1 0]

Thank you, Please show work"--

The percent change from 1994 to 1995 can be computed by which of the following methods.

The percent change from 1994 to 1995 would be computed by the following

Formula: Percent Change = ((New Value - Old Value) / Old Value) x 100Where,

Old Value = Annual caseloads in 1994 = 750

New Value = Annual caseloads in 1995 = 820

Let's put these values into the formula and calculate the percent change.

Percent Change = ((820 - 750) / 750) x 100

Percent Change = (70 / 750) x 100

Percent Change = 0.093 x 100

Percent Change = 9.3%

Therefore, the percent change from 1994 to 1995 would be 9.3%.

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Answer:

-26 :)

Step-by-step explanation:

Fill in y and x with the subs

do parentheses which is 6

6-8(4) - do 8 times 4 which is 32

then 6-32 which is -26

The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Answer:

10x^2 -623x +2

Step-by-step explanation:

the numbers were put in weird so im not sure if this is the answer you were looking for, but thats what i got

The health club has 2 employees who work on lead generation. Each employee contacts leads for 20 hours a week and is paid $20 per hour. Approximately 8% of the leads become members and pay a one-time fee of $100. Material costs are $190 per week, and overhead costs are $1,100 per week. To analyze the productivity of the operation, we need to calculate the multifactor productivity in fees generated per dollar of input. The owner is also considering purchasing a new software program that would allow each employee to contact 20 more leads per week, but it would increase material costs by $260 per week. We need to calculate the new multifactor productivity if the software is purchased and determine how it would affect productivity.

a. To calculate the multifactor productivity, we need to determine the total fees generated and the total input costs. The total fees generated per week can be calculated as 8% of the total number of leads contacted multiplied by the one-time fee of $100, which is (0.08 * 200) * $100 = $1,600. The total input costs per week are the sum of employee wages, material costs, and overhead costs, which is (2 employees * 20 hours/week * $20/hour) + $190 + $1,100 = $2,490. Therefore, the multifactor productivity is $1,600 / $2,490 = 0.64.

b. If the owner purchases the software program and each employee can contact 20 more leads per week, the total number of leads contacted per week by both employees will be 2 * (200 + 20) = 440. The new material costs per week will be $190 + $260 = $450. The overhead costs remain the same at $1,100. The total input costs per week become (2 employees * 20 hours/week * $20/hour) + $450 + $1,100 = $1,650. The new multifactor productivity is $1,600 / $1,650 = 0.97.

c. The new multifactor productivity after purchasing the software program has increased to 0.97 from the previous value of 0.64. The change in productivity can be calculated as ((0.97 - 0.64) / 0.64) * 100 = 51.6%. Therefore, purchasing the software program would increase productivity by approximately 51.6%.

By analyzing the multifactor productivity and the impact of purchasing the software program, the owner can make an informed decision about whether the investment is worthwhile considering the potential increase in productivity.

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Answer:

We can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. To do this, we can rearrange the terms as follows:y = 9 - xy = -1x + 9

This gives us a slope of -1 and a y-intercept of 9. We can plot the y-intercept at (0, 9) and use the slope to find another point on the line. The slope tells us that for every increase of 1 in x, the value of y decreases by 1. So, starting from (0, 9), we can move one unit to the right and one unit down to get another point (1, 8). We can continue this process to find more points or connect the two points we already have to draw a line.

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The resulting graph should be a straight line that starts at the point (0, 9) on the y-axis and intersects the x-axis at the point (9, 0). The line slants downward from left to right.

Here, we have,

We can rewrite the equation in slope-intercept form,

y = mx + b,

where m is the slope and b is the y-intercept.

To do this, we can rearrange the terms as follows:

y = 9 - x

y = -1x + 9

This gives us a slope of -1 and a y-intercept of 9.

We can plot the y-intercept at (0, 9) and use the slope to find another point on the line.

The slope tells us that for every increase of 1 in x, the value of y decreases by 1.

So, starting from (0, 9), we can move one unit to the right and one unit down to get another point (1, 8).

We can continue this process to find more points or connect the two points we already have to draw a line.

To graph the equation y = 9 - x, you can follow these steps:

Step 1: Create a table of values. Choose some x-values and substitute them into the equation to find the corresponding y-values. For simplicity, let's choose three values for x:

x | y = 9 - x

0 | 9 - 0 = 9

3 | 9 - 3 = 6

6 | 9 - 6 = 3

Step 2: Plot the points. Use the x-values from the table and their corresponding y-values to plot the points on the graph. The points are (0, 9), (3, 6), and (6, 3).

Step 3: Draw the line. Connect the plotted points with a straight line. The line should pass through all the plotted points.

The resulting graph should be a straight line that starts at the point (0, 9) on the y-axis and intersects the x-axis at the point (9, 0). The line slants downward from left to right.

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The value of the postfix expression 6 3 2 4 + - * is 18, which falls between 15 and 100. Therefore, the correct answer is d) Something between 15 and 100.

Here is the step-by-step  of how to evaluate the postfix expression:

1. Start with the first two numbers, 6 and 3, and the first operator, *. Multiply 6 and 3 to get 18.
2. Move on to the next two numbers, 2 and 4, and the next operator, +. Add 2 and 4 to get 6.
3. Now you have 18 and 6, and the last operator, -. Subtract 6 from 18 to get 12.
4. The final result is 12.

Therefore, the value of the postfix expression 6 3 2 4 + - * is 12, which falls between 15 and 100. The correct answer is d) Something between 15 and 100.

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Answer:

Step-by-step explanation:

-48

-72

-84

basically if its divisible by 12 its divisible by 3

Answer:

A

Step-by-step explanation:

I just did it

Answer:

B. the negative part of the x-axis

Step-by-step explanation:

i did em

Answer:

Step-by-step explanation:

1. What are the x-intercepts of the graph representing f?  They are the points on the horizontal axis where the graph touches or crosses the axis.  Note that on this axis, y = 0.

2. What are the x- and y-coordinates of the vertex of the graph?  Since the function is written as the product of two binomials, we can take these coordinates directly from the binomials:  (x - 2) yields x = 2 and (x + 4) yields x = -4.

3. What is the y-intercept?   Multiply out these binomials.  We get:

f(x) = x^2 + 2 - 8.   When x = 0, y = -8.  The y-intercept is (0, -8).

1) The x-intercepts of the graph representing f are; 2 and 4

2) The x- and y-coordinates of the vertex of the graph are; (1, -5)

3) The y-intercept is at; (0, -8)

We are given the function; f(x) = (x - 2)(x + 4)

1) The x-intercepts of a graph are the points where the graph crosses the x-axis. The x-intercepts are the value of x when f(x) = 0. Thus, the x-intercepts here are 2 and 4.

2) The vertex is the lowest point of the graph in this case as the parabola opens upwards.

Let us expand the function to get;

f(x) = x² - 2x + 4x - 8

f(x) = x² + 2x - 8

where;  a = 1, b = 2, c = -8

Formula for the x-coordinate of the vertex is;

x = -b/2a

x = -2/2(1)

x = 1

Thus;

y =  (1 - 2)(1 + 4)

y = -5

x- and y-coordinates of the vertex of the graph are; (1, -5)

3) The y-intercept is the point at which x = 0. Thus;

y = 0² + 2(0) - 8

y = -8

The y-intercept is (0, -8).

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To solve the equation √(2x + 3) = 2√(3x + 4), we can square both sides of the equation and simplify to obtain a quadratic equation.

To solve the equation √(2x + 3) = 2√(3x + 4), we square both sides to eliminate the square roots. However, instead of using the suggested method of "4-(3x+4)" or "4 + (3x+4)", we square each term individually. This yields:

(2x + 3) = 4(3x + 4)

Expanding and rearranging the terms, we get:

2x + 3 = 12x + 16

Simplifying further:

12x - 2x = 16 - 3

10x = 13

Dividing both sides by 10, we find:

x = 13/10

Therefore, the solution to the equation is x = 13/10. It is important to use the correct method of squaring both sides and carefully simplify the resulting expression to obtain the correct solution.

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Answer:

5x^2+1

Step-by-step explanation:

2x^2 and 3x^2 are like terms so just add them which gives 5x^2.

2 and -1 are like terms so combine them to make 1.

Answer:

5x²-1

Step-by-step explanation:

We are given the expression:

\(2x^2+2 + 3x^2- 1\)

and asked to simplify.

To simplify this expression, we must combine like terms.

2x²⇒ this has a variable, x²

2⇒ no variable

3x²⇒this has a variable, x²

-1⇒ no variable

Group the like terms.

\((2x^2 + 3x^2)+(- 1+2)\)

Add 2x² and 3x². Add the coefficients and add an x² on the end.

\((2+3)x^2+(-1+2)\)

\((5)x^2+(-1+2)\)

\(5x^2+(-1+2)\)

Combine -1 and 2.

\(5x^2+(-1)\)

\(5x^2-1\)

The expression 2x²+2+3x²-1 simplified is 5x²-1