: Consider the joint pmf. (x + 1)y Px,y(x, y) = ; x = 0,1,2 ; y = 1,2,3 36 0 ; Otherwise Compute and report the marginal pmf of Y. Report a complete pmf. Problem 3: Consider the following function of X and Y: -1

Answer: this is the basic d

Step-by-step explanation idf k man comletely honest, i just searched that shi up and i saw that so yeah...

There must be at least one x-value that makes the function undefined if r(x) is a rational function.

If r(x) is a rational function in simplest form where the degree of the numerator is 2 and the degree of the denominator is 2, then it is possible for the function to be undefined for some values of x.

A rational function is defined as the quotient of two polynomials, and when the degree of the numerator is equal to the degree of the denominator, it is possible for the denominator to equal zero for some values of x, which would make the function undefined for those values.

This means that there must be at least one x-value that makes the function undefined. To determine these x-values, we need to find the zeros of the denominator and set the denominator equal to zero, then solve for x.

The x-values that make the denominator equal to zero are known as the vertical asymptotes of the function, and they are the x-values for which the function is undefined.

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For a straight line graph, the point at which the line crosses the y axis is called the y intercept. From the information given, the line crosses the y axis at - 5. This means that the y intercept is - 5

We would write the equation in the slope intercept form whicg is expressed as

y = mx + c

Where m represents the slpoe

We would substitute x = 2, y = 3 and c = - 5 in the equation above to determine the slope, m. It becomes

3 = m * 2 - 5

3 = 2m - 5

3 + 5 = 2m

2m = 8

m = 8/2

m = 4

The equation would be

y = 4x - 5y interceptF

Answer:

h = 25.5

Step-by-step explanation:

Hi there!

Multiply both sides by 5 to isolate h.

5.1 * 5 = 25.5

h = 25.5

Answer:

h = 25.5

Step-by-step explanation:

Given

\(\frac{h}{5}\) = 5.1 ( multiply both sides by 5 to clear the fraction )

h = 5 × 5.1 = 25.5

We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

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Answer:

24

Step-by-step explanation:

Find LCM of  3 8 and 12

(calculation attached)

lcm = 3 x 2 x 2 x 2  = 24

i hope im  right!

The shortest length of the wood will be 24 meters.

The Least Common Multiple (LCM) refers to the common multiple that is the least (smallest) among all possible multiples for both numbers. Calculating this least common multiple for numbers is made easier by the LCM formula.

Given that the length of the wood is 3m, 8m, and 12 m. The shortest length will be calculated by taking the least common factor of the given lengths 3m, 8m, and 12 m.

The least common factor is calculated as:-

3 = 3 x 1

8 = 2 x 2 x 2

12 = 2 x 2 x 3

LCM = 3 x 2 x 2 x 2 = 24

Hence, the shortest length of the wood will be 24 meters.

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Answer:

Step-by-step explanation:

Nshsdhdhdhdjsdnddndnd

Answer:

Step-by-step explanation:

5:2

Based on the amount of water in the tub that Archimedes is draining as a function of time, the rate that the water drains is A. 72 liters per minute

The speed that the water drained is the same as the slope of the line. That slope can be found by the formula:

= Change in y / Change in x

Pick two points from the line;

(0, 360) and (5, 0)

The slope is:
= (0 - 360) / (5 - 0)

= -360 / 5

= - 72

This means that every minute, Archimedes  would have drained the water by 72 liters.

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Answer:

the temperature of f degrees Fahrenheit converted to degrees Celsius.

Step-by-step explanation:

Step-by-step explanation:

Perimeter = 114 units

2 (4x + 5x + 3) = 114

18x + 6 = 114

X = 6

Length of RS = 4x = 24

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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The value of the inverse tangent function in radians for -0.09 is approximately -0.0901 radians.

The inverse tangent function, denoted as atan(x) or arctan(x), returns the angle whose tangent is equal to the given value of x. In other words, it gives the angle whose tangent is x.

To find the inverse tangent of -0.09, we use the notation atan(-0.09) or arctan(-0.09).

Using a calculator or mathematical software, we can input -0.09 into the inverse tangent function and calculate the result.

For -0.09, the inverse tangent function yields an angle of approximately -0.0901 radians.

Therefore, the value of the inverse tangent function in radians for -0.09 is approximately -0.0901 radians.

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Answer:

y = x + 15

Step-by-step explanation:

You swim 15 minutes more than a friend.The friend swims x minutes.

The amount of time you swim is 15 more than x.

Your time is y

Therefore y = x + 15 would be the equation.

The domain of the function can be written in the form of interval as  (-∞, ∞).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The function is given as y = aˣ.

Its domain can be found as follows,

For x = 0, y is a⁰ = 1.

For x = n, where n > 0, y is given as,

y = aⁿ, which is greater than zero.

For x = n, where n < 0, y is given as,

y = a⁻ⁿ

⇒ y = 1/aⁿ

Thus, the given function is valid for all real numbers.

Which implies its domain is (-∞, ∞).

Hence, the domain of the given function is obtained as (-∞, ∞).

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Answer:

y= -1/3x-2

Step-by-step explanation:

comment if u need a explaination

Answer:

\(0\leq y\leq 8\)

Step-by-step explanation:

because it cant go below x-axis with is y = o and nothing above 8

The function can produce any y-value between 0 and 8, including both 0 and 8 (option a).

The range of a function refers to the set of all possible output values, or y-values, that the function can produce. To identify the range of the function shown in the graph, we need to determine the highest and lowest y-values that the graph reaches.

Looking at the graph, we can see that the highest point on the graph is at y = 8, and the lowest point is at y = 0. Therefore, the range of the function is from y = 0 to y = 8.

In other words, the function can produce any y-value between 0 and 8, including both 0 and 8. We can express this range using interval notation as [0, 8].

So, the correct answer is option A: 0 ≤ y ≤ 8.

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Answer:

4w - 10

Step-by-step explanation:

Step 1: Write expression

-2(w + 5) + 6w

Step 2: Distribute -2

-2w - 10 + 6w

Step 3: Combine like terms

4w - 10

Answer:

3 5/8

Step-by-step explanation:

divide 29 by 8,

8 times 3 is 24

29-24, remainder is 5

x = 0

here's an explanation

3x = 9x

subract 9x from both sides

3x - 9x = 6x     9x - 9x = 0

this gives you

6x = 0

divide 6x on both sides

6x/6 = x   0/6 = 0

x = 0

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

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

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

What is a combination of reflections?

Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.

Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.

One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.

This would take the hexagon from its original position to itself.

Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.

This would also take the hexagon from its original position to itself.

Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

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Answer:

Step-by-step explanation:

Answer:

5 small rooms and 10 large rooms

Step-by-step explanation:

EZ POG

Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.

While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.

The answer is C.

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Hi, there.

 _____

Substitute 3 for c.

\(\boldsymbol{2(3)^{2}+5}\)

Simplify.

\(\boldsymbol{2(9)+5=18+5=23}\)

Hope the answer - and explanation - made sense,

happy studying.

The solution to the expression \(2c^2+5\) is 23 , when c = 3.

Given data:

To evaluate the expression  \(2c^2+5\) when c = 3, substitute the value of c into the expression:

\(2c^2+5\)

\(2(3)^2 + 5\)

Now, perform the operations inside the parentheses first:

2(9) + 5

On simplifying the equation:

Next, perform the multiplication:

18 + 5

Finally, perform the addition:

18 + 5 = 23

Hence, when c = 3, the expression \(2c^2+5\) evaluates to 23.

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The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.

In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.

Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.

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a. To find the probability that a mountain bike is brown, we need to add up the production volumes for both models that come in brown and divide it by the total production volume. So, the total production volume is:
302 (XB-50 in blue) + 40 (YZ-99 in blue) + 105 (XB-50 in brown) + 205 (YZ-99 in brown) + 200 (XB-50 in white) + 130 (YZ-99 in white) = 982
The production volume for brown mountain bikes is 105 (XB-50) + 205 (YZ-99) = 310. So, the probability that a mountain bike is brown is:
310 / 982 = 0.316 or 31.6%

The production volume for brown mountain bikes is 31.6%.

b. To find the probability that the mountain bike is a YZ-99, we need to add up the production volumes for YZ-99 in all three colors and divide it by the total production volume. So, the production volume for YZ-99 is:
40 (blue) + 205 (brown) + 130 (white) = 375
The total production volume is still 982. So, the probability that the mountain bike is a YZ-99 is:
375 / 982 = 0.382 or 38.2%

The probability that the mountain bike is a YZ-99 is 38.2%.

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Answer:

34°

Step-by-step explanation:

sum interior measure = (n-1)*180 ; n is the number of sides

of the polygon

(n-1)*180

(4-2)*180

2*180

360° ( sum interior measure )

The angles of the quadrilateral are ( 90 , 90 , w , 146 )

90+90+146+w = 360

326+w = 360

w = 360-326

w = 34°

Hope you get benefit from it

Answer:

×=-2+12/2,the anwser is ×=5,×=-7

The function f(x) decreases in the interval (π/2, 2π), which corresponds to option c.

To find the intervals on which f(x) = 10 x + 10 cos(x) decreases for 0 < x < 2ᴫ, we need to find where the derivative is negative. Taking the derivative of f(x) gives us:

f'(x) = 10 - 10sin(x)

Setting this equal to zero and solving for x gives us:

sin(x) = 1

However, there is no solution to this equation for 0 < x < 2ᴫ, since sin(x) only takes values between -1 and 1. Therefore, f(x) is never decreasing on the given interval, and the answer is d) f(x) is never decreasing on the given interval.
To determine the intervals on which the function f(x) = 10x + 10cos(x) decreases for 0 < x < 2π, we first find its derivative, f'(x), and analyze its sign.

f'(x) = 10 - 10sin(x)

Now we need to find the critical points where f'(x) = 0:

10 - 10sin(x) = 0
sin(x) = 1

The solution for x in the given interval is x = π/2. So, we have two intervals to check for the sign of f'(x): (0, π/2) and (π/2, 2π).

1. Interval (0, π/2):
Choose a test point, e.g., x = π/4. Then f'(π/4) = 10 - 10sin(π/4) > 0, which means f(x) is increasing in this interval.

2. Interval (π/2, 2π):
Choose a test point, e.g., x = 3π/2. Then f'(3π/2) = 10 - 10sin(3π/2) < 0, which means f(x) is decreasing in this interval.

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Answer:

16.6666666666667%

Step-by-step explanation:

17/102 = x/100

17*100/102 = x

x = 16.66666667

Answer:

The percent is:

16.667%

Step-by-step explanation:

17 / 102 = 0.16667

0.16667 * 100 = 16.667%

99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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