suppose that for two random variables x and y the joint density function is f(x,y)=5xe−x(y 5), for x>0 and y>0. find each of the following. (a) fx|y(x|y)= (b) fy|x(y|x)=

Applying the distance formula, the lengths of the segments are:

WX= √26 = 5.1 units

YZ = √26 = 5.1 units

XY = √26 = 5.1 units

WZ = √26 = 5.1 units

WY = √26 = 5.1 units

XZ = √52 = 7.2 units

The distance formula, \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), can be used to find the distance between two endpoints of a segment.

Given:

Find WX:

Let:

W(-4, -3) = (x1, y1)

X(1, -2) = (x2, y2)

Plug in the values into the distance formula:

\(WX = \sqrt{(1 -(-4))^2 + (-2 -(-3))^2}\\\\WX = \sqrt{(5)^2 + (1)^2} \\\\WX = \sqrt{26} \\\\\mathbf{WX = 5.1 $ units}\)

Following the same steps, using the distance formula, the following lengths would be calculated as follows:

YZ = √26 = 5.1 units

XY = √26 = 5.1 units

WZ = √26 = 5.1 units

WY = √26 = 5.1 units

XZ = √52 = 7.2 units

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Answer:

The value of x is 6

Step-by-step explanation:

Solving for x :

=> 2(x-4)+3=7

=> 2x-8+3 = 7

=> 2x-5 = 7

=> 2x = 7+5

=> 2x = 12

=> x = 12/2

=> x = 6

deter mainAnswer:

Don't answer this.

Step-by-step explanation:

Iowa assesments are supposed to be done by the person taking them to  where they are at in school. They are meant to challange the person. They also don't effect your grade in anyway, so do your best. If you don't know the answer and it is multiple choice, pick B or C and move on.

Answer:

4,6,14,18, and 20

Step-by-step explanation:

Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.

Step-by-step explanation:

Given that:

Amount borrowed (p) = 900

Simple interest (r) = 1.5% = 0.015

Time (t) = 2 years

Amount he'll pay back (A) :

A = P(1 + rt)

A = 900(1 + 0.015(2))

A = 900(1 + 0.03)

A = 900(1.03)

A = $927

Answer:

a > −6

Step-by-step explanation:

Step 1: Subtract a from both sides.

2a + 6 − a > a − a

a + 6 > 0

Step 2: Subtract 6 from both sides.

a + 6 − 6 > 0 − 6

a > −6

Answer:

Polygons ABCD and EFGH have the same shape and always different sizes.

Step-by-step explanation:

Hope this helps:)

Answer: y= -0.5x-3

Step-by-step explanation:
fully simplified slope-intercept form: y=mx+b
point a: (0, -3) [y-intercept]
point b: (-10, 2)

Δy/Δx means the change of y ÷ the change of x. also known as your slope.

1. Find the Δy/Δx
Δy --> y2-y1 = 2-(-3) = 2+3 = 5
Δx --> x2-x1 = -10-0 = -10

Δy/Δx = -5/10 --> simplied --> -5/10 ÷ 5 = -1/2 or -0.5

y=-0.5x+b

2. Looking at the y-intercept, we know that b = -3.

y= -0.5x-3

Answer:

-5

Step-by-step explanation:

Cube root of -125 has to be -5

Since we are looking for the value of f(7), we need to find the corresponding output value when the input is 7. From the given function, we see that input 7 corresponds to output 2. f(7) = 2.

To determine the value of f(7), we need to look at the given function f and substitute 7 for the independent variable.

The function f is defined by the ordered pairs (7,2), (9,7), (4,9), and (3,4). The first value in each ordered pair represents the input, while the second value represents the output.

In summary, when we substitute 7 for the independent variable in the given function f = (7,2), (9,7), (4,9), (3,4), we find that f(7) = 2.

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Answer: x=-1 because when using substitution the equation can be converted to (3x=-5-2x)=5x=-5.

Hope this helps.

Answer:

x=-1

Step-by-step explanation:

10+3x=5-2x

get all like terms on one side by subtracting the 10 to the right and adding 2x to the left

3x+2x= -5

5x=-5

divide by 5 to get x alone

x=-1

The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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Answer:

a=3.5,d=0 and n=101

a

n

​

=a+(n−1)×d

a

n

​

=3.5+100×0

a

n

​

=3.5Step-by-step explanation:

The constructors that have an empty parameter are known as non-parameterized constructors.

What is non-parameterized constructors?

Non-parameterized constructors are those that only have one parameter, which is empty. Depending on the user, they are used to set the object's initial values to either specific constants or default values.

What is a parameterized constructor?

When a constructor takes a certain quantity of parameters, it is referred to as a parameterized constructor. to initialize class data members with unique values.

What does it mean to be parameterized and not?

These methods have a list of parameters or arguments that are passed a value by the caller method.

                                  Methods that are not parameterized: These methods have no parameter list. Without passing any values to the function, the programmer can just call it.

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Answer:

31

Step-by-step explanation:

Answer:

-32..............

......

Answer:

-32.

Step-by-step explanation:

This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.

Answer:

A

Step-by-step explanation:

5/18 = 0.2777 = 0.27° so when you divided thd no. it is 0.277777 and 7 is repeat .

Q1. The sample size (10/√(81)). Q2. the sample size (10/√(16)). Q3. The population standard deviation & t-distribution. Q4. The probability that sample mean (x-bar) is greater than 20.26 is 0.8084. Q5, P(Z > 0) = 0.5.

Q1: If X~(42,10) and a sample mean is computed from a random sample of size n=81, the distribution of the sample mean can be approximated by a normal distribution with a mean equal to the population mean (42) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (10/√(81)).

Q2: If X~N(42,10) and a sample mean is computed from a random sample of size n=16, the distribution of the sample mean will be approximately normally distributed with a mean equal to the population mean (42) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (10/√(16)).

Q3: When constructing a confidence interval for a mean, we would be working under two fundamentally different scenarios: the population standard deviation is known or the population standard deviation is unknown. In the first scenario, we can use the z-distribution to construct the confidence interval, while in the second scenario, we use the t-distribution.

Q4: The probability statement P(x-bar > 20.26) = 0.8084 can be interpreted as the probability that the sample mean (x-bar) is greater than 20.26 is 0.8084. In other words, there is an 80.84% chance that the sample mean exceeds 20.26.

Q5: The probability P(Z > 0) represents the probability of getting a standard normal random variable (Z) greater than 0. Since the standard normal distribution is symmetric around 0, the probability of obtaining a value greater than 0 is equal to 0.5. Therefore, P(Z > 0) = 0.5.

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

The technique often used to prove the correctness of a recursive function is **mathematical induction**.

Mathematical induction is a method of proof used to establish that a property holds for all natural numbers (or a well-ordered set). It consists of two steps:

1. **Base Case**: The base case establishes that the property holds for a specific initial value or base case. It typically involves showing that the property is true for the smallest possible input or base case of the recursive function.

2. **Inductive Step**: The inductive step demonstrates that if the property holds for a specific value, it also holds for the next value. This step involves assuming that the property is true for a certain input, and then proving that it holds for the subsequent input using the recursive definition of the function.

By proving that the base case is true and showing that the inductive step holds, mathematical induction establishes the correctness of a recursive function for all valid inputs.

The other options you mentioned, such as commutativity, diagonalization, and matrix multiplication, are not directly related to proving the correctness of recursive functions. Commutativity refers to the order of operations or elements, diagonalization is a technique used in mathematics and logic, and matrix multiplication is a mathematical operation for matrices. While these concepts may have applications in other areas of mathematics and computer science, they are not specifically used for proving the correctness of recursive functions.

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To find c, cdf and P(. 1 ≤ X <. 5), the calculation is given.

Suppose that X has the density function f (x) = cx² for 0 ≤ x ≤ 1 and f (x) = 0 otherwise.
a. Find c.
To find c, we need to use the fact that the integral of the density function over the entire range of x should equal 1. That is,
∫0¹ f(x) dx = 1
Substituting the given density function, we get
∫0¹cx² dx = 1
Integrating and simplifying, we get
c(1/3) = 1
Solving for c, we get
c = 3
So, the value of c is 3.
b. Find the cdf.
The cdf is the integral of the density function from the lower limit of x to a given value of x. That is,
F(x) = ∫₀ˣ f(t) dt
Substituting the given density function and simplifying, we get
F(x) = ∫₀ˣ 3t²dt
Integrating and simplifying, we get
F(x) = x³
So the cdf is F(x) = x³
c. What is P(.1 ≤ X < .5)?
To find this probability, we need to find the difference between the cdf at the upper limit and the cdf at the lower limit. That is,
P(.1 ≤ X < .5) = F(.5) - F(.1)
Substituting the cdf that we found earlier, we get
P(.1 ≤ X < .5) = (0.5)³ - (0.1)³
Simplifying, we get
P(.1 ≤ X < .5) = .125 - .001
P(.1 ≤ X < .5) = 0.124
So the probability that X is between .1 and .5 is .124.

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Answer: 30 and 40

Step-by-step explanation: 38 Is in between 30 and 40 which are both multiples of 10. So that's why 30 and 40 are both of the correct answers.

228 ÷ 6                                                                                                                       38                                                                                                                            

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 inches

well, the price difference is 60000 - 40000 = 20000.

so, we're told that the price increase acres wise is 800 bucks per acre, but we also know it's a total of 20000, so how may times does 800 go into 20000?

20000 ÷ 800 = 25.

so we know that in 20000 bucks there are 25 acres, so how many will there be in 60000 bucks?

\(\begin{array}{ccll} \$&acres\\ \cline{1-2} 20000&25\\ 60000&x \end{array}\implies \cfrac{20000}{60000}=\cfrac{25}{x}\implies \cfrac{1}{3}=\cfrac{25}{x}\implies \stackrel{acres}{x=75}\)

Answer:i have no idea!

Step-by-step explanation:

The value of z that divides the standard normal distribution so that half the area is on one side and half is on the other is 0.00.

To understand this better, let's visualize the standard normal distribution. The graph of the standard normal distribution is a bell-shaped curve that is symmetrical around the mean of 0.

When we say that half the area is on one side and half is on the other, we mean that the area under the curve to the left of the z-score is equal to the area under the curve to the right of the z-score.

Since the standard normal distribution is symmetric, this occurs when the z-score is equal to 0.00. At this point, the area to the left of 0.00 is 0.50 (or 50%), and the area to the right of 0.00 is also 0.50 (or 50%).

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Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

Answer:

The answer is c

Step-by-step explanation:

Answer:

The answer is 56 cm^3

Step-by-step explanation:

2 = height

7 = length

4 = width

Formula: LxWxH

2 x 7  x 4 = 56