**Step-by-step explanation:**

...............

............

. let ???? be a discrete random variable that is uniformly distributed over the set of integers in the range [????, ????], where ???? and ???? are integers with ???? < 0 < ????. find the pmf of the random variables max(0,????) and min(0,????).

Filling in the blanks, I assume you're talking about a random variable [tex]X[/tex] distributed uniformly over the integers [tex]a\le x\le b[/tex]. Let both [tex]a,b>0[/tex] so we can write the support of [tex]X[/tex] as the set

[tex]S = \{-a, -a+1, -a+2, \ldots, -1, 0, 1, \ldots, b-2, b-1, b\}[/tex]

Note that [tex]|S| = a+b+1[/tex], so the PMF of [tex]X[/tex] is

[tex]\mathrm{Pr}(X=x) = \begin{cases}\frac1{a+b+1} & \text{if } x\in S \\ 0 & \text{otherwise}\end{cases}[/tex]

Let [tex]Y=\max\{0,X\}[/tex]. Then

[tex]Y = \max\{0,X\} = \begin{cases}0 & \text{if } X\le0 \\ X & \text{if } X>0 \end{cases}[/tex]

which tells us

[tex]\displaystyle \mathrm{Pr}(Y=0) = \mathrm{Pr}(X\le0) = \sum_{x=-a}^0 \mathrm{Pr}(X=x) = \frac{a+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Y\neq0) = \mathrm{Pr}(X>0) = \sum_{x=1}^b \mathrm{Pr}(X=x) = \frac b{a+b+1}[/tex]

Hence the PMF of [tex]Y[/tex] is

[tex]\mathrm{Pr}(Y=y) = \begin{cases}\frac{a+1}{a+b+1} & \text{if } y=0 \\\\ \frac b{a+b+1} & \text{otherwise}\end{cases}[/tex]

Let [tex]Z=\min\{0,X\}[/tex]. The same reasoning applies, but this time

[tex]Z = \min\{0,X\} = \begin{cases} 0 & \text{if } X \ge 0 \\ X & \text{if } X < 0 \end{cases}[/tex]

Now

[tex]\displaystyle \mathrm{Pr}(Z=0) = \mathrm{Pr}(X\ge0) = \sum_{x=0}^b \mathrm{Pr}(X=x) = \frac{b+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Z\neq0) = \mathrm{Pr}(X<0) = \sum_{x=-a}^{-1} \mathrm{Pr}(X=x) = \frac a{a+b+1}[/tex]

so that

[tex]\mathrm{Pr}(Z=z) = \begin{cases}\frac{b+1}{a+b+1} &\text{if }z=0 \\\\ \frac a{a+b+1} & \text{otherwise}\end{cases}[/tex]

For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final. Write an equation that represents Kimberly's P.E final for both walking and running. Define all variables

The eq**uati**on for Kilberly's **running **or **walking **will be R+4w ≤ 6.

When two **expressions **are connected by a **sign **like "not equal to," "greater than," or "**less **than," it is said to be **inequitable**. The inequality shows the **greater **than and **less** than relationship between **variables **and the numbers.

Given that For Kimberly's P.E final she must either **walk **or run at least 5 miles this week. She knows it would take her 15 **minutes **to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must **accomplish **this final.

Let the **running **is represented by 'R' and **walking **by 'w". The **equation **will be written as below:-

R + 4W ≤ 6

Put the **running **and walking times in the **equation **above.

15 + ( 4 x 40 ) ≤ 6

175 minute ≤ 6 x 60

175 minutes ≤ 360 minutes.

Therefore, Kimberly covers the **distance** in **less **than 6 hours.

To know more about **inequality** follow

https://brainly.com/question/24372553

#SPJ1

The point-slope form of a line that has a slope of 2/3 and passes through point (6,0) is shown?

y-0=2/3(x-6)

What is the equation in slope-intercept form?

y-2/3x-12

y-2/3x-6

y-2/3x-4

y-2/3x-8

**Answer:**

See below

**Step-by-step explanation:**

y-0=2/3(x-6) (expand L side)

What is the equation in slope-intercept form?

y** =** 2/3 x - 4

The speeders soccer team charge $12 to watch each car at a fundraiser car wash. The team collected a total of $672 by the end of the day. How many cars did the team was?

**Answer:**

they washed 55 cars

**Step-by-step explanation:**

I did the math good luck

y=-x+7

Graph it also if you can

**Answer:**

**Hope this helps!!**

If the area of a square is 139cm squared, what would the length of the side be?

The length of the side is **11.79cm**

The **area** is the entire amount of space occupied by a flat (2-D) surface or shape of an object.

On a sheet of paper, draw a square with a pencil.

It is a two-dimensional figure.

The area of a shape on paper is the area it occupies.

Area of a square i= 139cm^2

**a^2 = 139**

The **length of the side** **(a)** = [tex]\sqrt{139}[/tex] = **11.79cm**

To learn more about the **area, **refer

https://brainly.com/question/25292087

#SPJ13

Enter the value of p so the expression 18+4.5n is equivalent to p(6 + 1.5n)

**Answer:**

p=1

**Step-by-step explanation:**

p(6+1.5n)=18+4.5n

6p+1.5np = 18+4.5n

18p+4.5np=18+4.5n

p=1

:]

On a standardized exam, the scores are normally distributed with a mean of27 and a standard deviation of 4. Find the Z-score of a person who scored 17on the exam.

mean = 27

standard deviation = 4

n = 17

z = ?

[tex]\begin{gathered} \text{ z = }\frac{X\text{ - }\mu}{\sigma} \\ \text{ z = }\frac{27\text{ - 17}}{4} \\ \text{ z = }\frac{10}{4} \\ \text{ z = 2.5} \end{gathered}[/tex]Result :

** z = 2.5 **

Complete the boxes in the decimal

grid below.

0.345

0.348

Its 69/200 and 345/1000 by converting them

The price of an item yesterday was %130.Today, the price rose to $169 . Find the percentage increase.

The **percentage increase** when the price of an item increased is 30%.

From the information, the **price** of an item yesterday was $130 and today, the price rose to $169.

The increase in the **price** will be:

= $169 - $130

= $39

Therefore, the **percentage** increase will be:

= Increase in **price** / Original price × 100

= 39 / 130 × 100

= 30%

Learn more about **percentages** on:

brainly.com/question/24304697

#SPJ1

Please help!!!

I’ll give you the Brainiest

Does multiplying by a conversion factor change the

amount of what is being measured?

**Answer:**

Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.

**Step-by-step explanation:**

There is no explanation

WILL GIVE BRAINLIEST

find all values of x for which (f∘g)(x)=(g∘f)(x).

f(x)=x/(x+2), g(x)=x^2

**Step-by-step explanation:**

(f○g)(x) means f(g(x))

(g○f)(x) means g(f(x))

f(g(x)) means to use the expression of g(x) as input to f(x). so, we replace all simple x in f(x) by g(x) = x².

f(g(x)) = x²/(x² + 2)

using the same principle we get for

g(f(x)) = (x/(x + 2))² = x²/(x + 2)²

now we need to solve

x²/(x² + 2) = x²/(x + 2)²

let's multiply both sides with both denominators :

x²(x + 2)² = x²(x² + 2)

x²(x² + 4x + 4) = x²(x² + 2)

so, one solution is clear : x = 0.

because then we have 0 = 0.

for x <> 0 we can divide both sides by x² and get

x² + 4x + 4 = x² + 2

4x + 4 = 2

4x = -2

x = -2/4 = -1/2

both expressions are equal for x = 0 and x = -1/2

1-4: Literal Equations Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximat 3360 square feet, and the width of the billboard was approximately 56 feet, what was the height of this billboard?

If the **area **of the** rectangular billboard** covered by the ribbon was approximately 3360 square feet, and the width of the billboard was approximately 56 feet, the height of the billboard would be 71.25 feet.

The exact measurement that helps to express the size of a region on a plane or curved surface is thus called as **area**.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or **planar lamina.**

In **mathematical terminology**, area can be defined as the total space that is taken up by a flat (2-D) surface or shape of a present object.

Here the area of the billboard = 3360 sq feet

Width of the billboard = 56 feet

We know that

area of the billboard = Height of the billboard x Width of the billboard

⇒ Height of the billboard = [Area of the billboard] / [Width of the billboard]

⇒ Height of the billboard= 3360/56

⇒ Height of the billboard = 71.25 feet

To know more about **area**, visit:

**https://brainly.com/question/7150379**

#SPJ9

Mike and Raymond each read the same book.Mike reads 182 pages in 7 hours.Raymond reads 168 pages in 6 hours. Based on the rates which statement is true? select TWO correct choices

A.Mike reads faster than Raymond.

B.Raymond reads faster than mike.

C.Mike reads 2 more pages than raymond in one hour.

D.Raymons reads 52 pages in 3 hours.

E.Mike can read 13 pages in half an hour.

Answer:

B and c

Step-by-step explanation:

182/7=26

168/6=28

-24 = -12v solve for v and simplify as much as posible

Divide both sides of the equation by the coefficient of variable:< br />Remove the parentheses:< br />Calculate the product or quotient:< br />Answer: < br />

**Answer:**

divide both sides by the coefficient of v which is 12

-24/-12=-12v/-12

-2=v

f(x) = −3|x −1| + 4

**Answer:**

Find the Inverse f(x)=3x-1/4. f(x)=3x−14 f ( x ) = 3 x - 1 4. Step 1. Write f(x)=3x−14 f ( x ) = 3 x - 1 4 as an equation. y=3x−14 y = 3 x - 1 4.

**Step-by-step explanation:**

The line passes through the points (-2,5) and (-8,-8)

Slope =

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 8 - 5}{ - 8 - ( - 2)} \\ m = \frac{ - 13}{ - 8 + 2} \\ m \frac{ - 13}{ - 6} \\ m = \frac{13}{6} [/tex]

ATTACHED IS THE SOLUTION.

**I also provided you with ****the**** ****formula to calculate the slope between the points.**

**formula to calculate the slope between the points.GOODLUCK**

Calculate the number of students per teacher at West Elementary school

Ok, so

We know that, at West Elementary school, there are 438 students and 22 full-time teachers. We want to know the number of students per teacher. This is:

[tex]\frac{438\text{students}}{22\text{teachers}}=19.91\frac{students}{teacher}[/tex]the population of rabbits on an island is growing exponential in the year 2008, the population of rabbits was 7100 and by the year 2013 the population had grown to 8900 . Predict the population of rabbits by the year 2023 to the nearest whole number

The **population** of **rabbits** by the year 2023 is 13985.

We have to use the following **exponential** function. This will be:

**y = a b^t**

In 2008 means, t=0

So we have 7100 = a b^0

a = 7100

y = 7100b^t

In 2013 means t = 2013-2008 =5

8900 = 7100 b⁵

b⁵ = 89/71

b = 1.046

So the **equation** will be

y = 7100 (1.046)^t

For 2023, t=2023-2008= 15

y = 7100(1.046)¹⁵

= 13985

The **population** is 13985.

Learn more about **exponential function** in:

https://brainly.com/question/2456547

#SPJ1

What is the least common multiple of 3, 5, and 10?

30

because 3x10 is 30 5x6 is 30 and 10x3 is 30

because 3x10 is 30 5x6 is 30 and 10x3 is 30

17x-5

16x + 3 what is x

**Answer:**

x = 8

**Step-by-step explanation:**

17x-5 = 16x + 3

Step 1: Subtract 16x from both sides.

17x−5**−16x**=16x+3**−16x**

x−5=3

Step 2: Add 5 to both sides.

x−5**+5**=3**+5**

x=8

The **solution** to the **equation** is x = 8.

To solve the **equation** 17x - 5 = 16x + 3 and find the value of x, we can follow these steps:

Start by simplifying both sides of the equation by **combining** like terms. Add 5 to both sides to move the **constant term** to the right side of the equation:

17x - 5 + 5 = 16x + 3 + 5

17x = 16x + 8

Next, we want to isolate the x term on one side of the **equation**.

**Subtract** 16x from both sides:

17x - 16x = 16x - 16x + 8

x = 8

Therefore, the **solution** to the **equation** is x = 8.

Learn more about **equation **click;

https://brainly.com/question/29657983

#SPJ6

10-2y=46 solve for y

**Answer:**

**-18**

**Step-by-step explanation:**

first subtract ten from both sides now you're left with -2y=36 ,lastly divide both sides by -2 and you're left with y= -18

I need assistance on scatter plots. Please see the attached question

From the scatter plot of sales of Ceiling Fan in relation to Temperature.

(a) We are asked to characterized the money spent on Ceiling Fan to Temperature.

The relationship between the money spent on Ceiling Fan and Temperature is **positive correlation**.

When the y variable tends to increase as the x variable increases, we say there is a positive correlation. Which we can see in the scatter plot in the question.

(b) using the function y = 20x + 0, we are to find the predicted amount of sales if temperature is 21 degrees Celsius.

With the function:

y = 20x + 0

When Temperature is 21 degrees that means x = 21

So let's input x = 21 into the given function.

y = 20(21) + 0

y = 420 + 0

y = **420**

Therefore, the predicted amount of sales when Temperature is 21 degrees Celsius is **$420**.

(c) What does the number 0 in the function mean in the contest of this situation?

In a linear interpretation which the function represents, the number 0 can be seen as the y intercepts of the function.

among all rectangles that have a perimeter of 48, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.

among all rectangles that have a **perimeter **of 48 Then the dimensions of the one whose area is largest is 12 by 12

The formula for calculating the **perimeter **of a rectangle is expressed as:

P = 2(L + W)

L is the length of the rectangle

W is the width

Given that the **perimeter **is 156, hence;

2(L + W) = 48

2L + 2W = 48

L + W = 24

W = 24 - L

The area of the **rectangle **is expressed as:

A = LW

A = L(24-L)

A = 24L - L^2

To get the dimensions of the one whose area is largest, dA/dL = 0

dA/dL = 24 - 2L

0 = 24 - 2L

2L = 24

L = 24/2

L = 12

Recall that 2(L+W) = 48

2(12 + W) = 48

12 + W = 24

W = 24 - 12

W = 12

Hence the dimensions of the one whose area is largest is 12 by 12

Learn more about of **rectangle **here

https://brainly.com/question/6691558

#SPJ4

How can you determine which of the numbers below is greatest 13/20, 5/8, 3/5, 3/10

**Answer:**

13/20 is the greatest because it is equal to 65% of 100%.

**Step-by-step explanation: **

**5/8 = to 12.5x5=62.5%. 3/5= 20x3=60%. 3/10 = 10x3=30%. So 13/20 is the greatest.**

The measures of the exterior angles of an octagon are x°x°, 2x°2x°, 3x°3x°, 4x°4x°, 5x°5x°, 6x°6x°, 9x°9x°, and 10x°10x°. Solve for xx.

**Answer:**

**x=10**

**Step-by-step explanation:**

**Given: =The exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°,8x°.**

**Then, x°+2x°+3x°+4x°+5x°+6x°+7x°+8x° =360°**

**⇒ 36x = 360**

**⇒ x= 10**

when was the temperature decreasing

**Answer:**

I need you to be more specific and answer options. That is the only way anyone can answer this question.

**Step-by-step explanation:**

wht is the ending balance of R341000 at 4% for 3 years?

The **ending balance** for a amount of Rs. 341,000 with a **interest **rate of 4% for the time period of 3 years is Rs. 381920.

**What is interest?**

In the fields of finance and economics, **interest **is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).

Information given in the question,

Principle amount = 341,000

Time period = 3 years

**Interest **rate is 4 % which can be written as 0.04 in decimals.

We can calculate the ending balance using this formula formula for **simple interest**:

[tex]S.I. = Principle \times Interest \times time[/tex]

Putting the values given in the question

S.I. = (341000)(0.04)(3)

S.I. = 40,920

**Interest **is 40,920.

The ending balance is the sum of Principle amount and **Interest**. So,

ending balance = 341000+40920

ending balance = 381920

To know more about **Interest**, go to link

https://brainly.com/question/16134508

#SPJ9

assume 11% of the population is left-handed. assume this percentage is also true for all college students. a random sample of 209 college students from a campus with 5225 students is taken and whether or not they are left-handed is recorded.

After finding the **probability** we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

11 % of the population is left-handed so here we have to find the **probability** of left-handed students if 209 random students are selected from 5225 students on campus here Favorable** outcome** is 209 and the total** outcome** is 5225, so the favorable outcome upon the total number of the** outcome**.

According to the probability formula :

**Probability** =** **[tex]\frac{favorable outcome}{Total number of outcome}[/tex]

Probability = 209 / 5225

After diving the above equation we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

Learn more about **probability** here :

https://brainly.com/question/11234923

#SPJ4

Can someone answer this please?

1. The **cheapest meat** is Ms barker free Ronge whole chicken in $6 per kilo.

2. The **cost **of 200 grams of **honey leg ham** is $3.4.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of all meat is shown in figure.

Now,

By the figure, we get;

The cheapest meat is Ms barker free Ronge whole chicken which is in

$6 per kilo.

And, The cost of honey leg ham = $17 per kilo

Since, 1 kilograms = 1,000 grams

The cost of 1 gram of honey leg ham = $17/1000

So, The cost of 200 grams of honey leg ham = 200 × 17 / 1000

= $3.4

Thus,

1. The **cheapest meat** is Ms barker free Ronge whole chicken in $6 per kilo.

2. The **cost **of 200 grams of **honey leg ham** is $3.4.

Learn more about **the divide** visit:

https://brainly.com/question/629998

**#SPJ1**

-. Convert the 400nm wavelength of the violet light into meters.
Which of the following are equal for a chemical system at equilibrium?
what happens to the ice over time?
SSS stands for ___ Congruence Postulate ( will mark Brainliest )
What kind of computer technologyis used to identify people based onphysical
Evaluate.15(3+13)^2Responses:1 7/201 7/94 1/25 1/9PLEASE HELP
Pls I need help with 2 problems as quick as possible thank you
I'm not sure how to answer this question - I understand that bleach + vinegar is a neutralisation reaction. The answer says that the equilibrium gets pushed to the left, producing more chlorine gas which is toxic, but I don't understand how the bleach + vinegar relates to the equilibrium reaction shown in the question.
What was Kennedy's plan for Vietnam after sending aid proved to not be effective?A. Increase the amount of aid and advisors sent to South VietnamB. Use bombing missions to keep troops out of a land warC. Send in troops and begin a massive invasion of North VietnamD. Withdraw advisors and aid after the presidential election
Write the correct equation for the following statement.The product of x and nine is three
let x denote the number of times harry potter manages to irritate professor snape in one day. let y denote the number of times ron weasley manages to irritate professor snape in one day. and let the joint probability mass function for (x, y) be given as
While Metamora was one of the most widely performed theatrical productions in nineteenth-century America, the play was boycotted in a city in ______.a. Marylandb. Missouric. New Yorkd. Georgia
I don't know how to solve this :,)Can someone break it down for me, please
HURRY PLEASE DO IN HOUR? Determine the mass in grams of 6.63 102' atoms of arsenic. (The mass of one mole of arsenic is 74.92 g.)
benefits of cellular technology based system to society
:: 3x + 3 = 2(x + 7)
as the human resources director for your company, you must give a presentation to the company owners about the staff demographics in each of your company's two locations. what organizational pattern would be best for you to present your data?
what is the least multiple of 8
A cyclists speed is 1.5 times faster than a walkers speed. they simultaneously start moving in the same direction from the same point and, after 1.5 hours, the distance between them is 12.5 miles. what are their speeds?
Give 4 examples of image perception models