Sanjay, Ajay and Anushka are employees of a company that has branches in Chennai, Bangalore and Mumbai. The company sends each of them to one of these cities at random. Let X X be a random variable that denotes the number of employees assigned to their favourite cities. If Chennai, Bangalore and Mumbai are the favourite cities of Sanjay, Ajay and Anushka, respectively, then find the possible values of X.

a. X= {0,1,2}
b. X= {0,1,2,3}
c. X= {0,1,3}
d. X= {0,[infinity]}

Answers

Answer 1

Answer:

c. X= {0,1,3}

Step-by-step explanation:

We have these possible outcomes:

None assigned to their favorite cities.

One assigned to their favorite city(The other two are assigned to the other's favorite city).

All are assigned to their favorite city.

Why is two not possible?

If two peooke are assigned to their favorite city, the third person necessary has to be assigned to their favorite city, as it will be the only option remaining.

So the correct answer is given by option c.


Related Questions

Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?

Answers

Answer:

T = 2.5

Step-by-step explanation:

Hope this helps!

Answer:

T >2.5

Step-by-step explanation:

Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.

Answers

Answer:

0.01521

Step-by-step explanation:

The Margin of Error for Difference in Proportions is given as:

z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2

z = z score for 95% confidence interval

= 1.96

In 2018, out of 1542 respondents, 415 said it was the most important.

p1 = x1/n1

x1= 326 n1 = 1323

p1 = 326/1323

0.246409675

Approximately = 0.246

In 2012, out of 1323 respondents, 326 said it was the most important.

p2 = x2/n2

x2 = 415, n2 = 1542

p2= 415/1942

p2 = 0.2136972194

Approximately = 0.214

Margin of Error =

1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542

1.96 × √0.0005699169 - 0.0005097276

1.96 × √(0.0000601893)

1.96 × 0.0077581763

= 0.0152060256

Approximately = 0.01521

Therefore, Margin of Error = 0.01521

You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

How to calculate margin of error for difference in proportion to find the margin of error ?

Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are  [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:

[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

where we have:

[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]

and

[tex]\alpha = \text{Level of significance}[/tex]

Using the given data to get the margin of error

[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]

For 95% confidence, we have Z score as 1.96

The proportions are calculated as:

[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]

Thus, margin of error is calculated as

[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

Learn more about margin of error here:

https://brainly.com/question/4757147

Triangle JLM is shown below.
M
17 in.
25 in.
J
8 in. K
20 in.
What is the area of triangle JLM?
O A 350 in.2
O B. 240 in.
OC. 300 in.2
O D. 210 in.2

Answers

Answer:

D) 210 in²

Step-by-step explanation:

Solve for KM.

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15 (Which is the length of KM, the height of the triangle)

Area=1/2bh

A=1/2(28)(15)

A=210

THIS ASSIGNMENT IS DUE IN 5 MINUTES...IF ITS CORRECT ILL MARK IT AS BRAINIEST, thanks in advance❤️! (this is my second time posting this, the answer isn’t 80...if you don’t know how to do this please don’t try answering the question) Find the area of the regular polygon given below

Answers

Answer:

400

Step-by-step explanation:

Answer:

11,011.055

Step-by-step explanation:

solve the equation.

log 8 + log x = 1

Answers

Answer:

[tex]x = \frac{5}{4}=1\frac{1}{4}=1.25[/tex]

Step-by-step explanation:

Hope this helps.

1 point
7. The square below represents one whole. Express the shaded area as a
percent. (PLEASE WRITE THE PERCENT SYMBOL IN YOUR ANSWER). *

Answers

I would say 50%.

Hope I helped you!Success!

Brainliest :)
(Score for Question 3: ___ of 5 points)

(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report

Answers

Goron should get 98 votes

 

The question breaks down to taking 35% of 280.  

Votes = 35/100 * 280 = people who will vote for Goron

Votes = 9800 / 100 = people who will vote for Goron.

Votes = 98

If 7x +2 = 7(x+2)
How many solutions does this equation
have?
-sixteen
-one
-infinite
-three
-five
-none

Answers

Answer:

S.tep-by-step explanation:

Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20

Answers

Answer:

8.,15,17

Step-by-step explanation:

use pythagoras theorem formula

. The scatterplot shows the time spent playing a video game and the number of points scored by several students. Video Game 1,350 1,200 1,050 900 Number of Points Scored 750 600 450 300 150 0 5 10 15 20 25 30 35 40 45 Time (minutes) Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?​

Answers

Answer:

c is the answer

Step-by-step explanation:

is the not maybe

00:00
A fruit farm has a total of 386 apple trees, peach trees, and pear trees.
There are 156 apple trees and 126 peach trees. How many pear trees are there?
Enter your answer in the box.
pear trees

Answers

Answer:

A s h i t load

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

156+126=282 & 386-282=104 so,the answer is 104

The sum of eight times a number and negative exceeds twelve.

Answers

Answer:8x + -4 > 12

8x > 16

x > 2

Step-by-step explanation:

A cyclist is riding a bicycle whose wheels have a diameter of 2.1 feet. Suppose the wheels turn at a rate of 260 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute. Do not round any intermediate computations, and round your answer to the nearest whole number.

Answers

Answer:

a.1633rad/min

b.1715feet/min

Step-by-step explanation:

We are given that

Diameter of wheel, d=2.1 feet

Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet

Rate=260 rev/min

a. We have to find the angular speed of the wheel in rad/min

1 rev=[tex]2\pi[/tex]radian

Where [tex]\pi=3.14[/tex]

Using the value

Angular speed=[tex]260\times 2\times 3.14/min[/tex]

Angular speed,[tex]\omega=1633rad/min[/tex]

(b)

Speed=[tex]r\omega[/tex]

Using the formula

Speed of  the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min

Speed of  the cyclist=1714.65[tex]\approx 1715[/tex]feet/min

i hvae this for hw can anyone help me out rq?

Answers

Answer:

0 1 and 5

Step-by-step explanation:

Not 6 because its an open dot which means that 6 is not included

I hope this helps?

5. Which of the following is a pair of alternate exterior angles?
Angles 1 and 4
Angles 2 and 8
Angles 1 and 7
Angles 4 and 7

Answers

It angles 1 and 7 good luck

Answer: angle 1 and 7

Step-by-step explanation: you just do it

One yard is 36 inches. how many inches is 2/3 of a yard?

Answers

Answer:

24

Step-by-step explanation:

232. Сколько решений имеет уравнение | х + 3 | -один?

Answers

Answer: уравнение имеет 2 решения:

              x₁ = - 4;    x₂ = - 2.

Step-by-step explanation:

Ix + 3I = 1

1) x + 3 = 1

  x + 3 - 3 = 1 - 3

  x = -2

2) - (x + 3) = 1

   x + 3 = - 1

   x + 3 - 3 = - 1 - 3

   x = - 4

if the first step of the solution of the equation 2x - 8 =5x + 3 is subtract 2x," then what should the next step be?​

Answers

the first step it to combine like terms which would be subtract 5x -2x which would be 3x

now you’re left with; -8=5x+3 now you have to subtract 3 from -8

which would be -11=5x and than you divide

hope that helps!! :)

Answer:

2x-8=5x+3

Step-by-step explanation:

The first step: Subtract 2x, -8=3x+3

 Second: Subtract (-3), -11=3x

‼️help‼️ If anyone could please help with this I would very much appreciate it, it’s due today!!!!

Answers

Answer:

So what should we figure out?

Step-by-step explanation:

If K = {(x, y) Ix-y=5), is Set K a function?
1. Νο
2. Yes

Answers

Answer:

no its not

Step-by-step explanation:

Please help ASAP I need to solve AD

Answers

Answer:

6

Step-by-step explanation:

All sides on a rhombus are equal

HELP ITS REALLY URGENT

Answers

Answer/Step-by-step explanation:

a. m<h = x°

Two angles to use in finding x are <h and 55°

Angle pair formed: linear pair angles

b. x° + 55° = 180° (linear pair)

Subtract 55° from each side

x + 55 - 55 = 180 - 55

x = 125°

c. Given: m<n = y°

Two angles to use in solving for y are: <h and <n

Angle pair formed: alternate exterior angles

d. m<n = y° (given)

m<n = x° = 125° (as solved in 2b)

Therefore:

y = x (alternate exterior angles are congruent)

thus:

y = 125° (substitution)

Can somebody help me?????

Answers

Answer:

1/2 = 3/6

Step-by-step explanation:

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

What are the truck ID’s of trucks that have carried small shipments. Small shipments are defined as those that weigh less than 800 pounds? (HInt: Avoid duplcates.)

Answers

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

What expression is equivalent to 4/5 X +11/5

Answers

Answer:

8/10 X 22/10

Step-by-step explanation:

When you multiply every number by 2, then the expression will still be equivalent.

Answer:

(4x + 11)/5

Step-by-step explanation:

4/5x + 11/5 = 4x/5 + 11/5 = (4x + 11)/5

there are 2918 male workers in a factory. There are 1264 fewer male than female workers. HOW MANY MALE AND FEMALE WORKERS ARE THERE IN THE FACTORY ALTOGETHER?

Answers

So you add 2,918+1,264=4,182

Follow this link to view Juan’s work. Critique Juan’s work by justifying correct solutions and by explaining any errors he made. For any errors made, provide and explain a correct response. Be sure to explain each key aspect of the graph.

Answers

Hey I’m sorry I don’t actually know the answer to this I’m working on it rn but if u did find out the answer to this do u mind helping me. I’m sorry and thank uu. Like if there was a sample answer to that can u reply to me with it. I’m really struggling here any help would be greatly appreciated

What is 13/20 as a part to part ratio

Answers

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

what is 6,383 in expended form?

Answers

Answer:

expanded notation form:

 6,383 =

 6,000  

+ 300  

+ 80  

+ 3  

expanded factors form:

   6,383 =

 6 × 1,000  

+ 3 × 100  

+ 8 × 10  

+ 3 × 1  

expanded exponential form:

 6,383 =

6 × 103

+ 3 × 102

+ 8 × 101

+ 3 × 100

Step-by-step explanation:

i wasn't entirely sure what you needed but i hope this helps :) have a great day !!

On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?

Answers

Answer:

......

Step-by-step explanation:

Answer

11 inches by 8.5 inches

Step-by-step explanation:

We can use proportions to solve this problem, drawing on top, real life on bottom

1/2 inch           x inches

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

1 ft                  22ft

Using cross products

1/2 * 22 = x*1

11  =x

11 inches

1/2 inch           x inches

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

1 ft                  17ft

Using cross products

1/2 * 17 = x*1

8.5 =x

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