Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as:the sum of the two up faces are recorded. Describe the random variable, X, in this event.Writethe sample space of this event. Calculatethe probability of rolling a 4, and probability of rolling a 12.

Answers

Answer 1

Answer:

1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

3. The probability of getting a 4 =   1/12

4. The probability of getting a 12 = 1/36

Step-by-step explanation:

There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .

The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]

The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

that is it has all the possible outcomes of both the dice.

The probability of getting a 4= Number of fav outcome/ no of possible outcomes=  3/ 36= 1/12

The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36


Related Questions

In a recent town election, 1,860 people voted for either candidate A or candidate B for the position of supervisor. Ifcandidate A received 550/0 of the votes, how many votes did candidate B receive? 1) 186 2) 837 3) 1,023 4) 1,805

Answers

Answer:

[tex]1860 - 550 = 1310 \\ = 1310[/tex]

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?

Answers

Answer:

I think its 2/9 but im not sure worth a try doe

The next term in the sequence 15, 12, 8, 3

Answers

-3 is the next term

Answer:

I think the answer is 17

Step-by-step explanation:\

The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.  

I hope this helps :)

Solve 7z + 4 - 5z > 8 + 12


The solution is ____

This is on Big Ideas Math if anyone has this math problem.

Answers

Answer:

z>8

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

The total value of nickels and dimes in a coin bank is $4.60. There are 10 more dimes than nickels in the bank. How many dimes are in the bank?

Answers

Your answer is 20.34
20.34 is the answer :)

Pls help me with the answer to question 3

Answers

i the pictures aren’t working
The maximum volume that Tom can fit in the box is 144 in^3. We know that the formula for the volume of the box is V=l*w*h, so when you plug in the numbers from the problem, it becomes V=6*6*4. When you multiply those numbers, you get 144. When you add your units, the answer is 144 in^3. If you need any more help or any clarification, please let me know and I will be happy to help!

Does this system have one solution, no solution, or an infinite number of
solutions? 3x+2y=7 and 27X+18y=5? PLEASE HELPP

Answers

The equation has no solution

PLEASE HELP !! DUE SOON :(

Answers

Answer:

-3

Step-by-step explanation:

Nearest unit tho will be -0 i think

Find the p and q that produce the Pythagorean triple (12, 16, and 20)

Answers

144+256=400 are the lengths is the sides and hypotenuse

Use SOH CAH TOA and the measures of the angles are 29.36 and 60.53

find the area calculate the area of the composite figure ​

Answers

Answer:

84 Sq in

Step-by-step explanation:

area of the composite figure = Area of square + Area of triangle

[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]

Please Help!!!! need it just right now

Answers

Answer:

A. y = x² + 12x - 8

Step-by-step explanation:

The u-shaped function should have:

positive leading coefficienteven degree

The only function with mentioned parameters is:

y = x² + 12x - 8

Correct option is A

The other options don't fit:

B. Even degree with negative leading coefficientC. Odd degreeD. Odd degree

Construct a binomial whose greatest common factor is 2a^3
A.9a^4+3a^2
B.8a^4+3a^2
C.8a^4+10a^3
D. 9a^4+10a^3

Answers

Answer:

C

Step-by-step explanation:

The greatest common factor of 8 and 10 is 2

The greatest common factor of a^4 and a^3 is a^3

The binomial whose greatest common factor is 2a³ is 8a⁴ + 10a³.

What is  greatest common factor?

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

Given the a³ is not common in  A and B they are wrong

C. 8a⁴ + 10a³

common factors of 8 and 10 is 2

so 8a⁴ + 10a³  has factors 2a³

Hence option C is correct.

Learn more about greatest common factor;

https://brainly.com/question/11221202

#SPJ2

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 7≤x≤8?

Answers

Answer:

-2

Step-by-step explanation:

We see on the graph:

f(7) = 2f(8) = 0

Average rate of change:

(f(8) - f(7))/(8 - 7) =(0 - 2)/1 = -2

Write two numbers that multiply to the value on top and add to the value on the bottom.

Answers

Answer:

6 and 2

Step-by-step explanation:

6 times 2 is 12 and 6 plus 2 is 8

help me this is hard

Answers

The answer is: Integer

Answer:

I guess it's whole; because it first appears there.

Find the surface area
please show work

Answers

363 inch²

Step-by-step explanation:

Each vertical face is a rectangle.

Area of each face = length x breadth

= 8 x 6 inch² = 48 inch²

There are 5 such faces, total area = 5 tiimes of 48 inch² = 240 inch²

For horizontal faces:

Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). With base 6 inch & height 4.1 inch.

For 2 such faces, you have 2 x 5 times of area of 1 ∆.

Area of 10∆s = 10 ( ½ x 4.1 x 6) = 123 inch²

Total area = area of horizontal surfaces + area of vertical surfaces

Total area = 240 + 123 inch² = 363 inch²

which is grater .856 or .8561

Answers

Answer: .8561

Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like

.8561

.8560

Answer:

I think it would be .856

Step-by-step explanation:

0.5 is greater than 0.05. There are many ways to deduce this:

The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.

Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)

Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5

Thanks for reading. Hope this helps. And maybe can i have brainliest?

If you invest $35,000 into an account that gets 9% interest compounded monthly, how much would you have
in your account after 10 years?

Answers

Answer:

$1084545551

Step-by-step explanation:

We have:

$35000 x (1 + 9%)¹²ˣ¹⁰ = $1084545551

plssss help. I have no idea how to do it its due today

Answers

Answer: X=23

<u is 75

< v is 29

<w is 76

Step-by-step explanation:

< u + < v +< w = 180

<w + 3x+35 = 180

so 3x+35= <v+ <u

3x+35=x+52+x+6

3x+35= 2x+58

x+35=58

x= 23

so each angle

U= (23+52)= 75

V= (23+6)= 29

W=180-75-29= 76

or 3(23)+35+w=180

104+w=180

w= 76

Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.


Explaining Is Required​

Answers

Answer:

[tex]\huge \colorbox{red}{(x,y)=(-1,-3)}[/tex]

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]

combine the equations:

[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]

divide both sides by -48:

[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]

substitute the value of y to the second equation

[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]

simplify multiplication:

[tex] \displaystyle \: 4x + 12 = 8[/tex]

cancel 12 from both sides:

[tex] \displaystyle \: 4x = - 4[/tex]

divide both sides by 4

[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]

therefore our solution is

[tex]\displaystyle (x,y)=(-1,-3)[/tex]

Answer:

Solution given:

-3x+7y=-18

3x-7y=18.................[1]

4x-4y=8

4(x-y)=8

x-y=[tex] \frac{8}{2} [/tex]

x-y=2..........….........[2]

multiplying equation 2 by 3 and subracting equation 1 and 2,we get

[tex]3x-7y - 3x + 3y = 18 - 6[/tex]

-4y=12

y=[tex] \frac{12}{ - 4} [/tex]=-3

substituting value of y in equation 2,we get

x-(-3)=2

x=2-3

x=-1

:.

x=-1

y=-3

Question 1 (1 point)
What value of n makes the equation
0.2(n + 4) = 4.7n - 2.8 true?
A n = 0.8
B n = 1.25
Cn=-0.48
Dn=0.96
А
B
C
D

Answers

Answer:

a     n=0.8

Step-by-step explanation:

Triangle LMN has vertices at L(0, 0), M(0,4), and N(-3,0). The triangle will be rotated 270° counterclockwise about the origin. What will
be the coordinates for point N'?
A (-3,0)
B. (0,-3)
C (0, 3)
D (3, 0)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the mirror reflection.

Since the image of triangle is reflected along Y-axis,hence the coordinates of N after 270° rotation are

N ==> ( 3,0)

===> Option D.) is correct

Answer:(3,0)

Step-by-step explanation:

D

24 is what percent of 48

Answers

Answer:

11.76

Step-by-step explanation:

j

The answer is 50% because it’s just held of 48

Help Me Now! What is the rate of change for Funtions 1 and 2.​

Answers

Function 1 Answer: 45

Function 1 Explanation: The rate of change (ROC) is basically the same thing as the slope of a graphed function. If you were to graph this table onto a coordinate plane, the slope of the line formed would be 45. (see Function 2 Explanation for more explanations, duh.)

Function 2 Answer: 40

Function 2 Explanation: Functions can be written in slope-intercept form, like this: y = mx + b. The m is the slope, or ROC (above), and the b is called the y-intercept, or where the line crosses the y-axis. The m in that equation is 40...

Hope that helps!! Sorry that took so long...

Yoon buys a box of markers for $2.85 but he has a coupon for 20% off how much does he save with the coupon

Answers

Answer:

$0.57

Step-by-step explanation:

20% of $2.85 =

= 0.2 * $2.85

= $0.57

2.85 x 0.2 = 0.57

Yoon saves 57 cents

what is the volume of this prism 10mm 8mm 12mm 3mm 2mm

Answers

Answer:

5760 mm

Step-by-step explanation:

just multiply lol

Can you please help !? its due at 1:00 pm. (i will mark you brainlest) can you show work if you can?

Answers

Answer:

10) 9*9*9*9 = 6561

11) 2*2*2 = 8

12) 3*3*3*3*3 = 243

13) 4*4*4 = 64

14) 6*6*6*6*6 = 7776

15) 5*5*5*5 = 625

16) 8.5*8.5*8.5 = 614.125

17) 1.3*1.3 = 1.69

18) 7*7*7*7 = 2401

Used a calculator

1. The height in feet of a thrown football is modeled by the function h(t) = -16t2 + 60t +6, where t is time
in seconds.
What does the value of h(3) represent in this context?
A. The increase in the football's height after 3 seconds.
B. The decrease in the football's height after 3 seconds.
C. The football's height after 3 seconds.
D. The time it takes for the football's height to reach 3 feet.

Answers

Answer:

C) football's height after 3 seconds

Step-by-step explanation:

expand: 0.25(xy+4z+5)

Answers

Answer:

0.25xy+z+1.25=0

Step-by-step explanation:

0.25 xy + z +1.25 = 0

Can you please help me find the volume of this shape ?

Answers

Answer:

The answer is 1710

Step-by-step explanation:

To find the volume of a shape, multiply the length by width by height.

V = LxWxH

Answer:

810in^3

Step-by-step explanation:

(6*19)/2 = 54

54*15 = 810

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