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

Two angles are complementary. One angle is 18 degrees more than the other. What are the measures of the two angles?​

Answers

Answer:

Step-by-step explanation:

x+y = 90°

x = y+18°

(y+18°) + y = 90°

2y = 72°

y = 36°

x = y+18° = 54°

39/8 as a decimal... I've forgotten how to turn fractions into decimals ​

Answers

Answer:

4.222222 or jus 4.2 with - over the 2 to indicate multiple 2's

Answer:

4.875

Step-by-step explanation:

Pretty simple, just divide the numerator by the denominator.

16. What are the missing sides?
TE
4 cm
3 cm
?
?
5 cm
10 cm

Answers

Missing sides are 3&5
Total answer is 8

How do I know that these are not a function?
0,-1
2,3
0,4
2,5
0,6
2,7

Answers

Answer:

there are multiple 0's in the same area, and multiple 2's.

Step-by-step explanation:

Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?

Answers

Answer:

208 meters

Step-by-step explanation:

Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?

tan θ = Opposite/Adjacent

θ = Angle of depression

Adjacent = Horizontal distance = 130 meters

Opposite = Vertical distance = x

θ = 58°

tan 58 = x/130 meters

Cross Multiply

x = tan 58 × 130 meters

x = 208.04348878 meters

Approximately = 208 meters

Therefore, the vertical distance it travelled is 208 meters

Pls help and thank you

Answers

Answer:

No Solution

Step-by-step explanation:

5(2x-3)

10x-15=10x-15

-10x       -10x

15=15

-15  -15

0=0

Help Me, Now! B. What is the value of each funtion at x = 1?​

Answers

Answer:

Step-by-step explanation:

Which number is in the solution set of this equation? 7x − 9 = 40

Answers

Answer: the answer is 7

Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40

7(7)=49 next 49-9= 40

it checks out, so x= 7

i need help ASAP please

Answers

Answer:

umm so i belive you will mulltiply all of thoes together

Step-by-step explanation:

chicken nuggies are good :0

Answer:

number 3

Step-by-step explanation:

p represents amount of tickets sold at the pre-sale and d represents the amount of tickets sold at the door. If you add p + d, that equals the total amount of tickets sold which is 345 tickets.

So:

p + d = 345

Pre-sale tickets (p) cost $7 while tickets at the door (d) cost $10, and the total amount of money mad is $2550.

So:

7p + 10d = 2550

Answer should be the equations in number 3.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

[tex]y = -\frac{2}{5} x-6[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]  

So, the slope of the line is [tex]-\frac{2}{5}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]

PLS HELP 10 POINTS
QUESTION IN PIC

Answers

Answer:

Some integers are irrational

Step-by-step explanation:

An integer must be a whole number so it will always be rational.

What is 4 1/2 + -17 1/4 it doesn’t have to be simplify xo

Answers

Answer:

-14 3/4

Step-by-step explanation:

i am not super sure about this. the fraction is right though. i hope

A baseball player gets a hit 20% of the times he is at bat. Out of the next 15 times at bat, how many hits can you expect the player to get?

Answers

Answer:

...

Step-by-step explanation:

The batsman will hit =20% of 15

= 15/5

= 3

Answer:

3

Step-by-step explanation:

15 x 0.20

Use the course calculator to solve this problem:

8 + 17 × 26

Answers

Answer:

450

Step-by-step explanation:

8+17=25

25x26=450

Answer: 500

Step-by-step explanation:

You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.

6+6= (mod 4)
Determine what number the sun is congruent to in mod 4

Answers

Answer:

c gsudhdbxjxjsjsbhxidhsv susb

Determine if two triangles are congruent. If they are, state how you know.

A: SSS
B: SAS
C: HL
D: AAS

help me ASAP please!

Answers

Answer:

They are congruent. SSS

Step-by-step explanation:

All the sides are the same, clearly stated by the signs on the borders.

what multiple of 9 is a factor of 9

Answers

Answer:

9

Step-by-step explanation:

Answer:

( 1 ), ( 3 ), ( 9 )

Step-by-step explanation:

Every time you add one to a digit (which is the same as adding 10, 100, 1000, etc) you get a number that is one more than a multiple of 9, so you have to subtract one from the number, which brings the sum of the digits back to 9.

On a map 3 cm represents 21 km. What is the
length of a road in cm if the actual length of the
road is 105 km?

Answers

Answer:

`5 centemeters.

Step-by-step explanation:

Just divide the KM by 7 since 21 divided by 3 is 7. So dividing 105 by 7 gives you 15. HOPE THIS HELPS! :)

Write each expression in scientific notation. Put your answer for EACH part in the text box. You should have 5 answers for this question.
A) 0.04

B) 0.072

C) 0.0000325

D) 0.003

E) 0.23





please help me

Answers

Answer:

A) 4 × 10^-2

B) 7.2 × 10^-2

C) 3.25 × 10^-5

D) 3 × 10^-3

E) 2.3 × 10^-1

Step-by-step explanation:

Can someone help me please

Answers

Answer:

Domain: -3,-2,0,2

Range: 2,-2,-3,-1,1

Step-by-step explanation:

Domain is the x values and the Range is the y values

If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.

Answers

Answer:

255

Step-by-step explanation:

(15x2 - 16x - 15) = 270

(3- 5) = -15

270

-  -15

= 255

Plz solve!!!!! I will give 25 points and brainliest!! and plz, no tiny links
1 3/7*2/5

Answers

Answer:

10/7*2/5= 20/35=4/7

Answer:

4/7

Step-by-step explanation:

In your own words, explain the steps you would need to take to find a slope from data in a table.

Answers

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

Answer:

To Find the slope of a data table, you first need to plot two points on the line. It is easiest if the points are on a coordinate with whole numbers (i.e. (3,6 and (4,8)). Once you have plotted two pints, you then need to take the value of the point with the largest x value, and subtract the other points from it (i.e. (4,8)-(3,6)=(1,2). Then, take the new y value, and divide it by the new y-value (i.e. (2/1), and you have your slope.

Step-by-step explanation:

plot points (3,6), (4,8)

subtract points (4,8)-(3,6)=(1,2)

divide new points 2/1

m=2/1, or 2

The circle graph shows the contents of one brand of peanut butter.
How much protein is in 838 g of peanut butter?

Answers

Answer:

209.5 g

Step-by-step explanation:

The chart shows that 25% of the peanut butter is protein.

25% of 838 g =

= 0.25 * 838 g

= 209.5 g

Answer: 209.5 g

consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169

Answers

Answer:

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}\\ \\ sin\theta=\frac{119}{169}\ (answer\ C)[/tex]

Select the two values of x that are roots of this equation.
2x-5=-3x2

Answers

Answer:

Step-by-step explanation:

A rectangle has a perimeter of 18. The height of the rectangle is 4 cm. What is the area of the rectangle?

Answers

Answer:

20

Step-by-step explanation:

Perimeter of rectangle= 2l+2h so 2l+2(4)=18. SO 2l=10. l=5

Area=bh

(5)(4)=20cm

20 cm, I think
The perimeter is 18 and the height is 4 cm.

4 cm x 2 = 8
We are multiplying it by two because there are two side in a rectangle that are the same height

18 - 8 = 10
We are finding the length of the rectangle
10\2 = 5
The length of the rectangle is 5

5 x 4 = 20
That is the area

Use the relationship between quantities to calculate the
missing values in the table.
A =
B = please help me

Answers

1 - 250
2 - 500
3 - 750
4 - 1000
5 - 1250

Every answer is +250

A = 750
B = 1250

Answer:

A=750

B=1250

Step-by-step explanation: I got it right on edge.

What does 2x-9=7x-44

Answers

that would be x=7 , because we subtract 2x in both sides after that we simplify, add 44 in both sides, simplify once again & divide by 5 simplify & we get 7

Answer:

Isolate the variable by dividing each side by factors that doesn't contain the variable.

Exact form: x = 154/9

Decimal form: x = 17.1

Mixed number form: x = 17 1/9

Step-by-step explanation:

hope that helps...

have a good day

Which graph represents the solution set of - 4x - y <- 6?

Answers

Answer: it’s D

Step-by-step explanation:

The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.

What is Linear Inequality?

Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

In the given question, we have given the graph of the inequality  4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.

So, the Inequality is:

- 4x - y <- 6.

So, we can substitute the value of x and y;

So, substitute x = 1;
So, The y value will be less than 2;

That is:

y < 2;

Again let's put the value of x = -1;

we get the value of y  as less than 10.

y<10;

So, by substituting the values as mentioned we can see that the value of y is decreasing.

So, by plotting the values in the graph, we can get the correct graph.

Hence, The correct answer is option d.

To learn more about Linear Inequality, visit:

https://brainly.com/question/24372553

#SPJ13

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