If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?

Answers

Answer 1

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]

[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]

Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]

[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]

Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]

[tex]P({sum\geq 13})=0[/tex]

Therefore, the probability of getting a sum of 13 or more is 0.


Related Questions

Which inequality matches the graph shown?

Answers

Answer:

I am pretty sure it is x>8 which is B.

Step-by-step explanation:

I’m one hundred percent positive it’s B because if it’s open the aren’t less then or equivalent to or greater than or equivalent to

are the terms 2x^3 and 2yx^2 like terms

Answers

No. If you organize them into: 2x^3 and 2xy^2, you see they look like they have the same base but they don’t have the same exponents nor the variables.
No it is not because it has an extra letter. That makes them not like terms 2x and 4x would be like terms. But when you add the next letter, it makes them unalike.

A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?

Answers

the average speed is about 40

0.05 is 1/10 value of what number

Answers

Answer:

1/2=x

0.5

Step-by-step explanation:

x will be the number

5/100=(1/10)x

5/10=x

1/2=x

1/2=0.5

A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?

Answers

Answer:

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

Step-by-step explanation:

According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:

[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)

Where:

[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.

[tex]f[/tex] - Kinetic friction force, mesured in newtons.

From (Eq. 1), we get that horizontal force is:

[tex]P = f[/tex]

On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:

[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)

Where:

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.

[tex]W[/tex] - Weight of the bag, measured in newtons.

Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):

[tex]P = \mu_{k}\cdot W[/tex]

If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:

[tex]P =0.2\cdot (80\,N)[/tex]

[tex]P = 16\,N[/tex]

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

expand (2a +36) (2a-3b​

Answers

Use the binomial expansion theorem to find each term. The binomial theorem states
(
a
+
b
)
n
=
n

k
=
0

n
C
k

(
a
n

k
b
k
)
(
a
+
b
)
n
=

k
=
0
n

n
C
k

(
a
n
-
k
b
k
)
.
3

k
=
0

3
!
(
3

k
)
!
k
!

(
2
a
)
3

k

(

3
b
)
k

k
=
0
3

3
!
(
3
-
k
)
!
k
!

(
2
a
)
3
-
k

(
-
3
b
)
k
Expand the summation.
3
!
(
3

0
)
!
0
!

(
2
a
)
3

0

(

3
b
)
0
+
3
!
(
3

1
)
!
1
!

(
2
a
)
3

1

(

3
b
)
+
3
!
(
3

2
)
!
2
!

(
2
a
)
3

2

(

3
b
)
2
+
3
!
(
3

3
)
!
3
!

(
2
a
)
3

3

(

3
b
)
3
3
!
(
3
-
0
)
!
0
!

(
2
a
)
3
-
0

(
-
3
b
)
0
+
3
!
(
3
-
1
)
!
1
!

(
2
a
)
3
-
1

(
-
3
b
)
+
3
!
(
3
-
2
)
!
2
!

(
2
a
)
3
-
2

(
-
3
b
)
2
+
3
!
(
3
-
3
)
!
3
!

(
2
a
)
3
-
3

(
-
3
b
)
3
Simplify the exponents for each term of the expansion.
1

(
2
a
)
3

(

3
b
)
0
+
3

(
2
a
)
2

(

3
b
)
+
3

(
2
a
)

(

3
b
)
2
+
1

(
2
a
)
0

(

3
b
)
3
1

(
2
a
)
3

(
-
3
b
)
0
+
3

(
2
a
)
2

(
-
3
b
)
+
3

(
2
a
)

(
-
3
b
)
2
+
1

(
2
a
)
0

(
-
3
b
)
3
Simplify each term.
Tap for more steps...
8
a
3

36
a
2
b
+
54
a
b
2

27
b
3
8
a
3
-
36
a
2
b
+
54
a
b
2
-
27
b
3

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answers

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

What is the slope line through (0,4) and (3,2)?

Answers

Answer:

The answer is -2/Trust

Step-by-step explanation:

Answer:

Its D 100%

Step-by-step explanation:

Solve proportion 2/4.5=t/0.5

Answers

0.2 or 2/9 in fraction form I believe.

Given m 1= 65, find the measure of each missing angle.Givd your reasoning

Answers

Answer:

Step-by-step explanation:

Given:

m∠1 = 65°

Since. ∠1 and ∠2 are the angles of linear pair,

m∠1 + m∠2 = 180°

65° + m∠2 = 180°

m∠2 = 115°

m∠1 = m∠3 [Vertical angles]

m∠3 = 115°

Since, ∠1 and ∠4 is the linear pair of angles,

m∠1 + m∠4 = 180°

65° + m∠4 = 180°

m∠4 = 180 - 65 = 115°

m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]

115° + m∠5 = 180°

m∠5 = 180° - 115° = 65°

m∠5 + m∠6 = 180° [Linear pair of angles]

65° + m∠6 = 180°

m∠6 = 115°

m∠5 = m∠7 [Vertical angles]

m∠5 = m∠7 = 65°

m∠6 = m∠8 [Vertical angles]

m∠6 = m∠8 = 115°

A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10
each, Find the percent markup.

Answers

It would be 160% I think

Could someone show me how to do this?

Answers

Step-by-step explanation:

b - no:of students on bus

V - " " on van

so the eqtn is

12v+10b=698

14v+2b=244

so when you solve these two eqtns you get

V=9

b=59

1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *

Answers

Answer:

$105.22

Step-by-step explanation:

Directions: Solve the problem Label your final answers. Show all work.

Tickets to the Haunted House are $6.50 for adults and $4.30 for children.

How much would it cost for two adults and four children?


How much change would you get if you pay for the tickets with a $50 bill?

Answers

Answer:

The total cost for two adults and four children is $30.2

The change that you would get if you pay for the tickets with a $50 bill is $19.2

Step-by-step explanation:

$6.5 * 2 adults = $13

$4.3 * 4 children = $17.2

$13 + $17.2 = $30.2

$50 - $30.2 = $19.8

Hope this helps and pls do mark me brainliest if you can:)

XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.

Answers

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Simplifying Expressions ,

Answers

17? Let me know if it’s right

How do I solve |x-1|-1.4 = 6.2

Answers

Answer:

x1= -6.6   x2= 8.6

Step-by-step explanation:

Answer:

x1= -6.6, x2= 8.6

Step-by-step explanation:

|x-1|-1.4=6.2

|x-1|=6.2+1.4

|x-1|= 7.6

x-1=7.6 or x-1= -7.6

x= 8.6 and x= -6.6

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 30

2. 0.83333333

3. 1.2

4. 30

Step-by-step explanation:

H is the only reasinable decimal

-4( -3 )+ (6-2)/64 = ?

Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.

?
Save
nswer
estions
Not Graded
ws
SpiR
creen
50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (-4,-3).
Split
creen
250 character(s) left
AO
Save
Unit
burces
Not Graded
42
nter
endly
Type here to search
O
I

Answers

Answer:

x+2y=-8

Step-by-step explanation:

Slope of given line = 2

Slope of the perpendicular line = -1/2

Equation of perpendicular line is (y-y1)=m(x-x1)

y-(-3)=-1/2(x-(-4))

y+3=-1/2(x+4)

2y+6=-x-2

x+2y=-8

Evaluate
p
+
(

q
)

2
p

Answers

Can you put it more bettet in the comments!

that doesn't give the answer

Answers

Answer:

what doesnt give the answer??

Step-by-step explanation:

plz plz plz help me quick i got 10 mins

Answers

Answer:

y=x+6

Step-by-step explanation:

True or False: Every number has a limited amount of factors, but an unlimited amount of multiples. ​

Answers

Answer:

False

Step-by-step explanation:

0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.

Find the equation of the line.

Y=__x + __

Answers

to find the slope (m), count how many units vertically and horizontally it takes to get from any one point to the other (rise/run)

i’ll use (0,-6) and (-4,-5)
it takes 1 vertical unit and 4 horizontal units to the left to get there, so the slope is 1/-4

to find the y intercept (b), it’s simply the point where the line intercepts the y axis (vertical line). in this case it’s at (0,-6). the y intercept would then be -6

now just plug those into the slope intercept form: y = mx + b

the equation of the line is y = 1/-4x - 6
Answer: y= -1/4x - 6

Multiply. Enter the product in simplest form.
2/7 x 4/5

Answers

The answer is 8/35 ;)


Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6

Answers

Answer:

x = 6

Step-by-step explanation:

4 − 2(2x − 7) = −6.

Distribute

4 -4x +14 = -6

Combine like terms

18-4x = -6

Subtract 18 from each side

18 -4x-18 = -6-18

-4x = -24

Divide each side by -4

-4x/-4 = -24/-4

x = 6

Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.

Answers

Answer: Well I believe the answer is Y= x - 55

Step-by-step explanation:Hope that works :)

what's 4 divided by 5 as a fraction ​

Answers

Answer:

four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths

Solve for x and y, please help!

Answers

Answer:

x = 37, y = 9

Step-by-step explanation:

3x + 11 and x + 21 are same- side interior angles and are supplementary, thus

3x + 11 + x + 21 = 189 , that is

4x + 32 = 180 ( subtract 32 from both sides )

4x = 148 ( divide both sides by 4 )

x = 37

--------------------------------

3x + 11 = 3(37) + 11 = 111 + 11 = 122

14y - 4 and 3x + 11 are vertical angles and congruent, thus

14y - 4 = 122 ( add 4 to both sides )

14y = 126 ( divide both sides by 14 )

y = 9

Other Questions
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold? What were the advances in technology that paved the way for European voyages ofexploration? If you are going to create a program for your community what would it be? what are the benefits can the community get from it? (5pts) need other ans :))) why would conducting trade by both Caravans and ships be lucrative the Islamic world? HighlandsThe dot plots show rainfall totals for several springstorms in highland areas and lowland areas.What is the range of rainfall for the highland storms?4 0 8 10 12 14 16 18 20 22 24 26 28 30 32LowlandsWhat is the range of rainfall for the lowland storms?2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 What happened to John Smith on his way to Jamestown? One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same. yall play copter royale ? Which grouping has the least complex body plan? True or False: The theme of region can be as small as a neighborhood and 3 pointsas big as a continent and hemisphere. *TrueFalsePlease hurry! The highest mountain in Africa isA)Mt. Kenya.B)Mt. Atlas.C)Mt. Everest.D)Mt. Kilimanjaro. Which of the following substances would have the greatest ductility?A. Fe(s)B. SiO2(s)C. C(s)D. NaCl(s) NEED HELP PLEASE BEGGING PLEASE!!!! fill in the blanks with the words in parenthesis. (Most, All) _________________citizens have the opportunity to participate in their government on a first-hand basis in a direct democracy. Jayla bought 20 candies for 10 dollars. What is the unit price dollars per candy? please help ! i would mark brainliest to the first answer. Find y into the nearest hundredth place In reality, energy conversion from burning fuel is never 100% efficient. Significant loss of energy due to heating occurs. If the generator were only 20% efficient (which is more realistic), how much energy in joules would be converted to electrical energy and how much would be lost to heat? (2 points) REALLY EASY QUESTION!!which of these would be considered an issue of law?a. being excessively tardyb. helping a child cross the streetc. lying to a friendd. stealing from a store ) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80