you roll two fair dice, a green one and a red one.
(a) are the outcomes on the dice independent?

(b) find p(1 on green die and 2 on red die)

(c) find p(2 on green die and 1 on red die)

(d) find p[(1 on green die and 2 on red die) or (2 on green die and 1 on red die)]

Answers

Answer 1

Answer:

(a) yes

(b) 1/36

(c) 1/36

(d) 1/18

Step-by-step explanation:

(a) yes they are independent as the outcome of one does not affect the outcome of the other.

(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(1 on green die) = 1/6

P(2 on red die) = 1/6

Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36

(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(2 on green die) = 1/6

P(1 on red die) = 1/6

Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36

(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)

= 1/36 + 1/36

= 2/36

= 1/18


Related Questions

Erica has a rectangular living room that is 9.78 meters long from front to back and 11.85 meters long from side to side. Draw a sketch of Erica's living room, labeling the lengths, and estimate how many square meters of carpet Erica would need to cover her living room floor. ​

Answers

Answer:

-> See attached

115.893 meters²

Step-by-step explanation:

   See attached for my sketch.

    Area for a rectangle is A = L * W:

9.78 meters * 11.85 meters = 115.893 meters²

5b-4a+6, when a= 7 and b= 6

Answers

Answer:

Use Substitution Method -

5(6)-4(7)+6=30-28+6

=2+6

=8

The equation w = 20n models the total weight of honey, w, in
pounds that a beekeeper expects to collect from n hives.
a. Graph the relationship modeled by the equation. Include a
title on each axis.
b. How does the graph show the expected rate of pounds of
honey per hive? How is this rate related to the equation?

Answers

The graph of the weight function w = 20n is an illustration of linear equations

The expected weight of honey per hive is 20 pounds

The graph of the model

The equation of the model is given as:

w = 20n

To plot the graph, we use the following representations

n is plotted on the horizontal axisw is plotted on the vertical axis

See attachment for the graph of w = 20n

Interpret the graph

The graph shows that:

As the number of hives increases, the weight of honey increasesThe expected weight of honey per hive is 20 pounds

Read more about linear equations at:

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Find the missing angles for every point here

Answers

In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.

46° + 82° + No. 4 = 180°

No. 4 = 180° - 128° = 52°

Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)

What is angle?

In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.

So, we can see that:

Line a || Line b and Line c || Line d

46° = 7 (corresponding angles)

So, 46° + 82° + No. 4 = 180°

Thus, No. 4 = 180° - 128° = 52°

Therefore:

No. 4 = No. 1 = 52° (vertically opposite angles)

No. 2 = 180° - 52° = 128° (angles on a straight line)

No. 2 = No. 3 = 128° (vertically opposite angles)

No. 7 = No. 6 = 46° (vertically opposite angles)

No. 8 = 180° - 46° = 134° (angles on a straight line)

No. 8 = No. 5 = 134° (vertically opposite angles).

82° = No. 11 (vertically opposite angles)

No. 9 = 180° - 82° = 98° (angles on a straight line)

No. 9 = No. 10 = 98° (vertically opposite angles)

No. 9 = No. 15 = 98° (alternate angles)

No. 13 = No. 15 = 98° (vertically opposite angles)

No. 12 = No. 14 = 82° (vertically opposite angles)

46°= No. 17 (vertically opposite angles)

No. 18 = 180° - 46° = 134° (angles at a point)

No. 18 = No. 16 = 134° (vertically opposite angles)

No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)

No. 19 = No. 22 = 52° (vertically opposite angles)

No. 20 = 180° - 52° = 128° (angles on a straight line).

No. 20 = No. 21 = 128° (vertically opposite angles)

No. 25 = No. 2 = 128° (corresponding angles)

No. 25 = No. 24 = 128° (vertically opposite angles)

No. 23 = No. 26° (vertically opposite angles).

So, all the angles are:

1= 52°

2= 128°

3= 128°

4= 52°

5= 134°

6= 46°

7= 46°

8=134°

9= 98°

10= 98°

11= 82°

12= 82°

13= 98°

14= 82°

15= 98°

16= 134°

17= 46°

18= 134°

19= 52°

20= 128°

21= 128°

22= 52°

23= 52°

24= 128°

25= 128°

26= 52°

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List the following fractions from least to greatest 1/6 2/3 1/2 1/3

Answers

Answer:

1/6 < 1/3 < 1/2 < 2/3

Step-by-step explanation:

We can turn the following to decimal;

1/6 = 0.16666666666        

2/3 = 0.66666666666

1/2 = 0.5

1/3 = 0.33333333333

0.16666666666   < 0.33333333333 < 0.5 < 0.66666666666

Thus, from least to greatest is 1/6 < 1/3 < 1/2 < 2/3

~Learn with Lenvy~

how to set up definite integral

Answers

Answer:

Step-by-step explanation:

First, determine where the quantity inside the absolute value bars is negative and where it is positive for example, So that's 6 times 8 minus 6 times negative 1. Okay and so this will be 48. Minus negative 6 which is 48 plus 6 which is 54 which is the answer.

What is the Area of this shape?

Answers

Answer:

448 ft ^2

Step-by-step explanation:

[tex]A = \frac{b_{1} + b_{2}}{2} * h\\A = \frac{17 + 39}{2} * 16\\A = \frac{56}{2} * 16\\\\A = 28 * 16\\\\A = 448 ft^{2}[/tex]

Hope this helps,

If best, mark brainliest, if not, hope it helps anyway.

A manufacturer created the table below as part of a program aimed to reduce manufacturing costs. The table compares the cost y to the number of hats sold, x. which of the following statements below are supported by the data? select all that apply.

1. The slope is positive.

2. the slope is negative.

3. every additional hat produced results in a cost increase of $.60

4. every additional hat produced results in a cost increase of $6.00

5. before producing any hats, the manufacturing costs are $100.00

6. the cost of producing 75 hats is approximately $136.00

Answers

Using linear function concepts, it is found that the correct statements are given by:

1. The slope is positive.

3. every additional hat produced results in a cost increase of $.60.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

When the amount increases by 10, the cost increases by $6, hence the slope is of m = 6/10 = 0.6.The y-intercept is the amount of producing 0 hats, which is of b = 105 - 6 = 99.

Hence statements 1 and 3 are correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:

A. The slope is positive.

C. every additional hat produced results in a cost increase of $.60.Step-by-step explanation:

E. Before producing any hats, the manufacturing costs are about $100.00.

wait hihfedhsdkfsffsdf

Answers

Pain au chocolat dur main

It takes 7 hours and 12 minutes to fly
from Singapore to Tokyo, Japan. You have
to arrive at the airport 45 minutes before
departure. It is a 17 minute taxi ride from
your hotel. By what time would you need
to leave the hotel if the flight lands
at 3:23 p.m.?

Answers

The time I would need to leave the hotel if the flight lands at 3:23 p.m is 7 : 09 am

What time should I leave the hotel?

The first step is to add the total hours of the flight to the time of the tax ride and the time you need to get to the airport.

7h + 12 min + 45 + 17 = 8 hours 14 minutes

Now subtact  8 hours 14 minutes  form 3: 23

(12 + 3:23) -  8 hours 14 minutes =7 : 09 am

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The area of Sharon's garden is 40
sq ft. List all the possible lengths
and widths of Sharon's garden.

Answers

Answer:

1 and 40

2 and 20

4 and 10

5 and 8

Step-by-step explanation:

need to know the factors of 40

factors of are 1, 2, 4, 5, 8, 10, 20 and 40

possible lengths and widths would be

1 and 40

2 and 20

4 and 10

5 and 8

write a quadratic function f whose only zero is 11

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here's the solution ~

To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !

Since our only root is 11 here, we have to do t double

[tex]\qquad \sf  \dashrightarrow \:(x - 11)(x - 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 11x - 11x + 121 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} - 22x + 121[/tex]

That's our required function ~ I hope you understood the whole thing !

Translate this phrase into an algebraic expression. 73 less than twice Jose's height Use the variable to represent Jose's height.​

Answers

Answer:

x-73

Step-by-step explanation:

Let x=Jose's height.  If it says "less than," then that is subtraction.  Since Jose's height is not defined, there is no specific number that can be used to describe "73 less than twice Jose's height," so I use the variable x, and then subtract 73.

Click on the numbers that fit the description.
(Choose 4)

Answers

Answer:

6231

Step-by-step explanation:

Answer:

6,2,30,8 is the common factor of 18 and 30

math again. marking as brainliest

Answers

Answer:

d po

Step-by-step explanation:

sna maka tulong hheeheh

give an equation for the graph

Answers

x = -4
y = 1

that’s my closest guess

Answer:

y = -4

x = 1

Step-by-step explanation:

soo you could memorize if you want that if its a vertical line it will be x = __

or if its a horizontal line is y = ___

but i like doing ummm so when you look at the first line nothing changes to y, so y wil be always -4 . its the same for the vertical line, the x stays the same.

is -2^3b^3 + 15c^3/8 z^3 a monomial, binomial, trinomial, or other polynomial.

Answers

It is trinomial because all have power 3

Answer: binomial

Step-by-step explanation: it has 2 terms

simplificar la radicacion 18

Answers

Answer:

441

Step-by-step explanation:

Find the value of X. Round your answer to the nearest tenth please

Answers

The value of x from the figure is 17.82 units

SOH CAH TOA identity

1) From the first figure.

Opposite side = x

Adjacent = 12

Using the SOH CAH TOA identity

tan53 = opp/adj

tan53 = x/12

x = 12tan53

x = 15.92 units

2) Using the SOH CAH TOA identity

cos27 = adj/hyp

cos27 = x/20

x = 20cos27

x =  17.82units

Hence the value of x from the figure is 17.82 units

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A second-degree polynomial is a quadratic polynomial. O A. True O B. False​

Answers

Answer:

True

Step-by-step explanation:

In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree

Answer:

Step-by-step explanation:

the answer isis truetrue

what is the percentage of this

Answers

Answer:

69%

Step-by-step explanation:

10×10 table, 69 cells are orange. Therefore the fraction 69/100 as a percentage is 69%.

A survey of 2,00 registered voters is used to predict by how many percentage points a candidate is leading. Of the 2,00 people, 1,240 planned to vote for Candidate A. By how many percentage points is Candidate A leading.

This might help cross divide and multiply.

Answers

is this supposed to be 2,000 voters? if so, you can assume that
candidate a: 1,240 voters
1,240/2,000=62%
candidate b: 2,000-1,240= 760 voters
760/2,000=38%

62%-38%= 24%

candidate A is leading by 24%

Find the unit price. 14 ounces of canned corn for $1.96​

Answers

The unit price of canned corn is $0.14

14 ounces = $1.96

1 ounce = 1.96 / 14

= 0.14

A rectangle has a length of 32 yards less than 10 times its width. If the area of the rectangle is 384 square yards, find the length of the rectangle.

Answers

Length = 34
Explanation:

The length of the rectangle is 48 yards.

Let's denote the width of the rectangle as "w" yards.

According to the information given, the length of the rectangle is 32 yards less than 10 times its width. So, the length can be represented as: 10w - 32 yards.

The formula for the area of a rectangle is length times width: Area = length × width.

Given that the area of the rectangle is 384 square yards, we can set up an equation:

Area = length × width

384 = (10w - 32) × w

Now, let's solve for the width (w):

384 = 10w² - 32w

0 = 10w² - 32w - 384

Dividing the equation by 2 to simplify:

0 = 5w² - 16w - 192

Now we have a quadratic equation. We can either factor it or use the quadratic formula to solve for "w." Let's use the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

For our equation, a = 5, b = -16, and c = -192. Plugging these values into the formula:

w = (16 ± √((-16)² - 4 × 5 × (-192))) / (2 × 5)

w = (16 ± √(256 + 3840)) / 10

w = (16 ± √4096) / 10

w = (16 ± 64) / 10

This gives us two possible solutions for the width:

w = (16 + 64) / 10 = 8 yards

w = (16 - 64) / 10 = -4.8 yards

Since width can't be negative, we'll ignore the second solution.

So, the width of the rectangle is 8 yards. Now, let's find the length using the earlier expression:

Length = 10w - 32

Length = 10 × 8 - 32

Length = 80 - 32

Length = 48 yards

Therefore, the length of the rectangle is 48 yards.

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#SPJ3

Our school’s girls volleyball team has 14 players, including a set of
3 triplets: Alicia, Amanda, and Anna. In how many ways can we
choose 6 starters if at most one of the triplets is in the starting lineup? There can't be 2 or more triplets and there can be none.

Answers

Answer:

[tex]1,\!848[/tex].

Step-by-step explanation:

There are two disjoint sets of ways to choose a lineup as required:

Include none of Alicia, Amanda, or Anna, orInclude exactly one of Alicia, Amanda, and Anna.

Assume that none of Alicia, Amanda, or Anna is to be selected. This lineup of [tex]6[/tex] would then need to be selected from a set of [tex]14 - 3 = 11[/tex] players (which excludes Alicia, Amanda, and Anna.)

The number of ways of selecting (without order) [tex]6[/tex] items out of a set of [tex]11[/tex] (distinct) items is equal to the combination:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 6\end{pmatrix} &= \frac{11!}{(6!)\, (11 - 6)!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Assume that Alicia is selected, but neither Amanda nor Anna is selected. The other [tex]6 - 1 = 5[/tex] players in this lineup would then need to be selected from a set of [tex]14 - 1 - 2 = 11[/tex] players. (This set of [tex]11[/tex] excludes Alicia, Amanda, and Anna.)

The number of ways to select [tex]5[/tex] items from a set of [tex]11[/tex] items is:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 5\end{pmatrix} &= \frac{11!}{(5!)\, (11 - 5)!} \\ &= \frac{11!}{5! \times 6!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Similarly, there would be another set of [tex](11!) / (6! \times 5!)[/tex] distinct ways to select the lineup if Amanda is selected, but neither Alicia nor Anna is.

Likewise, the number of ways to select the lineup with Anna but neither Amanda nor Alicia would also be [tex](11!) / (6! \times 5!)[/tex].

These sets of configurations for the lineup are pairwise disjoint from one another. Thus, the total number of ways to select this lineup would be:

[tex]\begin{aligned}& \begin{pmatrix}11 \\ 6 \end{pmatrix} + 3 \times \begin{pmatrix}11 \\ 5 \end{pmatrix} \\ =\; & \frac{11!}{6! \times 5!} + 3 \times \frac{11!}{6! \times 5!} \\ =\; & \frac{4 \times 11!}{6! \times 5!} \\ =\; & \frac{4 \times 11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2} \\ =\; & \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 3 \times 2} \\ =\; & 1,\!848\end{aligned}[/tex].

Cassie wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled floor is 4
5
6
ft by 2
1
3
ft. Find the area the carpet needs to cover.

Answers

Answer:

1456

Step-by-step explanation:

56x2x13

56x26

1456

A farmer sells 7.7 kilograms of apples and pears at the farmer's market.
1
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

She sold 5.775 kilograms of pears at the farmer's market.

Step-by-step explanation:

Let's first determine the information that the question gives us, and what we need to find.

Given:

The farmer sold 7.7 kilograms of apples and pears

1/4 of the weight is apples

The rest of the weight is pears

Find:

Kilograms of pears that the farmer sold

Start by finding the fraction of the whole weight that was pears...

[tex]1-\frac{1}{4}=\frac{4}{4}-\frac{1}{4}=\frac{3}{4}[/tex]

Now, find 3/4 of 7.7...

[tex]\frac{3}{4}(7.7)=\frac{23.1}{4}=5.775\ kg[/tex]

She sold 5.775 kilograms of pears at the farmer's market.

An angle that measures exactly 180° is known as a/an _____ angle​

Answers

Answer:

An angle that measures exactly 180° is known as a straight angle​

Step-by-step explanation:

A straight angle is basically just a line. It is equal to two right angles (which are 90 degrees) and it is also half of a circle.

I hope this was helpful! If you need any more information on straight angles or any other angles, let me know! Have a lovely day! :)

Find the area. Do you multiply all sides?

Answers

Answer:

The area of the Trapezoid is :

h(a+b)/2

3(2+6.2)/2

3(8.2)/2

24.6/2

12.3 m²

Answer:

Step-by-step explanation:

I think you are to assume that this is a trapezoid and that the top right angle symbol is missing.

Area = (b1 + b2 ) *  h /2

Givens

b1 = 2

b2 = 6.2

h = 3

Solution

Area = (2 + 6.2)* 3 / 2           Combine what is inside the brackets

Area = 8.2 * 3 / 2                  Divide by 2

Area = 4.1 * 3                         Combine

Answer: Area = 12.3

How many times does 8 go into the 7 1/2

Answers

Answer:

0.9375

Step-by-step explanation:

1/2=0.5

7.5÷8

=0.9375

barely even once

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Two soup cans p and q are right circular cylinders. each can has the same height, 5 inches, but the radius of can p is 2 inches, and the radius of can q is 4 inches. how many times larger is the volume of can q than the volume of can p? $3.36 for 16 ounces$3.60 for 20 ounces$4.08 for 24 ounces$5.44 for 32 ounces Please help me, best answer will get brainliest.07.05 Lesson Summary and AssessmentWhat Do I Have To Do?You should now be familiar with the Han Empire and the Silk Road! Your assignment is to create a sense chart about the sights, sounds, feelings, tastes and smells that one might have experienced along the Silk Road.Imagine yourself as a merchant along the Silk Road, during the time of the Han Dynasty. Think of all the places, peoples, and events you would see and experience. Your five senses would be overwhelmed! You would see different countries, with different types of land and terrain. You would hear different languages, music, and sounds. You would see humans working and creating new products. You would touch different fabrics. You would experience hot, cold, damp, or dry weather. You would taste new foods. You would smell spices and animals in marketplaces. You would see animals that are not native to your homeland.First, print the Sense Chart. Then, fill in the sense chart with sensory details describing what you would experience along the Silk Road.Your completed Sense Chart must:-list at least three details for each of the five senses-include one image for each of the five categories-include factual information from the lesson to support what you are sensing or experiencing Whats 5-5-5-5-5-5x5757575 An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth. what does the unknown number round to when rounded to the nearest whole? All of these represent the process by which a bill becomes a law in Georgia. Place the items in the correct order in which they must take place. You may write only the underlined portion if you choose. Hello everyone hop you are having a great/night day today I have a question for you. Please answer in 1-3 sentences please don't copy it from somewhere. Please write in simple sentences... Thank you now here is the question...What is a fossil? which of the following climte has rain in all seasons Use your calculator to find sin-1(0.48) to the nearest degree Please help I don't get this The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels?. How does Orwell use the technique of irony in animal farm What was a characteristic of economic development in the south? 1: A focus on new technology to upgrade factory machines. 2: A diverse economy based on industry and agriculture. 3: A labor force that consistent mainly of immigrants from Europe. 4: A reliance on using the labor of enslaved people to grow crops 3x-6y=-126x+6y=30 What is the value of x and y the three synonymous terms to describe the u.s. economic system are free enterprise, capitalism, and- limited role of governmentbfree marketc competitiondeconomic freedom PLEASE HELP ME I CANT GET IT RIGHT Question 7: David wants to fill his water bottle. The cylindrical bottle has a radius of 4.5 in and a height of 9.10 in. How much water will he need if 3 ounces of water is equivalent to 2 cubic inches? What intrusive volcanic activity may occur at a fold How does Elizabeth's character challenge other narratives about girls capabilities in the world? What makes you say that? i need help with this problem