You have a bag of 12 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a red marble and, without replacing it, then drawing a green marble?

Answers

Answer 1

Answer:

[tex]Probability = \frac{1}{11}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 4[/tex]

[tex]Green = 6[/tex]

[tex]Red = 2[/tex]

[tex]Total = 12[/tex]

Required

Determine the probability of drawing red and green without replacement

This is calculated as follows:

[tex]Probability = P(Red\ and\ Green)[/tex]

[tex]Probability = P(Red)\ and\ P(Green)[/tex]

[tex]Probability = \frac{n(Red)}{Total} * \frac{n(Green)}{Total - 1}[/tex]

We used Total - 1 because it's a probability without replacement:

[tex]Probability = \frac{2}{12} * \frac{6}{12- 1}[/tex]

[tex]Probability = \frac{2}{12} * \frac{6}{11}[/tex]

[tex]Probability = \frac{1}{6} * \frac{6}{11}[/tex]

[tex]Probability = \frac{1}{11}[/tex]

Hence, the required probability is 1/11


Related Questions

The prime factorization of 1080 is ____
.

List the factors from least to greatest and be sure to use the * between different the factors. For example, the prime factorization for 12 can be entered as 2*2*3. Do not use exponents.

Answers

Answer:

1080 = 2 * 2 * 2 * 3 * 3 * 3 * 5

Step-by-step explanation:

Start dividing by prime numbers.

1080 / 2 = 540

540 / 2 = 270

270 / 2 = 135

135 / 3 = 45

45 / 3 = 15

15 / 3 = 5

5 / 5 = 1

So we have 3 2s, 3 3s, and 1 5.

In the regular octagon shown below, which of the following is the minimum angle of rotation about center point C will carry the figure onto itself?
1) 15°
2) 30°
3) 45°
4) 90°

Answers

Answer: 4)90˚

Step-by-step explanation:

(90˚ is more towards the middle

A regular octagon is a shape with 8 congruent sides.

The minimum angle of rotation is 45 degrees

The number of sides of a regular octagon is:

[tex]\mathbf{n = 8}[/tex]

The total angle at the center of the regular octagon is:

[tex]\mathbf{\theta = 360}[/tex]

So, the minimum angle of rotation is calculated as follows:

[tex]\mathbf{\alpha = \frac{\theta}{n}}[/tex]

This gives

[tex]\mathbf{\alpha = \frac{360}{8}}[/tex]

[tex]\mathbf{\alpha = 45}[/tex]

Hence, the minimum angle of rotation is 45 degrees

Read more about rotations at:

https://brainly.com/question/1571997

Han says that you can wrap a 5-foot rope around a wheel with a 2-foot diameter because is less than pi. Do you agree with Han? Copied for free from openupresources.Org

Answers

Given :

Han says that we can wrap a 5 foot rope around a wheel with a 2 foot rope.

To Find :

It this true or false.

Solution :

Radius of wheel, r = 1 foot.

Circumference of wheel is given by :

[tex]C = 2\pi r\\\\C = 2\times 3.14\times 1\\\\C = 6.28 \ foot[/tex]

Since, circumference is greater than 5 foot, therefore, we cannot wrap a  5-foot rope around a wheel with a 2-foot diameter.

Hence, this is the required solution.

agree Step-by-step explanation:

Help pls!

13x - 14 = - 118
- 13x =
x=

Answers

x= -8. Hope this helps!
13x-14=-118
-13x=
x=-8

All corresponding angles in congruent figures are congruent.
True or false

Answers

It’s true

Please tell me if wrong

Nora has 16 muffins that she wants to give to 4 friends.
She wants each friend to have the same number of muffins.
Select the three statements that describe how Nora should give the muffins to her
friends.

Answers

Answer:

16 ÷ 4, 16/4, each friend gets 4 of the muffins.

Step-by-step explanation:

Dividing it by four will give them all an equal amount.

Hope this helps.

What is the soul it ion or | 3x -4 | =8

Answers

Answer:

true

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

8+4=12 12 divided by 3=4

A grocery store sells cashews. The relationship between the mass and cost of cashews is shown in the following graph. Which statements about the graph are true? Select all that apply.

Answers

Answer:

hope this helps! The answer is in the photo <3

Step-by-step explanation:

This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour

Answers

Answer:

Butter: 40 g

Sugar: 20 g

Flour: 60 g

Step-by-step explanation:

The recipe makes 18 fingers.

Rose wants to make 6 fingers.

6/18 = 1/3

Rose wants to make 1/3 of the recipe, so she needs 1/3 of each ingredient.

Butter: 1/3 * 120 g = 40 g

Sugar: 1/3 * 60 g = 20 g

Flour: 1/3 * 180 g = 60 g

Answer:

40g butter

20g sugar

60g flour

Step-by-step explanation:

A faucet dripped 1/4 cup of water in 11/2 hours. What is the rate in cups per hour?

Answers

Answer:1/6th of the Cup

Step-by-step explanation:

hey, can someone please help me solve this? it’s a test.

Answers

Answer:

c

Step-by-step explanation:

3x+75=180

    -75  -75

     3x=105

       x=35

35*2=70

Marcella wants a job as a sales representative. She receives two job offers that sell office machines to businesses.

Office Essentials offers Marcella a set monthly salary of $2,500 plus a commission (additional $) of $120 for every office machine she sells
Everything Office offers her a set monthly salary of $2000 plus a commission (additional $) of $150 for every office machine she sells

If T is the total amount (combined salary and commission) of money Marcella makes each month M is the total number of office machines she sells

1. Write an equation to represent the Total money she would make in one month at Office Essentials
2. Write an equation to represent the Total money she would make in one month at Everything Office

Answers

Answer:

$4,000

Step-by-step explanation:

Part A

Marcella wants a job as a sales representative. She receives two job offers from companies that sell office machines to businesses.

Office Essentials offers Marcella a salary of $2,500 per month, plus a commission of $125 for every office machine she sells.

Everything Office offers Marcella a salary of $2,000 per month, plus a commission of $150 for every office machine she sells.

Let M represent the total monthly earnings, in dollars, and let n represent the number of office machines sold in a month. For each company, write an equation that represents the relationship between M and n.

Enter your equations in the space provided.

Part B

Marcella wants to earn a total of at least $4,000 per month. For each company, find the least number of office machines she would need to sell each month in order to meet this goal. Show your work.

Enter your answers and your work in the space provided.

Part C

Compare Marcella’s possible earnings at Office Essentials to her possible earnings at Everything Office. How many machines would Marcella have to sell for the earnings at both companies to be the same? Find the interval of machines sold for which the total earnings at Everything Office are greater than the total earnings at Office Essentials. Show your work.

the sum of y and the difference of 9 and j
as an expression​

Answers

Answer: I think it would be Y+(9-j)

the difference between
8,-7 and -3,-7

Answers

Answer:

1) is 15.

2) is 4.

Step-by-step explanation:

hope this helps :)

Answer:

8,-7 is over in ll

-3,-7 is over in 4

thatsone big difference

lmk if this helped

simplify 5+3.2n−6−4.8n

Answers

Answer: -1.6n - 1

Step-by-step explanation:

1. Rearrange the expression so like terms are next to each other

3.2n - 4.8n + 5 -6

2. Combine like terms

-1.6n - 1

3. Check your work, and your simplified expression should be correct!

There are 24 bottles of water in 2 cases of water. If each case of water contains the same number of bottles, what is the minimum number of cases needed to have 76 bottles of water?

Answers

Answer:

7

Step-by-step explanation:

yw

Answer:

7

Step-by-step explanation:

Please help me on this problem:)

Answers

we need to see the graph in order to help
graph needed to solve it

Is the following equation an example of direct variation?

y equals 5 x

Answers

Yes it is a direct variation

I need help, please u will get 20 points

Answers

Answer:

the answer is going to be 9

Answer:

13

Step-by-step explanation:

9 3/4 feet = 3/4 minutes

39/4 = 3/4

= 13

Kristin is filling 3 jars with jellybeans. If she has 1,856 jellybeans and wants to split them evenly between the jars, will Kristin have any jellybeans left over? If so, how many?

Answers

Answer:

Yes, Kristin will have 2 jelly beans left

Step-by-step explanation:

Total jelly beans = 1,856

Total jars = 3

Kristin is filling 3 jars with jellybeans

She wants to split them evenly between the jars, will Kristin have any jellybeans left over?

Jellybeans in a jar = total jellybeans / total jar

= 1,856 / 3

= 618 remainder 2

Yes, Kristin will have jelly beans left

Kristin will have 2 jellybeans left

Check:

618 × 3 = 1,854

Remaining jellybeans = 1,856 - 1,854

= 2 jellybeans

last question i will give brainliest

Answers

H i think! sorry if it’s wrong
-2/5 is -0.4
-2.47
-2 1/2 is -5/2 or -2.5
21/4 is 5.25
5

least to greatest would be

-2 1/2
-2.47
-2/5
5
21/4

answer is H

Please help
I will give brainliest
A farmer is painting a new barn. He will need to calculate the surface area of the bath to purchase the correct amount of paint in which following unit can the farmer expect to calculate the surface area?
M, m^3, ft, ft^2

Answers

Answer:

Step-by-step explanation:

Ft is 4 m35

Answer:

The answer would be B

Step-by-step explanation:

meter's squared is literally the basic unit of measurement for surface area

WORTH 20 POINTS

help ASAP

Answers

Answer:

She will use 32

Step-by-step explanation:

Every 1 model she adds 2 just do 16x2=32

In the diagram, Triangle ABC ~ Triangle ACD. If AD = 12 and DB = 15, What is AC?

Answers

Answer:

AC = 9

Step-by-step explanation:

We solve using Pythagoras Theorem

The formula is given as:

a² + b² = c²

Where:

AC = a = ?

AD = b= 12

DB = c = 15

Hence,

a² + 12² = 15²

a² = 15² - 12²

a² = 225 - 144

a² = 81

Square root both sides

√a² = √81

a = 9

Hence, AC = 9

4+5(p-1) =34 solve it fast

Answers

Answer:

P=7

Step-by-step explanation:

4+5(7-1) = 34

4 + 5(6) = 34

4+30=34

34=34

I need help I WILL MARK BRAINLIEST JUST PLS TELL ME WHAT 2+2 IS PLSSSSS IM DESPERATE

Answers

Answer:

4

Step-by-step explanation:

2+2=4

gjkv ksfirjeogjagkfs fnremfsjkzd ewafeji frefnrzf fjnfjrbgbege frfnr frne frefaznj refjinrf

Answers

Answer:

THIS ANSWER IS REVENGE

muhahaha

use ur notebook and
solve for: 5x-36x+3x
ill give brainliest

Answers

-28x is the answer.

add -36 and 3 then subtract 5 when you get your answer make a negative and keep the x

Marissa got a lot of Halloween candy. She collected 7,965 candy bars. She wants to split it between her and her 7 friends. How much candy will be left over after dividing it?

Answers

Answer:

6 candies

Step-by-step explanation:

Marissa collected 7,965 candy bars during Halloween.

She wants to split it between 7 of her friends

= 7965/7

= 1137 remainder 6

Hence 6 candies will be left after dividing

help asap please !!!!

Answers

Answer:

65,69,81,87,88

Step-by-step explanation:

E.81

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