A box contains 4 red marbles, 3 green marbles and 2 blue marbles. One marble is removed from the box and it is NOT replaced. Another marble is drawn from the box. What is the probability that the first marble is blue and the second marble is green?

Answers

Answer 1

The required probability is [tex]\dfrac{1}{12}[/tex].

Important information:

Red marbles = 4Green marbles = 3Blue marbles = 2Probability:

Total number of marbles is:

[tex]4+3+2=9[/tex]

The probability of getting a blue marble is [tex]\frac{2}{9}[/tex].

After removing a marble, the number of remaining marbles is 8. So, the probability of getting a green marble is [tex]\frac{3}{8}[/tex].

Now, the probability that the first marble is blue and the second marble is green is:

[tex]P=\dfrac{2}{9}\times \dfrac{3}{8}[/tex]

[tex]P=\dfrac{1}{12}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].

Find out more about 'Probability' here:

https://brainly.com/question/10697254


Related Questions

I sold 6 coats for 60$ each. my commission is 20%, how much did I make

Answers

My answer would be 160

Answer:

the answer should be s 160

Find the length of side x in simplest radical form with a rational denominator.

45

Х

45

3

Answers

Answer:

[tex]x = 3\sqrt 2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To solve for x, we simply apply sine formula which states:

[tex]sin\ (\theta) = \frac{Opposite}{Hypotenuse}[/tex]

In this case:

[tex]\theta = 45^{\circ}[/tex]

[tex]Opposite = 3[/tex]

[tex]Hypotenuse = x[/tex]

So, the formula becomes:

[tex]sin(45) = \frac{3}{x}[/tex]

Cross Multiply

[tex]x * sin(45) = 3[/tex]

Make x the subject

[tex]x = \frac{3}{sin(45)}[/tex]

[tex]sin(45) = \frac{1}{\sqrt 2}[/tex]

So, we have:

[tex]x = \frac{3}{\frac{1}{\sqrt 2}}[/tex]

[tex]x = 3/\frac{1}{\sqrt 2}[/tex]

[tex]x = 3 * \sqrt 2[/tex]

[tex]x = 3\sqrt 2[/tex]

A pack of four CFL bulbs cost $5.12 what is the cost for CFL bulb HELPPP MEHHH BTW ADD ME ON FORTNITE poineytail360

Answers

$1.28

If you divide $5.12 by 4 you get 1.28

so it's 1.28 per

Given the points (1,6) and (8, -3), find the horizontal distance between the points

Answers

Answer:

7

Step-by-step explanation:

8 - 1 = 7

thank, 5 star, brainliest if helpful!

Question 3 of 10
A tax professional gets paid $175 for each tax return she prepares, and her
goal is to earn $6650 preparing tax returns during this tax season. If she has
already prepared 5 tax returns this tax season, how many more tax returns
must she prepare in order to reach her goal?
A. 35
B. 33
C. 38
D. 43
SUBMIT

Answers

Answer:

C.38

Step-by-step explanation:

175 times 38 = 6650

The answer is 38 because if you times(x) 175 with 38 it will give you 6650

Martina has two dogs. The ratio of the dogs’ weights is 2:3. If the
total weight of the two dogs is 40 pounds, how much does each
dog weigh?

Answers

Answer:

Dog 1: 16 pounds

Dog 2: 24 pounds

Step-by-step explanation:

2x+3x=40

5x=40

x=8

2x = 16

3x=24

Answer:

The dogs' weights are 16 pounds and 24 pounds

Step-by-step explanation:

Equations:

Martina has two dogs. Their combined weight is 40 pounds. Let's set:

x       = weight of one of the dogs.

40-x = weight of the other dog

The ratio between them is 2:3, thus:

[tex]\displaystyle \frac{x}{40-x}=\frac{2}{3}[/tex]

Cross multiplying denominators:

3x = 2(40 - x)

Operating:

3x = 80 - 2x

Adding 2x:

5x = 80

Dividing by 5:

x = 80/5 = 16

x = 16 pounds

The weight of the other dog is 40-16=24 pounds.

The dogs' weights are 16 pounds and 24 pounds

PLEASE HELP ASPPPP!!!

Answers

Answer:

B. {10, 20, 30, 40, 50, 60, 70}

Explanation:

The domain of a function is defined as the set of all input values. Or in other words the set of all first element of ordered pairs.

In the given input-output table, the set of all input values will be the domain of the given function.

Please answer this correctly without making mistakes

Answers

Answer: 1 lb 5 oz

Step-by-step explanation:

Answer:

1 pound = 16 oz

6 pounds 5 oz = 101 oz

101 oz - 80 oz = 21 oz, or 1 lb 5 oz

I need help ASAP please I’m. Also giving brainliest!

Answers

Answer:

36

Step-by-step explanation

Basically, you are just doubling the amount of wrapping paper that Carly has, so in this case it would be:

18 x 2 = 36

Answer: 36


Explanation: 18 x 2 = 36

Coach Perez has 32 basketballs and 16 footballs. which ratio accurately compares the number of basketballs to the number of footballs?​

Answers

The ratio is 2:1 you are very welcome

Answer:

2:1 or 2/1

Step-by-step explanation:

the original ratio is 32:16 or 32/16

remember a ratio is like a fraction

as long as you divide both numbers by the same number, the ratio is still accurate

so in this case we will divide by 16 because it is the gcf

32 divided by 16 is 2

16 divided by 16 is 1

so the answer is 2:1 or 2/1

Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected 840 from ticket sales, how many adult tickets were sold?

The drama class sold____ adult tickets.

Answers

Answer:

about 80

Step-by-step explanation:

Click on the measurement of the angle.

Answers

It’s 34 the first option

a child needs to take 1/6tablespoons of medicine per day in 4 equal doses howmuch medicine is in each dose

Answers

for there to be 4 equal doses out of 1/6 the child would need to take 1/24 4 times a day to take a total of 1/6

hope this helps!

An elevator can carry up to 2,500 pounds. Suppose the weight of an average adult is 150 pounds. At most how
many average-sized adults can safely ride the elevator at the same time? Write an inequality and solve. Let p
represent the number of people who can safely ride the elevator.

Answers

Answer:

16

Step-by-step explanation:

2500/150=16 2/3

but we dont want 2/3 of a person so just ignore that part

im in a hurry sorry

Answer:

16

Step-by-step explanation:

assuming that you can go up to 2500, simply multiple until you reach your target of 2500, i did 150 x 16 to get 2400, 100 less than 2500, meaning it would be safe and one more wouldn't.

Write the number 0.5 in ab using intergers to show its a rational number

Answers

9514 1404 393

Answer:

  5/10

Step-by-step explanation:

0.5 is five tenths is 5/10

plz help!! Describe the transformation from the graph of f(x) = 3x + 4 to the graph of g(x) =f(x) + 2.

Answers

the transformation is translated 2 up

Alice is saving money at a constant rate. Suppose she initially has $70 saved, and after 2 months, she has $170 saved.

Which of these expresses the rate at which Alice is saving?


Select the correct answer below:



50 dollars per month



70 months per dollar



−50 dollars per month



50 months per dollar



100 dollars per month

Answers

Answer:

50 dollars per month

Step-by-step explanation:

Given

[tex]Months = 2[/tex]

[tex]Total = 170[/tex]

[tex]Initial = 70[/tex]

Required

Determine the rate of savings

Suppose in a month, she saves x amount.

In 2 months, she would save 2x

When 2x is added to the initial savings, it gives the total amount saved.

So, we have:

[tex]2x + 70 = 170[/tex]

Collect Like Terms

[tex]2x = 170 - 70[/tex]

[tex]2x = 100[/tex]

Divide both sides by 2

[tex]x = \frac{100}{2}[/tex]

[tex]x = 50[/tex]

Hence, she saves $50 dollars monthly

Everyone shares a responsibility in maintaining the Microworkers community. All of these are proper conduct in Microworkers participation, except:

Answers

Answer: 4. Reviewing own tasks before submitting a complain to ensure basis

Step-by-step explanation:

Microworkers is a sort of freelance website where people can hire workers to do tasks for them from anywhere. It is international so a person in Alaska can hire a worker in Guyana if need be.

The community aims for friendly relations and as such everyone there should share this responsibility. Options A to C are ways to share in this except for option D. One should submit a complaint before they receive tasks.

For a bake sale, Jada makes 478 cookies and places
them into small bags. Each bag will hold 4 cookies.
How many full bags of cookies can Jada make?

Answers

:

may be wrong. But if Jada needs to individually separate them, I would say divide.

:

478*4= 119.5

The answer is 119 or in other words D.

PLEASE HELP! I don't get it

Answers

Answer:

Subtract to eliminate y

Step-by-step explanation:

it is the easiest to eliminate first since 7y and -7y are opposites.

I'm guessing this is one of those problems where u find both y and x .... but yeah its the 3 option

Answer:

Option 'C i.e. Subtract to eliminate y' is the correct option.

Step-by-step explanation:

Given the system of equations

-6x + 7y = -54

-7x + 7y = -56

The first step we need to do is to subtract to eliminate y, because 7y and -7y will cancel each other.

[tex]-6x + 7y = -54[/tex]

[tex]-[/tex]

[tex]\underline{-7x+7y=-56}[/tex]

x + 0y = 2

x = 2

Therefore, we get x = 2 after we implemented the fist step to subtract to eliminate y.

Hence, option 'C i.e. Subtract to eliminate y' is the correct option.

At McMeck High School they decided to calculate the average GPA of all 950 students. The

average GPA was 2.38 with a standard deviation of 0.59, what is the margin of error? Round

your answer to three decimal places.

Answers

Answer:

The margin of error = 0.037

Step-by-step explanation:

Explanation:-

Given that the mean of the Population(μ) = 2.38

Given that the standard deviation of the Population(σ) = 0.59

Given sample size 'n' = 950

Level of significance = 0.05

The critical value( Z₀.₀₅) = 1 .96

The margin of error is determined by            

                       [tex]M.E = \frac{Z_{\alpha } S.D}{\sqrt{n} }[/tex]

                      [tex]M.E = \frac{1.96 (0.59)}{\sqrt{950} }[/tex]

                      M.E = 0.037

Final answer:-

The margin of error = 0.037

What is 17% of 1345
Thankkkk youuu

Answers

Answer:

228.65

Step-by-step explanation:

0.17 times 1345

Answer:228.65

Step-by-step explanation:

Caroline won $205000 in a lottery. After paying $96000 in taxes, she placed the remaining amount in a savings account at a 2% interest rate. How much interest will the account earn after just 6 months?

Answers

Answer: $1090

Step-by-step explanation:

Since Caroline won $205000 in a lottery and then paid $96000 in taxes, the remaining amount will be:

= $205000 - $96000

= $109000

The interest that the account will earn after just 6 months will be:

Interest = PRT

= 109000 × 2% × 6/12

= 109000 × 0.02 × 0.5

= $1090

The ratio of white marbles to blue marbles in connie’s bag of marbles is equal to 2:3. there are more than 20 marbles in a bag what is possible number of white marbles and blue marbles in the
bag

Answers

Step-by-step explanation:

let the number of blue and white marble be 2x and 3x respectively.

from question

2x +3x = 20

5x=20

x=20/5

x=4

2x= 2*4=8

3x=3*4=12

I need an answer asap

Answers

Answer:

I think it's the third one, if it helps

15 inches² =blank amount of feet ²​

Answers

Answer:

351.5625 ft squared

Step-by-step explanation:

First multiply 15 times 15 and get 225, then divide this by 12 and you will get 18.75 now muliply it by 18.75 and you will get 351.5625.

Alright Hope It Helps This Time.

Mr.Kitty can run 30 feet per second. Mrs Kitty can run 385 inches per second Who.

Answers

Answer:

Mrs. Kitty runs faster

Step-by-step explanation:

We can find this out by converting the units from feet to inches so that we can compare the two speeds.

30 x 12 = 360

Mr. Kitty can run 360 inches per second

Mrs. Kitty can run 385 inches per second

(sorry if this is confusing but I hope it helped)

Answer:

Mrs. Kitty is faster

Step-by-step explanation:

30x12=360 inches

360<385 inches

-Meow

Pls help with math asap

Answers

That whole angle is supplementary and we’re given 90 and the 73 is a vertical angle. 90 + 73 is 163 and 180 - 163 = 17
X = 17

[tex] \large{ \text{Hi, Hope you are fine!}}[/tex]

GIVEN:

[tex] \bull \: \: \: \sf{\angle CGE= x \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \bull \: \: \: \sf{ \angle AGF = 75 \degree}[/tex]

[tex] \bull \: \: \: \sf{AGC=90 \degree}[/tex]

TO FIND:

[tex] \bull \: \: \: \sf{Value \: of \: x}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

SOLUTION:

‎ ‎ ‎ ‎

[tex] \sf{\angle AGC + \angle AGD=180° (Linear \: pair)}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{:\implies90 \degree+ \angle AGD=180° }[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies\angle AGD=180° - 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{:\implies \angle AGD= 90 \degree}[/tex]

[tex] \sf{:\implies\angle FGD= \angle CGE=x}[/tex]

[Vertically opposite angle]

‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ \angle AGD= 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{:\implies \angle AGF+ \angle FGD= 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies75 \degree + x = 90 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies x = 90 \degree - 75 \degree}[/tex]

‎ ‎ ‎ ‎ ‎ ‎

[tex] \sf{ :\implies \: x = 15 \degree}[/tex]

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

Answers

Answer:

x = 3 ± √ 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is A

A(0, 1), B(4,1), C(1, 2), D(1,6): AB and CD

Answers

The answer is D because I took the test
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