A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting it back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?
Option A: 2/9
Option B: 1/2
Option C: 1/3
Option D: 2/3

Answers

Answer 1

Answer: C.  [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: Box contains 8 green balls and 4 purple balls.

Total balls = 8+4 = 12

event 1 = first picking green ball

event 2 = second picking purple balls.

As first ball was replaced, that means both events are independent.

Probability that you have selected a green ball and then a purple ball = P(purple ball )

Formula for probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]

Probability of selecting a purple ball (second pick)= [tex]\dfrac{4}{12}[/tex]

[tex]=\dfrac{1}{3}[/tex]

The required probability [tex]=\dfrac{1}{3}[/tex], so C is correct option.

Answer 2

Answer:

2/9

Step-by-step explanation:

PJ= PG * PP = 2/3 * 1/3 = 2/9


Related Questions

What is the slope of the line represented by the equation y = 4/5x - 3?
A . -3
B. -4/5
C. 4/5
D. 3

Answers

Answer:

i think c but not positive

Step-by-step explanation:

F(x) = x + 4: find f(4) and f(x) = 10

Answers

Answer:

f(4) = 8

f(6) = 10

Step-by-step explanation:

Step 1: Define

f(x) = x + 4

f(4) is x = 4

f(x) = 10

Step 2: Find f(4)

f(4) = 4 + 4

f(4) = 8

Step 3: Find f(x) = 10

10 = x + 4

x = 6

18ac - 12a - 15c + 10

Answers

Answer:

[tex]\left(3c-2\right)\left(6a-5\right)[/tex]

Step-by-step explanation:

[tex]18ac - 12a - 15c + 10\\\\=\left(18ac-12a\right)+\left(-15c+10\right)\\\\\mathrm{Factor\:out\:}-5\mathrm{\:from\:}-15c+10\mathrm{:\quad }-5\left(3c-2\right)\\\\\mathrm{Factor\:out\:}6a\mathrm{\:from\:}18ac-12a\mathrm{:\quad }6a\left(3c-2\right)\\\\=-5\left(3c-2\right)+6a\left(3c-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}3c-2\\\\=\left(3c-2\right)\left(6a-5\right)[/tex]

(3c-2)(6a-5)

Explain

18ac-12a-15c+10

(18ac-12a)+(-15c+10)

Factor out -5 from-15c+10: -5(3c-2)

Factor out 6a from 18ac-12a: 6a(3c-2)

= -5(3c-2)+6a(3c-2)

Factor out common terms 3c-2

(3c-2)(6a-5)

:) Hope you enjoy :)

the markup on a restaurant meal is 250%. a meal cost $7.30 to produce. how much will the customer be charged before tax and tip?

Answers

The cost of the meal would be $18.25. You can find this answer by multiplying 7.30 by 2.5, since the decimal form of 250% is 2.5.

The required amount of money that a customer be charged is, $25.55.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

The markup on a restaurant meal is 250%.

And, A meal cost $7.30 to produce.

Now, The markup price on the meal is given by,

⇒ 250% of $7.30

⇒ 250/100 × $7.30

⇒ 5/2 × $7.30

⇒ $18.25

Therefore, The amount of money that a customer be charged before tax and tip is,

⇒ $7.30 + $18.25

⇒ $25.55

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

I NEED HELP ASAPPPP mŁABC = 117° → Find
mZCBD
D
C

Answers

Answer:

117-40=77

Step-by-step explanation:

Subtract 40 from 117 to get the answer

What is -5/9 written in decimal form? EXPLAIN how you found your answer.

Answers

Answer: -0.56 (with a line over the 5)

Step-by-step explanation:  I found my answer by dividing 5.000 by 9 which is 0.56. Then, I wrote a line over the 5, so that I don’t have to repeat the number 5, multiple times.

In ΔNOP, the measure of ∠P=90°, PN = 34 feet, and OP = 40 feet. Find the measure of ∠O to the nearest degree.

Answers

Answer:

40°

Step-by-step explanation:

Millie makes 24 bracelets in 10 hours. What is her rate? ******rates must have 2 different labels
********almost always, time is a denominator

Answers

Answer:

2.4 bracelets per hour

Step-by-step explanation:

24 bracelet/ 10 hrs

2.4 bracelets per hour

Answer:

2.4 an hour

Step-by-step explanation:

Can you answer 10,11,12,13 for mee please I need ASAP !!!

Answers

Answer:

10. Is 31/4 times 1/3 =31/12 or 2 7/12

11.3/8 times 2/3=1/4 but final answer is 1/16

12. 1/2 times -5/-8 = 15/16

13. 1/3 times 11/16 =11/48

Step-by-step explanation:

Identify which Quadratic Form this Function is in.
y = 4(x + 2) (x - 6)

Answers

It is an upward quadratic function

which is a parabola

with vertex ( 2 , -64 )

and Axis x = 2

with two x-intercept in x = -2 and x = 6

and with one y-intercept in y = -48 .

_________________________________

I think that's all .....

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

PLEASE HELP!!!!!!!!! PLEASE GIVE AN EXPLANATION SO I CAN UNDERSTAND!!!!!

Answers

I’m kinda late .! do u still need help ?

A stem and leaf plot shows the number of kilometers walked for charity. The plot is titled 'Kilometers Walked for Charity.' The numbers 12, 13, 14, 15, 16, and 17 are in a vertical column to the left of a vertical line. · On the same line as 12 but on the right of the vertical line are the numbers 3, 3, 6, 7, 9, and 9. · On the same line as 13 but on the right of the vertical line are the numbers 1, 1, 4, 5, and 5. · On the same line as 14 but on the right of the vertical line are the numbers 0, 0, 2, 3, 3, 8, 8, and 9. · On the same line as 15 but on the right of the vertical line are the numbers 2, 2, 2, 2, 2, 3, 5, 5, and 7. · On the same line as 16 but on the right of the vertical line are the numbers 4, 5, 5, 9, and 9. · On the same line as 17 but on the right of the vertical line are the numbers 3 and 5. The key to the stem and leaf plot identifies that 12 vertical line 3 means 12.3. a. Describe how to find the range of the data set. b. Find the range.

Answers

Answer:

For part A: Range is difference between the highest value and lowest value of the data set.

For part B: Range is 5.2

Step-by-step explanation:

For part A:

Range of a data set is difference between the highest value and lowest value of the data set.

For part B:

From stem and leaf and it's key ,we can write our data set as

12.3,12.3,12.612.7,12.9,12.9,13.1,13.1,13.4,13.5,13.5,14.0,14.0,14.2,14.3,14.3,14.8,14.8,14.9,15.2,15.2,15.2,15.2,15.2,15.3,15.5,15.5,15.7,16.4,16.5,16.5,16.9, 16.9, 17.3,17.5.

Lowest value of data set = 12.3

Highest value of the data set =17.5

So, range = highest value- lowest value= 17.5-12.3 =5.2

Hurry :(
The length of a rectangular door is 35 inches, and the width of the door is 12 inches.
What is the length of a diagonal of this door in inches?

Answers

Answer:

The answer is d=37 in

Step-by-step explanation:

Work out 20 percent of 800

Answers

Answer:

160

Step-by-step explanation:

Hi there !

100% ............... 800

20% .......................x

x = 20×800/100 = 16000/100 = 160

Good luck !

00:00 Choose all of the addition problems in which you add zeros to align place values in the addends. A. 0.04 + 5 + 3.2 B. 18.9 +0.7 C. 1.2 +5.75 +2.8 D. 6.23 + 11.01 + 4.99 o E 15.03 - 23.23 its a mutiple choice question​

Answers

Answer:

a-8.24  b-19.6  c-9.75   d-17.24   e-−8.2

Step-by-step explanation:

Josh's chicken soup recipe calls for 212L of chicken stock. Josh makes 314times the recipe for a family reunion. How much chicken stock does Josh use to make soup for the family reunion? Express your answer as a mixed number in the simplest form.

Answers

Answer:

[tex]8\dfrac{1}{8}\ L[/tex]

Step-by-step explanation:

Given that,

Amount needed for chicken stock is [tex]2\dfrac{1}{2}\ L[/tex]

Josh makes [tex]3\dfrac{1}{4}[/tex] times the recipe for a family reunion.

Let A is the amount neededto make soup for the family reunion. It can be calculated as follows :

[tex]A=2\dfrac{1}{2}\times 3\dfrac{1}{4}\\A=\dfrac{5}{2}\times \dfrac{13}{4}\\\\A=\dfrac{65}{8}\ L\\\\\text{or}\\\\A=8\dfrac{1}{8}\ L[/tex]

So, [tex]8\dfrac{1}{8}\ L[/tex]of chicken stock Josh use to make soup for the family reunion

Olivia bought a yogurt and two bagels for $2.45. The yogurt was ninety-five cents. How much is one bagel?

Answers

Answer:

.28 cents

Step-by-step explanation:

7. Solve the system of equations using substitution and elimination. No matrix
calculator
3x - 2y - Z = -12
8x - 3y + 4z = 6
-7x + 5y - 3z = 2

Answers

Answer:

65

Step-by-step explanation:

FCJCFHCYJHCJ=09

HYVFYTRYTRYTRYTRYTRHUVF08=887U#]]]]]]]]]]]]]]]]]

X=9

I swear I'm not dumb I just cbf rn. I feel like sleeping can someone help?? ​

Answers

D- 3.9, 3.6, 3.3
F- 25/35, 31/35, 36/35 or 1 and 1/35

Help needed ASAP will give brainliest and 5 STAR RATE (not a real test)

Answers

Answer:

(0,0), (0,1), (1,2), (1,3)

Step-by-step explanation:

To determine what makes ordered pairs a function, we have to make sure each input (x) goes to exactly one output (y).

The reason this is the answer is that each input doesn't have exactly one output. (0 goes to 0 and 1. 1 goes to 2 and 3).

Cholesterol levels in men 18 to 24 years of age are normally distributed with a mean of 178 and a standard deviation of 41. The cholesterol levels in women 18 to 24 years of age has a mean of 167 with a standard deviation of 38. What is the percentage for a 20 year old man with a cholesterol level less than 190?

Answers

Answer: 61.51%

Step-by-step explanation:

To find : percentage for a 20 year old man with a cholesterol level less than 190.

20 lies between 18 and 24.

For this , Cholesterol levels are normally distributed with a mean([tex]\mu[/tex]) of 178 and a standard deviation([tex]\sigma[/tex]) of 41.

let X = cholesterol level in 20 year old man.

Required probability = [tex]P(X< 190)=P(\dfrac{X-\mu}{\sigma}<\dfrac{190-178}{41})[/tex]

[tex]=P(z<0.2926)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\= 0.6151 [\text{By p-value table}][/tex]

hence, the percentage for a 20 year old man with a cholesterol level less than 190 = 61.51%

How many lines of symmetry does the following logo design have?

Answers

Answer:

the shape has 2 lines of symmetry

The shape has to lie to decimals

6 = 2(y + 2) Y = I
pls ​

Answers

It would be 6=6

As you are given y, you would plug in the 1 into the equation which gives you 6=2(1+2) after, you use PEMDAS or GEMDAS, you add 1+2 which gives you 3 leaving you with 6=2(3) and lastly you multiply 2(3) which is 6 so 6=6!! Hope this helps!!!

Clara bought 40 pencils for $0.35 each. Raina bought 70 pencils at the same price. How much more money did Raina spend?

Answers

Answer:

10.5

Step-by-step explanation:

1. 40 x 0.35 (14)

2. 70x0.35 (24.5)

3. 24.5-14 (10.5)

Answer

its $24.50

Step-by-step explanation:

I multiplied $0.35 and 70 pencils  

who swims faster Sarah or Eva? WILL NAME BRAINIEST

Answers

Answer:

Eva swims faster than Sarah

Step-by-step explanation:

At first, they swim at different rates, but if you compare the last two (17/425 and 20/520) Eva swam the fastest.

Answer:

Sarah swims faster

Step-by-step explanation:

To get the answer, divide the time by the distance. 17/425 is greater than 20/520, so sarah swims faster

Find the quadrant of the image.
A future is translated 7 units up and 4 units left. how large is the image in comparison to the figure ? the size of the image in comparison to the figure is

A. 4 times larger
B. The same size
C. 7 times smaller

Answers

Answer: c.) 7 times smaller
Same only i wish but yeah

Can some plz answer this and give explanation? :) How many unit cubes are required to create a larger cube with edge length of 3 units?

Answers

Answer: is this what your looking for "A large cube with edge of length 3 units is built from 6 small blue unit cubes and 21 small white unit cubes"

Step-by-step explanation:

The perimeter of the rectangle below is 46 units. Find the length of side PS.​

Answers

Answer:

5z-2

Step-by-step explanation:

Answer:

13 units

Step-by-step explanation:

46 = 4z + 6z - 4

46 = 10z - 4

50 = 10z

z = 5

3(5) - 2

15 - 2

13

Side PS = 13 units


Solve for the missing angle.
65
45
0 70
O 65
0 45
0 25

Answers

the first one - 70.
Why?
because a triangle has to equal to 180.
65+45=110
180-110=70
therefore the answer is, 70.

There are 62 eggs in a pile on the desk. Each egg comes in a package of 6. 6 eggs
are added to the pile. How many eggs are
there in the pile?

Answers

Given parameters:

Number of eggs in a pile on the desk  = 62 eggs

Eggs per package = 6

Number of added eggs = 6

Unknown:

Number of eggs in the pile = ?

Solution:

To find the number of eggs in the pile, simply add the original amount of eggs to that which was added;

             Number of eggs in pile  = (62 + 6)eggs = 68 eggs

Number of eggs there in the pile are 68 eggs

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