Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it is and replace it in the bag. Then you repeat this process a second time. What is the probability of picking a red marble both times?

Answers

Answer 1

Answer:

[tex]\dfrac{9}{25}[/tex]

Step-by-step explanation:

Given that the bag contains black and red marbles.

Number of black marbles in the bag = 2

Number of red marbles in the bag = 3

Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5

Let us have a look at the formula for probability of an event E, which can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(\text{First red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5 }[/tex]

Now, the marble chosen at first is replaced.

Therefore, the count remains the same.

[tex]P(\text{Second red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5}[/tex]

Now, the required probability can be found as:

[tex]P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }[/tex]


Related Questions

a. 128
b. 136
c. 153
d. 258

plz help ​

Answers

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Ty is placing CDs in boxes. There are a total of 7,200 CDs. Each box holds 90 CDs. How many boxes will Ty fill? A. 80 B. 70 C. 100 D. 90

Answers

Answer:

80 boxes.

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

Answer:

80 CDS

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

Find the value of f(x)= 3x to the power of 2 - x +23 for x=-4

Answers

Answer:

This is not a real equation

Step-by-step explanation:

You cant do it when there are multiple resudents

5
If you scale up the ratio on the left, what will you get for the unknown quantity on the right?
$155
20hours
$465
?
A) 10 hours
B 40 hours
c) 60 hours
D) 100 hours

Answers

Answer:60hours

Step-by-step explanation:

465/155×4

=60 hours

a 0.5-kg ball accelerated at 50 m/s what was the force applied

Answers

The answer will be 25n because force equals mass times acceleration

Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Answer:

∠ JHF = 69°

Step-by-step explanation:

Since HJ is a midline then it is parallel to EG , thus

∠ JHF and ∠ GEH are corresponding and congruent, then

7x + 62 = 79 - 10x ( add 10x to both sides )

17x + 62 = 79 ( subtract 62 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Thus

∠ JHF = 7x + 62 = 7(1) + 62 = 7 + 62 = 69°

Answer:

7x + 62 = 180

7x= 180 - 62

x = 118 / 7

x = 16

7 × x = 7 × 16

112 + 62 = 174

Step-by-step explanation:

HOPE ITS CORRECT..

The ratio of dogs to cats 2 to 5. If there are 20 cats, how many dogs are there?

Answers

Answer:

50

Step-by-step explanation:

2 * 10 = 20

5 * 10 = 50

therefore there are 50 dogs

What is the sum or difference?

19x3 – 13x3

Answers

Answer:

the difference is 6x³

Step-by-step explanation:

19x3 – 13x3

=6x³

Answer:

18

Step-by-step explanation:

use pemdas. multiplication comes first and you go left to right. then you subtract the products of 19*3 and 13*3

BRAINIST & 20 POINTS


*random answers will be reported*

Answers

Answer:

(0, 13)

Step-by-step explanation:

The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.

2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).

So 1 space left from the midpoint is 1-1=0.

For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.

please give thanks by clicking the heart button! :)

PLEASE HELP 60 POINTS
The table represents the linear function f(x), and the equation represents the linear function g(x).

Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.


x f(x)
0 1
2 4
4 7

g(x) = 2x + 1
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Answers

Answer: Its most likely C

Step-by-step explanation:

I think

Answer:

c

Step-by-step explanation:

c

Ava buys a book for $8.85 .she pays $10 bill.How much chang will see get?

Answers

Given:

Ava buys a book for $8.85 .

She pays $10 bill.

To find:

The amount of change she will get.

Solution:

We have,

Price of book = $8.85

Amount she pays = $10

Now,

Amount of change = Amount she pays - Price of nook

Amount of change = $10 - $8.85

Amount of change = $1.15

Therefore, she will get $1.15 as change.

Answer:

1.15

Step-by-step explanation:

- 1/2 ( -5/6 + 1/4)

Answers

Answer:

0.29166666666

Step-by-step explanation:

Answer:

0.29166666666

Your answer...

Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies. How much of the chocolate chips will she use in each batch of cookies?

Answers

Answer:

1 1/3 bags of chocolate chips

Step-by-step explanation:

If Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies, then we can say;

2 1/4 bags of cookies = 3 batches of chips

To determine how much of the chocolate chips will she use in each batch of cookies, we can say;

1 bag of cookies = x batches of chips

Equating both expressions

2 1/4 bags of cookies = 3 batches of chips

1 bag of cookies = x batches of chips

Cross multiply

2 1/4 x = 3

9/4 x = 3

9x/4 = 3

9x = 12

x = 12/9

x = 4/3

x = 1 1/3

Hence Alana will need 1 1/3 bags of chocolate chips

1) P n Q'
2) P' U (Q n R)​

Answers

what’s the question supposed to be. or is it even supposed to be a question

This week, Tori ate 600 g of cheerios cereal.
That was 150% as much cereal as she ate last
week. How much cereal did Tori eat last week?
600 g is 150% of what number?

Answers

Step-by-step explanation:

600=150%

?= 100%

crossmultiplication

=400

600g=150%x

600 is therefore 150% of 400

Katie is purchasing plates and mugs for her house.
She would like to buy at least 8 items. Plates cost
$8 each and the mugs cost $7 each, and she plans
to spend no more than $112. Write a system to
model the situation and then solve.

Answers

Step-by-step explanation:

Plate: $8 each

Mug: $7 each

Spend Limit: $112

Items Wanted: 8

Considering she wants eight items, she can split that in half and buy four of each item, plate and mug.

8 * 4 = 32

$32 for 4 plates.

7 * 4 = 28

$28 for 4 mugs.

However, if she wanted to spend all the money, she could buy a few more of each item.

What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
O (0, 0)
O (0,4)

Answers

(0,-1) is correct so b

Find a unit rate: Joel ran 1500 meters in 6 minutes, 15 seconds.

Answers

Answer:

240 metres per minute

Step-by-step explanation:

1500 / 6.25 = 240

Are these triangles similar?
Known angles in Triangle 1: 40º, 60º
Known angles in triangle 2: 80º, 40º

Answers

The Triangle are not the same
They are not similar

15 POINTS!!!
Solve the equation.

x over four – 5 = –8
A. –27
B. –12
C. –7
D. 12

Answers

x/4 - 5 = -8

=> x/4 = -8 + 5

=> x/4 = -3

=> x = -3 × 4

=> x = -12

So, answer is B. –12

B.-12

Work
x/4-5=-8
X/4+5=-8+5
x/4=-3
Then multiply both sides by 4
And you get your answer -12

Which of the following functions best describes this graph?
A. y = x^2 - 8x +18
B. y = (x+4)(x+5)
C. y = x^2 -9x +20
D. y = (x-3)(x+4)​

Answers

Answer:

C

Step-by-step explanation:

Looking at the graph, we can see the roots at two points

these are points x = 4 and x = 5

This can be written in their linear forms as;

x-4 and x-5

Finding the products of both, we have

x(x-5) -4(x-5)

= x^2 -5x -4x + 20

= x^2 - 9x + 20

The residents of a city voted on wether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there was 6856 yes votes, what was the total number of votes

Answers

Answer:

The total number of votes cast in the election was 11,141.

Step-by-step explanation:

To determine the number of negative votes in the voting, taking into account that the ratio of votes between positive and negative is 8 to 5 and that there were 6,856 positive votes, it is necessary to perform the following calculation:

6.856 / 8 x 5 = X

857 x 5 = X

4.285 = X

Therefore, there were 4,285 negative votes in the election. So, since 4,285 + 6,856 equals 11,141, the total number of votes cast in the election was 11,141.

Help!! I’ve been Stuck on this last problem

Answers

Answer:

..

x = 86

y = 94

z = 54

........

Find the equivalent expression for (x+7)(x+1)

Answers

Answer:

x^2 + 8x + 7

Step-by-step explanation:

We can see this expression as two distributive property expressions:

(x+7)(x+1) = x(x+1) + 7(x+1)

We can then expand and combine like terms:

(x^2 + x) + (7x + 7) = x^2 + 8x + 7

We have our final answer. I hope this helps! :)

2 angles are said to be complementary if their sum is what?​

Answers

Answer:

90°

Step-by-step explanation:

Complementary angles sum to 90°

Supplementary angles sum to 180°

Answer:

90°

Step-by-step explanation:[tex]\\[/tex]

An example is:

Write two truths and a lie about the graph shown below (I have no idea what they are trying to ask)

Answers

What they are asking is tell to true things about the graph. And one thing that is untrue about it. For example: Lie, The slope of this graph is 5. Truths, The graph is steep, and has a constant rate of change.

What is the volume of a pyramid that has the same base and height as this prism?
the length is 3 and the width is 3 and the height is 9

Answers

Answer:

Step-by-step explanation:

The answer is 18

Answer:

27

Step-by-step explanation:

Pls answer if u know :)

This is a very important homework and i was gone for days so idk

Answers

Answer:

Option B

Step-by-step explanation:

Slope of the line is calculated by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

We have the points ( -2 , 4) and (3 , -5) so plug in the values in the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-5-4}{3-(-2)}\\\\m=\frac{-9}{5}\\[/tex]

so the slope(m) equals -9/5

Which expression represents the phrase 17 less than three times a number

Answers

This is an algebra expression. What we do is write it down in simplest form.

1. Write down equation

= 17 - 3 x n

= 3 x n + (-17)

I hope this answer helped. Have a great day everyone!


Determine the domain of the following graph:.....

Answers

Domain: possible x values

Between -10 and 6

Solution: -10 < x < 6

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