a bag contains 3 red marbles and 4 blue marbles. a marbleis taken at random from the bag and replaced. another marble is taken rom the bag. work out the probability that the 2 marbles taken from the bag are the same colour

Answers

Answer 1

The probability that the 2 marbles taken from the bag are the same color is 25/49.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of red marbles = 3

Number of blue marbles = 4

Total marbles = 7

Now,

The probability of taking two blue marbles consecutively with replacement.

= 4/7 x 4/7

= 16/49

The probability of taking two red marbles consecutively with replacement.

= 3/7 x 3/7

= 9/49

Since the two marbles of the same color can be blue or red.

The probability that the 2 marbles taken from the bag are the same color.

= 16/49 + 9/49

= 25/49

Thus,

The probability that the 2 marbles taken are the same color is 25/49.

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Related Questions

If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?

Answers

Answer:

Step-by-step explanation:

(x+5)² = 36

x+ 5 = ±√36 = ±6

x = -5 ±6 = 1, -11

I’ll mark branliest!

2. Lindsay is financing $350,000 to purchase a house. How much money will she save over the life of a 30-
year, fixed-rate loan by buying 3 points with a rate of 6.375% instead of not buying points with a rate of
6.75%?

A. $2,596.50
B. $13,096.50
C. $20,658.00
D. $31,158.00

Answers

Answer:

D

Step-by-step explanation:

what is the slope intercept form​

Answers

y=9/4 x +5 sjhsnsjajjdj

Answer:

5.8

Step-by-step explanation:

5.8 is the correction

Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.

How many pounds of grapefruits did Eloise buy?

Answers

Answer:

6.24 pounds

Step-by-step explanation:

12 x .52 = 6.24 pounds

Answer:

The answer would be 6.24lb

Step-by-step explanation:

I took the k12 test

Kevin can travel 24 1 4miles in 1 3hour. What is his average speed in miles per hour?

Answers

Answer:

The answer is about 331 miles.

Step-by-step explanation:

I took the test and the answer is correct <3!

Answer:

deeznuts

Step-by-step explanation:

ha got tem

9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?

Answers

Answer:

8% interest rate

Step-by-step explanation:

step-by-step explanation: intrest = 484

15 metre long ladder reached the a window 12 metre height from the ground and placing it against a wall and distance a find the distance of photo of the letter from the wall​

Answers

Answer:

this is the answer of the required questions

thank you

please Mark this as brainlist answer

this is for keigo-san ^^
whats 6x3-9x=

Answers

Answer:

18-9x

Step-by-step explanation:

Answer:

18-9x

Step-by-step explanation:

Please find the measure of angle F

Answers

Answer:

98º

Step-by-step explanation:

3(x+5)+3(x+5) help! Please

Answers

Answer:

=6x+30

Step-by-step explanation:

happy to help ya :)

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Determine whether the data described in the tables is best modeled by a linear function or an exponential function

Answers

Answer:

oak tree is a linear function and birch tree is exponential

Step-by-step explanation:

cuz i just did it

The oak tree have a liner function and the birch tree have exponential function .

What is linear function?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

What is exponential function?

An exponential function is a mathematical function of the following form:

f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

According to the question

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Number of Oak trees (x)                       Number of branches  f(x)

0                                                                     34

3                                                                     46

6                                                                    59

9                                                                    70

12                                                                   82  

So in this table we can see that there is increment in number of branches but in a pattern approx.

i.e

f(x) = 34 + 4(x)

where x will be Number of Oak trees

therefore it is a Linear function

Number of Birch trees (x)                         Number of branches f(x)

0                                                                       8

10                                                                    33

20                                                                   128

30                                                                   512

40                                                                 2049  

So , in this table is increasing in a very fast pace but in a pattern approx.

i.e

f(x) = [tex]8*4^{\frac{x}{10} }[/tex]

Therefore it is an exponential function

Hence, The oak tree have a liner function and the birch tree have exponential function .

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4x^2+4x^2-20x+12y-2=0 standard form​

Answers

Answer:

4x²+4y²-20x+12y-2=0

4x²-20x+4y²+12y = 2

4(x²-5x) + 4(y²+3y) = 2

4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4

4(x-5/2)² + 4(y+3/2)² = 36

(x-5/2)² + (y+3/2)² = 9

Step-by-step explanation:

hope this helped :)

Answer:

y= -2/3x^2 + 5/3x + 1/6

Step-by-step explanation:

Solve the following equation. Show all work and check your answer: 5j=625?

Answers

Answer:

j = 125

Step-by-step explanation:

All you do is take 625 divided by 5 to get 125. Replace j for 125 to get 625 so j is equal to 125.

Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, −2).



Is this trapezoid an isosceles trapezoid?



Select from the drop-down menu to correctly complete the statement.



Trapezoid KLMN
is not
an isosceles trapezoid.

Answers

Answer:

Yes, the trapezoid is an isosceles trapezoid.

As the diagonals of the trapezoid KLMN are not equal in length it is not an isosceles trapezoid.

What is the area of a trapezoid?

The area of a trapezoid is the average length of the parallel sides times the height.

We know isosceles trapezoids have equal legs length and diagonals are also of the same length.

Given a trapezoid KLMN with verticies  K(1, 3), L(3, 1), M(3, 0), and N(1, −2).

∴ KM and LN are two diagonals of the trapezoid and if KM = LN then it is an isosceles trapezoid.

To determine if KM and LN are equal or not we'll simply use the distance formula which is,

D = [tex]\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}[/tex].

∴ KM = [tex]\sqrt{ (3 -1)^2 + (0 - 1)^2}[/tex].

KM = [tex]\sqrt{ (2)^2 + (-1)^2}[/tex].

KM = [tex]\sqrt{5}[/tex].

And LN = [tex]\sqrt{ (1 -3)^2 + (-2 - 1)^2}[/tex].

LN = [tex]\sqrt{ (-2)^2 + (-3)^2}[/tex].

LN = [tex]\sqrt{ 4 + 9}[/tex].

LN = [tex]\sqrt{13}[/tex].

∴ KM ≠ LN hence diagonals are not equal.

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factors of -135 that equal to -7

Answers

Answer:

Need more information.

Step-by-step explanation:

9 - x < -11 lololol help

Answers

Answer:

Hey! Your answer is , x >20

Step-by-step explanation:

Hope this helps! :)

Have a nice day!

What is the value of x?

Answers

Answer:

x = 22

Step-by-step explanation:

hope I helped!!

23. I hope this helps sorry if it doesn’t ❤️

A rectangular path 60m and 3m is covered with square tiles of 25 cm. How many tiles wil be used to cover the path ?

Answers

Answer:

2880 tiles

Step-by-step explanation:

A rectangular path has dimensions 60 m and 3 m.

Area of a rectangular path = length × breadth = 60 × 3 = 180 [tex]m^2[/tex]

Use [tex]1\,m^2=10000\,cm^2[/tex]

So,

Area of a rectangular path = 180(10000) = 18,00,000 [tex]cm^2[/tex]

Side of a square tile = 25 cm

Area of a square tile = side × side = 25(25) = 625 [tex]cm^2[/tex]

Number of square tiles = Area of a rectangular path ÷ Area of a square tile

= [tex]\frac{1800000}{625} =2880[/tex] tiles

9) 5xy+10x ??????????????????

Answers

Answer:

5x(y+2)

Step-by-step explanation:

Answer:

You cannot add them because they both don't have the same like terms.

But if you just straight out add your answer would either be 15xy or just 15x

Step-by-step explanation:

Sorry hope this helped in someway

DONT DO PART C you do not need to do that one i only need help on A and B please.

Answers

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x - y = 5 → (1)

4x + y = - 10 → (2)

Rearrange (1) expressing y in terms of x

(a)

y = x - 5 → (3)

Substitute y = x - 5 into (2)

4x + x - 5 = - 10

5x - 5 = - 10 ( add 5 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into (3) for corresponding value of y

y = - 1 - 5 = - 6

(b)

As a check

Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution

(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True

(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True

Thus solution is (- 1, - 6 )

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer:

(2, 0)

Step-by-step explanation:

Given the simultaneous equation

2x-y = 4

3x+y = 6

Add both equation

2x+3x = 4 + 6

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From1 ;

2x-y = 4

2(2) - y = 4

4 - y = 4

y = 4-4

y = 0

Hence the solution to the system of equation is (2, 0)

What is the length of AB?​

Answers

Answer: 6 units

Step-by-step explanation:

I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Answer:

AB = 38.64 m

Step-by-step explanation:

[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]

AB = 38.64 m

Aşağıdaki parçaların hangisinde öyküleyici bir anlatım vardır

A)Kitap; noktalama işaretleri ile ilgili çeşitli tespitlere tespitlerden sorunlara sorunlardan çözümlere çö-



9.SINIF SALLAMAYIN DEVAMI FOTODA​

Answers

Answer:

I would love to help, Could you put the question in EnglisStep-by-step explanation

HELP ASAP
Will GUVE BRAINLIEST!!

Jayla and Brian are both selling cookie dough for a fundraiser. Although, Jayla has already sold 4 tubs, brian haven’t sold any yet. If jayla starts selling 1 Tun per day and brian begins selling 2 tubs per days, they will eventually sell the same amount of cookie dough, how many days will that take?

Write the expression. And solutions written as an ordered pair.

Answers

Answer:

cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.

Answer:

4 days

Step-by-step explanation:

If we say d = number of days passed, j = tubs sold by jayla and b = tubs sold by brian

j = 4 + d

because when d = 0 j must equal 4, then it goes up by 1 each day

b = 2d

because when d = 0 b must be 0, then it goes up by 2 each day

set them to be equal and solve for d

4 + d = 2d

d = 4

so after 4 days they sell the same amount which is 8

please help will mark braileist

Answers

Answer:

EG

Step-by-step explanation:

A square has an area of approximately 500 square feet. Which of the following would be the most reasonable estimate of the length of the side of the square?

Answers

Answer:

22.36

Step-by-step explanation:

22.36 X 22.36 =(Approx) 500 feet2

There are 50 students in a class and their annual result is presented in the following table:
Result
fail , 7 students
pass, 43 students


If a student is selected at random find the probability that the student has passed the examination.

Answers

It is a 1.16% chance the student failed- it is a 98.94% one passed 6/7 passsd- there is a 98.94% probablility it passed!

choose the graph that solves system of equations.y=2x-6 y=-4x+3

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

What is the NPV of (x-5)

Answers

Np is = to positive 5

How to solve this system of equations?

y = 7x + 10
y = -4x - 23

x=
y=

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x = - 3, y = - 11

Step-by-step explanation:

Given the 2 equations

y = 7x + 10 → (1)

y = - 4x - 23 → (2)

Substitute y = 7x + 10 into (2)

7x + 10 = - 4x - 23 ( add 4x to both sides )

11x + 10 = - 23 ( subtract 10 from both sides )

11x = - 33 ( divide both sides by 11 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(- 3) + 10 = - 21 + 10 = - 11

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