There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?

Answers

Answer 1

Answer:

15/28

Step-by-step explanation:

There are 3 blue, 5 red and the total of 8 marbles.

Two different colored marbles are:

blue, then red or red, then blue

Find the probability of each case:

P(b, r) = 3/8*5/7 = 15/56P(r, b) = 5/8*3/7 = 15/56

Required probability is:

P(different color) = 15/56*2 = 15/28
Answer 2

Answer:

15/28 is the probability of getting 2 that are different in colour.

Step-by-step explanation:

3 blue and 5 red marbles

He is going to pick any marble, in second try, it must be a different colour marble.

total marble: 3 + 5 = 8 marbles

For blue marble:

In first try for blue marble: 3/8

total marble will decrease by 1, 7 marbles.

second try for red marble: 5/7

probability then: 5/7 *  3/8 = 15/56 is the probability for blue marble.

For red marble:

In first try for red marble: 5/8

total marble will decrease by 1, 7 marbles.

second try for blue marble: 3/7

probability then: 5/8 * 3/7 = 15/56

**

total probability of getting different in colour:

15/56 + 15/56

15/28  **


Related Questions

If you spin the spinner 55 times, what is the best prediction possible for the number of times it will land on pink? (WORTH 30 POINTS)

Answers

Answer:

45 times

Step-by-step explanation:

There are nine pink sections and 11 sections total. The probability of landing on a pink section is 9/11.

Multiply the probability by 55

[tex]\frac{9}{11}[/tex] × [tex]\frac{55}{1}[/tex]

Cancel the 11 and 55. The 11 becomes a 1 and 55 becomes a 5

[tex]\frac{9}{ 1}[/tex] × [tex]\frac{5}{1}[/tex]

45

A hungry elf ate 28 of your muffins. That was 7/8 of all of them! With how many did you start?

Answers

Answer:

32

Step-by-step explanation:

28 / 7 = 4

4 * 8 = 32

Double check your answer:
28/32 = 7/8

ALL GOOD!

Find the second term of the binomial expansion (a-1)^3

Answers

Answer:

[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]

What is the slope of the line on the graph below?

Answers

Answer:

2

Step-by-step explanation:

6. Find the value of x.
I 5x+ 2
6x + 4
122 - 4
H
J P

Answers

Step-by-step explanation:

sum of two interior angles is equal to one exterior angle....this implies that,

(6x+4) +(5x+2)= 12x-4

11x+6=12x-4.......make X the subject

11x-12x=-4-6

-x= -10......divide both sides by -1

x=10

Sun Valley High School is trying to raise money for their band program. Nike and Adidas are both willing to sponsor their 5k walk/run using different financial plans. Nike promises to double the amount of money they contribute every kilometer, and will start with a $4 donation. Adidas promises to start with a $30 donation and will add $10 for every kilometer.

Which statement best describes which plan Sun Valley High School should choose and why?

A) Adidas starts off being the better plan because they contribute more at the start, but Nike ends up giving twice as much money as Adidas.

B) Nike is the better plan because they end up giving more total money since they are doubling.

C) Adidas ends up with a total of $80, but Nike only contributes $64, so Adidas is the better plan.

D) Adidas is the better plan because adding patterns are always better than doubling patterns.

Answers

Answer:

B because the more kilometers that they walk they will give 4 dollars but also double the money they contribute

Step-by-step explanation:

hope this helps if I'm wrong please notify me and I will help  

╱╱┏╮

╱╱┃┃

▉━╯┗━╮

▉┈┈┈┈┃

▉╮┈┈┈┃

╱╰━━━╯

is this correct? i added them together to simplify it. (will give brainliest if theres an early response)

Answers

Answer: I think the answer is 5.3x + 1.7

Lena is a software salesperson. Her base salary is $1800 and she makes $50 more for every copy of English is Fun she sells. Her total pay, P (in dollars), after selling c copies is given by the following.

P=50c+1800

1. what is the Lenas total pay if she sells 25 copy's?

2. If lenas total pay is 3500 how many copys did she sell?

Answers

1. Lenas total pay if she sells 25 copy is $3050.

2. The copy sold is 34.

What is the Lenas total pay if she sells 25 copy's?

From the information given, Lena is a software salesperson. Her base salary is $1800 and she makes $50 more for every copy of English is Fun she sells.

It should be noted that the total pay, P after selling c copies is given by:

P = 50c + 1800

c = number of copies

The pay for 25 copies will be:

P = 50c + 1800

P = 50(25) + 1800

P = 1250 + 1800

P = 3050

When lenas total pay is 3500 the copys did she sell will be:

50x + 1800 = 3500

Collect like terms

50x = 3500 - 1800

50x = 1700

Divide

x = 34

The copy is 34.

Learn more about equations on

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A rectangle has a length of 10 inches its width is 6 inches what is the area of the rectangle?

Answers

L=10inB=6in

Area:-

[tex]\\ \tt\longrightarrow LB[/tex]

[tex]\\ \tt\longrightarrow 10(6)[/tex]

[tex]\\ \tt\longrightarrow 60in^2[/tex]

Answer:

Length of rectangle= 10 inch

Breadth of rectangle= 6 inch

Area of rectangle= L X B

= 10X6

= 60 sq. inch

Please mark as Brainliest

There are 12 cookies and 4 friends what fraction of the cookies will each friend get?

Answers

Answer:

1/4

Since there are 4 friends and 12 cookies, assuming they divide them equally, each friend gets 12/4=3 cookes and so the fraction would be 3/12 which would simplify to 1/4.

You're welcome! Please mark me as Brainliest >w<

[tex]\huge\textbf{Hey there!}\\\\\huge\boxed{\mathbf{Equation: \dfrac{4\ friends}{12\ friends}}}\\\\\\\huge\boxed{\mathbf{= \dfrac{12\ cookies}{4\ friends}}}\\\\\\\huge\boxed{\mathbf{= 4\ friends\div 12\ cookies}}\\\\\\\huge\boxed{\mathbf{= \dfrac{4\div4\leftarrow friends}{12\div4\leftarrow cookies}}}\\\\\\\huge\boxed{= \mathbf{\dfrac{1}{3}\ in\ all}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{3}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{ your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

9.41 x 4.8 with the work pls .

Answers

Answer: 45.168

Step-by-step explanation:  First find 941 x 48 = 45168 then put the decimal point at the thrid digit as the decimal in 9.41 is in the 2nd digit and 1st in 4.8 so 2 + 1 = 3 so the answer is 45.168

                                                       

                                                                 

80% of the astronomy club members own a telescope. If 20 students own a telescope, how many students are in the astronomy club in all?

Answers

Answer:

25 students

Step-by-step explanation:

Let x represent the amount of students in the astronomy club then:

80%x=20

Convert 80% to a fraction. Any percentage is that number over 100:

[tex]\frac{80}{100}x=20[/tex]

Simplify the fraction:

[tex]\frac{8}{10}x=20[/tex]

[tex]\frac{4}{5}x=20[/tex]

Multiply both sides by 5:

[tex]4x=100[/tex]

Divide both sides by 4:

[tex]x=25[/tex]

There are 25 students in the astronomy club.

Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 StartFraction x cubed Over 2 EndFraction 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x Over 4 EndFraction StartFraction x cubed Over 2 EndFraction 1 1 – 2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction.

Answers

Answer:

the correct answer is B

Step-by-step explanation:

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

Answer:

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 aka B

Step-by-step explanation:

Can someone please help me? i will give brainliest!!!

Answers

Answer:

Step-by-step explanation:

Area of parallelogram = bh
=> The height = 108 : 9 = 12 ft

The length of the rug is less than the height of the parallelogram : 10 < 12
The width of the rug is also less than the base of the parallelogram : 6 < 9

So, the rug will fit in the room


:D

Which equation can be used to represent the statement? Sixteen is the same as one and two-tenths times a number added to negative 8. 16 1. 2 n = negative 8 16 1. 2 n = 8 16 = 1. 2 n (negative 8) 16 = negative 1. 2 n 8.

Answers

The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

[tex]16=1.2n+(-8)[/tex]

How to write algebraic equation from statement?

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

Given information-

The given statement is  'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]

Thus the equation can be used to represent the given statement is,

[tex]16=1.2n+(-8)[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book? StartFraction 5 Over 121 EndFraction StartFraction 6 Over 121 EndFraction Five-elevenths Six-elevenths.

Answers

Answer: c . 6/121

Step-by-step explanation: 100% on edge

The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Probability

Given:

Beginner book=2

Intermediate book=6

Instructional piano books=11

Advanced books=3

Hence:

Probability=(2×3)÷(11×11)

Probability=6/121

Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Learn more about probability here: https://brainly.com/question/24756209

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If the colours of the alphabet smell dusty how many elephants with one tusk are located in canada?

Answers

Answer:

Approximately twenty-three and a half.

The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entries 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x 2? 3x – 2 3x – 1 3x 1 3x 2.

Answers

Factors of a polynomial can divide it without leaving remainder. The other factor of [tex]6x^2 - 7x + 2[/tex] is given by Option D :  [tex]3x + 2[/tex]

How to factorize a polynomial?

Let the  polynomial A(x) has one factor f(x).

Then, it means, we have:

[tex]\dfrac{A(x)}{f(x)} = g(x)[/tex]

Thus, A(x) can be written as [tex]A(x) = f(x) \times g(x)[/tex]

Thus, the other factor of that polynomial is

[tex]g(x) = \dfrac{A(x)}{f(x)}[/tex]

For given case, the polynomial [tex]A(x)[/tex] is

[tex]A(x) = 6x^2 - 7x + 2[/tex]

Its one factor f(x) is given [tex]f(x) = 2x - 1[/tex]

Thus, its second factor is obtained as:

[tex]g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)[/tex]

Thus, the second factor of the given polynomial is

Option D :  [tex]3x + 2[/tex]

Learn more about factors of polynomials here:

https://brainly.com/question/16078564

Which one of the following rules describe this transformation?​

Answers

Answer:

B

Step-by-step explanation:

When you reflect across the x-axis, the x coordinate stays the same, but the y coordinates changes signs.

Help me pls look at the image 20 points

Answers

288 ft*2
hope this helps!!

HELP QUICK!! PLEASE HELP!!! PLEASE PLEASE

Answers

Answer:

A.) Y= 8
B.) X= 9

Step-by-step explanation:

I noticed that the equation is x4 because 4x4= 16 and 5x4= 20.
So, I multiplied 4x2 to get 8 and divided 36/4 to get 9.

what is 2 1/7 divided by 1 1/4

Answers

Answer:  32/35

Step-by-step explanation:

reduce the expression , if possible , by cancelling the common factors

In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp

Answers

Answer:

ok so basically 21

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

31 /150

Decimal Form: 0.206

It takes 8 men to complete a job in 20 hours. How many hours will 5 men take

Answers

Answer:

Well first we find out how many hours 1 man takes

So we say

Unknown. ×given

Known

20 divided

8. × 1

=2,5 hr/1 man

Then we multiple the wanted man by the single hour man

5 ×2,5

=12,5 hrs

Hope this answer helps

12.69 hours as the perfect gift for anyone who is interested in the new glass vases are available for gifts for the price of table items

Factor by Grouping:
8x²+12x+2xy+3y

Answers

Answer:

(2x +3) (4x +y)

Step-by-step explanation:

refer the image

HELP Please I BEGGING YOU

Answers

8/5=x/16

=5x=128

x=25.6

it is b answer

7/10=x/12

10x=84

x=8.4

it is a answer

Can someone answer this questions please :))

Answers

Answer:

Answer is the second one( -1/2)

And here’s the second pic for the Brainly

Answers

Answer:

  3a³ -20a² +16a -24

Step-by-step explanation:

4.

Unlike the other problems shown here, this one requires you combine like terms.

  = a(3a² -2a +4) -6(3a² -2a +4)

  = 3a³ -2a² +4a -18a² +12a -24

  = 3a³ -20a² +16a -24

12 and 3000 as decimals full equation

Answers

Answer:

12=0.12x100

3000=0.3x10000

PLEASE HELP DUE AT 11:59 For the inequality, find two values for r that make the inequality true: -5x<2
A. -2
B. 3
C. -5
D. -6
E. 5

Answers

Answer:

b,e

Step-by-step explanation:

-5x -2= 10 false

-5x3=-15 true

-5x-5=25 false

-5x-6=30 false

-5x5=-25 true

[tex]\large\textbf{Hey there!}[/tex]

[tex]\mathbf{-5x < 2}\\\\\huge\textbf{DIVIDE -5 to BOTH SIDES}\\\mathbf{\dfrac{-5}{-5} < \dfrac{2}{-5}}\\\huge\textbf{CANCEL out: }\huge\boxed{\mathbf{\dfrac{-5}{-5}}}\huge\textbf{ because it give you 1}\\\huge\textbf{KEEP: }\huge\boxed{\mathbf{\dfrac{2}{-5}}}\huge\textbf{ because it help what is being}\\\huge\textbf{compared to the x-value}\\\large\textbf{NEW EQUATION: x }\mathbf{ > \dfrac{2}{-5}}\\\\\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\huge\textbf{Thus, your answer is: \boxed{\mathsf{x > - \dfrac{2}{5}}}}\huge\checkmark[/tex]

[tex]\large\textbf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]
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