A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
i. Both are black
ii. The first is black
iii. Both are of the same colour
Given that :
a. it is without replacement
b. it is with replacement

Answers

Answer 1

Answer:

There are:

6 red balls - R5 black balls - BTotal number = 11 ballsA. Without replacement

i. Two blacks

P(BB) = 5/11*4/10 = 2/11

ii. The first is black

P(B) = 5/11

or, alternatively

P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. Both are of same colour

P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11B. With replacement

i. Two blacks

P(BB) = 5/11*5/11 = 25/121

ii. The first is black

P(B) = 5/11

or alternatively

P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. Both are of same colour

P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121

Related Questions

solve:
2×+3=5
class 7th chapter simple equation​

Answers

Answer:

x=1

Step-by-step explanation:

2x+3=5

2x=5-3

=2

x= 2÷2

= 1

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

2x = 2

x = 1

If this helps you, please mark brainliest!

Have a nice day!

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Find the volume of this cylinder.
Round to the nearest tenth.
8in
2in
[?] in3

Answers

Answer:

The answer is 100.5 [tex]in^{3}[/tex].

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = [tex]\pi r^{2} h[/tex].

Next, plug in the information given from the problem, and the formula will look like V = [tex](\pi) (2 in^{2}) (8 in)[/tex].

Then, solve the equation, and the answer will be 100.5 [tex]in^{3}[/tex].  

A positive
B negative
C none
D multiple

Answers

Answer:

Step-by-step explanation:

The letter c

Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below

Answers

Answer:

Relationship: supplementary

B = 110

Step-by-step explanation:

The two angles shown form straight line

Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles

If the angles add up to equal 180 then b + 70 = 180

Subtract 70 from both sides

b = 110

Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense

B. A precise statement of the qualities of an idea, object, or process

C. A logical arrangement of deductions that leads to the conclusion that a statement is always true

D. A statement that is assumed to be true without proof​

Answers

Answer:

D. A statement that is assumed to be true without proof​

Step-by-step explanation:

a tank is 2.7m long 5.0m wide 3.2m high how many liters can it hold when full​

Answers

Answer:

1 liter = 1,000 cubic cm.

the tank is 270 cm by 500 cm by 320 cm

270 * 500 * 320 = 43,200,000 cc =

43,200 liters =

43.2 cubic meters

Step-by-step explanation:

Write cos 29° in terms of sine.
Help pls :(

Answers

Answer:

0.48480962

Step-by-step explanation:

1. Take the sine of  29 ° .

sin ( 29 ° )

2. Evaluate  sin ( 29 ° ) .

0.48480962

Can someone help me?It's urgent and thank you!

Answers

Answer:

the first option

Step-by-step explanation:

because x^3 is exponential while ab^2 is linear

A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?

12%

10%

25%

20%

Answers

Answer:

20%

Step-by-step explanation:

When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is

[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]

Plugging our values into this formula, we get

[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.

chung minh phan so sau toi gian : 21n+4/14n+3

Answers

Step-by-step explanation:

Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i

12. In the diagram below…
What is the length of CB?
1) 3.2
2) 4.8
3) 16.2
4) 19.2

Answers

It is number 3 why beacseu if u don’t have the length them u can’t do the equation

What fraction of an hour is 45 minutes?
Give your answer in its simplest form.

Answers

Answer:

3/4

Step-by-step explanation:

1 hour is 60 minutes

45 minutes

---------------------

60 minutes

Divide top and bottom by 15

3

----

4

If the inverse of a function is also a function, then
The function is said to be ….?

Answers

Answer: Invertible

Step-by-step explanation:

If inverse of a function exists, then the function is said to be invertible. A unique value exits for each given input.

Inverse of a function can be obtained by expressing the given function in terms of y and then replace y by x.

Find the quotient.the fraction
8 1/3 divided by 4 1/2​

Answers

Answer:

[tex]8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} [/tex]

Will give BRAINLIEST to the correct answer.

Use a calculator. Round to the nearest tenth of a degree.

Given cos 0 = 0.9326, find 0.

Answers

The answer:
0=cos^-1 (0.9326)
0=21.156

Nearest tenth:
0=21.2

Help needed!! Please help me solve my problem!!!

Answers

96/2= 48

given figure is a square.the line is bisect the angel

thank you

HELP
Find the circumference of this circle
using 3 for T.
C [?]


Answers

Answer:

3

Step-by-step explanation:

3

Classify the following angles

Answers

--Answer--

1. acute

2. right

3. acute

4. obtuse

5. straight

--Explanation--

Acute angle = Greater than 0 °, Less than 90°

Right angle = 90°

Obtuse angle  = Greater than 90°, less than 180°

Straight angle = 180°

Answer:

A) Acute   B) Right     C) Obtuse      D) Obtuse      E) Flat/Straight

Step-by-step explanation:

Acute angles are angles less than 90°

Right angles are angles that are 90°

Obtuse angles are angles that are over than 90°

Flat/Straight angles are 180°

Manipulate the radius of the sphere, setting it to different values. In the table below, record each radius you chose and the exact volume of the sphere (in terms of π). Also calculate the decimal value of each volume, and verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)

Answers

Answer:

641654654

Step-by-step explanation:

Answer:

1) r=9 v=972

2) r=6 v=288

3) r=12 v=2,304

Step-by-step explanation:

Sample Answer on edmentum

In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False

Answers

Answer:

False cuase 5 is in thousands

Which radical expression, when simplified, equals -8?

Answers

Answer:

Where are the radical expressions?

Step-by-step explanation:

Factorx^2 + x - 6, asappp

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + x - 6[/tex]

➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]

Taking the factor [tex](x+3)[/tex] as common,

➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Name the marked angle in 2 different ways.

Answers

Answer:

∠XWV ∠UWV

Hope this helps! :)

Confused on how to solve this problem, please help and offer a step by step explanation

Answers

Answer:

7x+5=180

7x=175

x=25

Hope This Helps!!!

What are the domain and range of f(x) = 2|x -4|?
plz i'm in need

Answers

Answer:

Domain: (-∞, ∞)

Range: [0, ∞)

Step-by-step explanation:

The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)

The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)

Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
I need the intersection point of the lines and the equation of the line.

Answers

Answer:

[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Step-by-step explanation:

the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])

=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Answer:

[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]

Step-by-step explanation:

Find intersection of the given lines :

x - 2y = 0 => x = 2y ----------- ( 1 )

3x + y = - 5 -------------------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

                               3x + y = - 5

                               3 ( 2y ) + y = - 5

                                6y + y = - 5

                                  7y = - 5

                                    [tex]y = -\frac{5}{7}[/tex]

Substitute y in ( 1 ) :

                            x = 2y

                           [tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]

[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]

To find the equation of the line passing through ( - 3, 2) and point of intersection :

Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.

So step 1 : Find slope , m:

 [tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]       [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]

              [tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]

Step 2 : Equation of the line :

[tex](y - y _1) = m (x - x_1)\\[/tex]

[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]

A 16 ft ladder leans against the side of a house the top of the ladder is 15 Ft off the ground find x the angle of elevation of the ladder round your answer to the nearest tenth of a degree

Answers

the answer should be 69.6 :)

Answer:

Step-by-step explanation:

Use the number line to find the measure of SV please help

Answers

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

The 89 bus comes every 8 minutes. The 368 bus comes every 12 minutes. Both buses are at the same stop at 9 am. At what time will they be at the same stop.

Answers

Answer:

9:24 am

Step-by-step explanation:

89 bus = 8 minutes

368 bus = 12 minutes

Find the lowest common multiple(L.C.M) of 8 minutes and 12 minutes

8 minutes = 16, 24, 32, 40, 48

12 minutes = 24, 36, 48, 60

The L.C.M of 8 minutes and 12 minutes is 24 minutes

Both buses are at the same stop at 9 am.

The next time both buses will be at the same stand = 9 am + 24 minutes

= 9:24 am

m^(2)-n^(2)+6n-9
Please factor this out completely and help me

Answers

Answer:

m^2-n^2+6n-9

m^2-6n^2-9

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