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

please help asap ill give brainliest

Answers

Answer:

384 ft, this is the required answer

Answer:

area of shaded part = 512 ft^2

Step-by-step explanation:

find area of rectangle

length = 32 +8

=40 ft

breadth = 8 + 8

=16 ft

area of rectangle = l*b

=40*16 ft

=640 ft

since there are two square .we should find the area of two sqaure.

length = 8 ft

area of square = l^2

=8^2

=64 ft^2

area of another square = l^2

=8^2

=64 ft^2

area of shaded part = area of rectangle - (area of square + area of square)

=640 -(64 + 64) ft^2

=640 - 128 ft^2

=512 ft^2

The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys?

Answers

Answer:

yes it does because men comes before women

Figure B is a scaled copy of Figure A.
Figure A
14
Figure B
56
16
7
64
28
What is the scale factor from Figure A to Figure B?

Answers

Answer:

4

Step-by-step explanation:

Notice each side was increased by 4 times

You can set up a ratio of

[tex]\frac{new}{old}[/tex]

then reduce or divide

A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship

Answers

Answer:

the answer would be 1/22 = x/3

Step-by-step explanation:

because 1 gallon of gasoline got him to travel 22 miles so your trying to solve for x for 3 gallons

SAT A bag contains 3 red marbles, 2 green
marbles, and 4 blue marbles. One marble is
randomly drawn and replaced. Then a second marble
is drawn. Find the probability of drawing three blue
marbles.

Answers

Answer:

[tex] \frac{1}{21} [/tex]

Step-by-step explanation:

refer to solution in picture

A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes.
Together they can fix 10 pairs of shoes in six hours. How long does it take the repairman to fix one pair
of shoes by himself?

Answers

Answer:

1/2 or 0.5 hours

Step-by-step explanation:

r = time for repairman to fix one pair of shoes.

a = time for assistant to fix one pair of shoes.

a = r×1.5

x×r + y×a = 6

x = number of pairs of shoes repaired by repairman.

y = number of pairs of shoes repaired by assistant.

x+y = 10

y = 10-x

x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)

y = 10 - y×1.5

y + y×1.5 = 10

2.5×y = 10

y = 4

=> x = 6

6×r + 4×r×1.5 = 6

6×r + 6×r = 6

12×r = 6

r = 6/12 = 1/2 or 0.5 hours

can you tell me what these are?​

Answers

Answer:

1. X-intercepts

2. Midpoint

3. Vertex

4. Y-Intercept

Step-by-step explanation:

Which function is graphed below?

Answers

Answer:

[tex]g(x)=\sqrt{x+2}[/tex]

Step-by-step explanation:

Parent function of the given graph is,

f(x) = [tex]\sqrt{x}[/tex]

If the parent function is shifted 2 units to he left the new function or image function will be,

g(x) = [tex]\sqrt{x+2}[/tex]

Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].  

13. The function y=16 cos(x)+k has a minimum value of -4. What is its maximum value? Explain.

Answers

Answer:

It's maximum value is 28.

Step-by-step explanation:

Cosine function:

The cosine function has the following format:

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

The difference between the maximum and minimum point is 2A.

y=16 cos(x)+k

A = 16, so 2A = 32.

Minimum value of -4. What is its maximum value?

[tex]M - (-4) = 32[/tex]

[tex]M + 4 = 32[/tex]

[tex]M = 32 - 4 = 28[/tex]

It's maximum value is 28.

6th grade math help me pleaseeee

Answers

The correct answer is C. 78

Answer:

i think C because both of the percentages shown should get what the question is asking

Step-by-step explanation:

You use the Internet to purchase 9 tickets for a concert The tickets are $22 each you have to play a handling fee of $3 per ticket and a shipping fee of $5 for the entire order. Use a problem solving plan to find your total cost.

Answers

Answer: $206

Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.

How do you find an equivalent rate with the bottom number (denominator) equal to 1?
PLEASE HELP DUE IN 4 MINUTES!!!!!!!!!!!!
A)Divide the denominator by the numerator

B)Divide both the numerator and denominator by 10.

C)Divide the numerator by the denominator.

Answers

Answer:

C) divide the numerator by the denominator

Step-by-step explanation:

Example

6/3=2/1

5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).

Answers

Answer:

The coordinates of the point N is (2,3)

Step-by-step explanation:

For us to find the midpoint between two points

We use the midpoint formula which is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

We start by finding the midpoint of AB to get the coordinates of the point M

A(-1,3) and B(7,-3)

(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)

Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N

C(1,6) and M (3,0)

(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Amanda works as a hostess at Red Robin on weekday nights and at the Pix movie theatre on the weekends. Amanda’s pay at Red Robin is 11.50ℎ+0.25+10and her pay at the Pix is 10.50ℎ+0.5−20. Find the polynomial that would represent Amanda’s total earnings from her two jobs.

Answers

Answer:

22h−9.25

Step-by-step explanation:

Question 7 of 10
Classify the following triangle. Check all that apply.
109
15
14
D A. Right
B. Equilateral
O C. Acute
D D. Scalene
O E. Isosceles
M F Obtuse

Answers

Answer:

A & D

Step-by-step explanation:

A. acute because all angles are less than 90 degrees

D. scale because all sides have different

if you look up the definition of the properties you will see they don't apply

Answer:

F.Obtuse angle

because the angles are between 90-180

Lucas suele gastar $150 en gaseosas al mes, pero, para cuidar su salud decidió dejar de consumir gaseosas ¿cuánto dinero a dejado de gastar en cinco meses?

Answers

Answer:

$750

Step-by-step explanation:

Primero, Lucas gastaba $150 cada mes en gaseosas.

Al decidir cuidar su salud, deja de comprar gaseosas, entonces ya no gasta esos $150 al mes.

Es decir, a dejado de gastar $150 al mes.

Nosotros queremos saber:

¿cuánto dinero a dejado de gastar en cinco meses?

Bueno, si en un solo mes a dejado de gastar $150

En 5 meses a dejado de gastar 5 veces esa cantidad, que es:

5*$150 = $750

Find the area of this triangle in square centimeters .

Answers

Step-by-step explanation:

The answer is 24 I think.

using the formula for finding the area of a triangle, which is....

Area= b times height divided by 1/2 or 2

First step is to multiply 6 which is the base by the height 8 to get 48. Then 48 divided by 2 is 24.

Step-by-step explanation:

the area of the triangle can be find by using the heron's formula...

that is:

√s-a×s-b×s-c

So,

a=8cm,b=6cm,c=10cm

Semi perimeter= 8+6+10/2=24/2=12

√12(12-8)(12-6)(12-10)

=√12×4×6×2

=√ 2×2×3×2×2×2×3×2

= √2×2×2×3

= 12 cm...


Find the volume of a right circular cone that has a height of 18.8 m and a base with a
radius of 19.3 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Step-by-step explanation:

Height of the right circular cone = 18.8 metres

And base is 19.3 metres

Volume of the right circular cylinder is given by,

= πr²h

= 3.14 × (19.3)² × 18.8

= 21999.98(approx.) cubic metre

Rounding off nearest tenth

= 21999 cubic metres

The volume of the right circular cone is 280,199.5 m³

What is a right circular cone?

'A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.'

According to the given problem,

Height = 18.8 m

Radius = 19.3 m

Volume of right circular cone = [tex]\frac{\pi r^{2}h }{3}[/tex]

                                                 = [tex]\frac{\pi * 19.3^{2} * 18.8}{3}[/tex]

                                                 = 280199.499 m³

                                                 = 280199.5 m³

Hence, we can conclude that the volume of the right circular cone is 280199.5 m³.

Learn more about right circular cone here: https://brainly.com/question/16655425

#SPJ2

Find x in circle O. Figure is not drawn to scale. HURRY PLEASE

Answers

Answer:

B. 23,5

Step-by-step explanation:

Let $z$ and $w$ be complex numbers satisfying $|z| = 5, |w| = 2,$ and $z\overline{w} = 6+8i.$ Then enter in the numbers \[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark. Don't even know where to start.

I got 49 for the first one, 100 for the second one, 9 for the 3rd one, and 6.25 for the 4th one. But it was wrong, so I don't know how to do this question.

Answers

Answer:

1st entry: 41

3rd entry: 17

Step-by-step explanation:

The 1st and 3rd entry are incorrect.

We will use the following for the 1st and 3rd:

[tex]|z+w|=|z|^2+|w|^2+2R(z\overline{w})[/tex]

[tex]|z-w|=|z|^2+|w|^2-2R(z\overline{w})[/tex]

where [tex]R(z\overline{w})[/tex] means 'real part of [tex]z\overline{w}[/tex]'.

Let's do part 1 now)

25+4+2(6)

29+12

41

Let's do part 3 now)

25+4-2(6)

29-12

17

Complete the table fraction | decimal

Answers

Answer:

1/5=0.2

0.3=3/10

1/2=0.5

7/10=0.7

3/4=0.75

What is the slope of the line? y+5=2(x+1)

Answers

Answer:

2

Step-by-step explanation:

Convert the equation to slope-intercept form:

[tex]y+5=2(x+1)\\y+5=2x+2\\y=2x-3[/tex]

Therefore, the slope of the line is 2.

Answer:

2

Step-by-step explanation:

y+5=2(x+1) will turn into y=2x-3. Then you can see that the slope is 2 because 2x is = mx and m is slope.

YALL REALLY NEED TO
HELP MEEEE
determine if the triangles are similar. Why are they similar or not similar ?
please show work

Answers

Answer:

Not similar

Step-by-step explanation:

In triangle MLN & WXY,

Right angles - > 1

There is nothing common in these 2 triangles other than (1)

Therefore,

Not similar

Joseph and Mark have $230. Joseph and Kevin have $130. Mark had 3 times as much money as Kelvin. How much money does Kelvin have?

Answers

Answer:

Step-by-step explanation:

Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is

J + M = 230. The second equation is

J + K = 130. The third equation is

M = 3K. Sub that 3K into the first equation and get

J + 3K = 230. Now take th second equation and solve it for J:

J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:

130 - K + 3K = 230 and

2K = 100 so

K = 50

Kevin has $50

Please help I’ll give brainliest

Answers

Answer:

Option A

Step-by-step explanation:

Please Mark me brainliest

Hihi , please help if able.

Answers

Answer:

Option c

Step-by-step explanation:

multiply the expression in the parentheses by 4 and you get 12x+16

a doesn't fit, x³ is x*x*x, not plus

b 14x-2x is 12x, not 16x

d got a 5x expression with no correspondence on the other side and 12x² isn't 17x²

1-x/11 [tex]1-x/11 =6\\[/tex]=6

Answers

Given:

Consider the equation is:

[tex]\dfrac{1-x}{11}=6[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\dfrac{1-x}{11}=6[/tex]

After multiplying both sides by 11, we get

[tex]1-x=66[/tex]

[tex]-x=66-1[/tex]

[tex]-x=65[/tex]

Multiply both sides by -1.

[tex]x=-65[/tex]

Therefore, the value of x is -65.

what value of x makes this preportion true? (2.12.3) (15 points)

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )

24x = 216 ( divide both sides by 24 )

x = 9 → A

Please, can I get help?

Answers

Answer:

a- 14,11

b-13,63

Step-by-step explanation:

ASAP need help confused

Answers

Answer:

b= (3z-6)/(1+3z)

Step-by-step explanation:

z=(-b+6)/(3b-3)

cross multiple

z(3b-3)=-b+6

open the bracket

3bz-3z=-b+6

make -b the subject of the formula

-b = 3bz-3z-6

-b - 3bz = -3z - 6

factorize the left hand side...

-b(1+3z) = -3z-6

make -b the subject of the formula again

-b = -(3z-6)/(1+3z)

cancel the minus at both sides...

b = (3z-6)/(1+3z)

Answer:

b = [tex]\frac{3z + 6}{3z+1}[/tex]

Step-by-step explanation:

Simply solve for "b" , so the formula will be

b = .....

z = [tex]\frac{-b+6}{3b-3}[/tex] ( b > 0 )

z(3b - 3) = - b + 6

3zb - 3z = - b + 6

3zb + b = 3z + 6

b( 3z + 1 ) = 3z + 6

b =  [tex]\frac{3z + 6}{3z+1}[/tex]

Other Questions
how many toes do cats have A book that lists words in alphabetical order. It gives the definition(s),pronunciation, and a sample sentence for each word. (dictionary)a. To entertain b. To inform c. To persuade They usually do their homework at 8.30 p.m. from M_ _ _ _ _ _ to Friday. 2. On V_ _ _ _ _ _ _ _s Day, men often give women flowers and chocolate to show their love.3. She usually comes here on T_ _ _ _ _ _ _ and Wednesdays. 4. We never work on S_ _ _ _ _ _ _ and Sunday mornings. 5. Vietnamese Independence Day is on S_ _ _ _ _ _ _ _ 2nd. 6. W_ _ _ _ _ _ _ _ is the day between Tuesday and Thursday.7. Tomorrow is Wednesday, and the day after tomorrow is T_ _ _ _ _ _ _. 8. H_ _ _ _ _ _ _ _ is celebrated in some countries on October 31st of every year. 9. You can come home on F_ _ _ _ _ and Saturday this week. 10. I have to take my library books back before J_ _ _ _ _ _ 8th. 11. Our class meeting usually takes place on M_ _ _ _ 20th. Monday12. Children usually love the Mid - Autumn festival in my country. Its on A_ _ _ _ _ 15th.13. We will learn online on the first, the second and the t_ _ _ _ of next month and we learn off-line on the tenth.14. My husband was born on the s_ _ _ _ _ _ of July in New York, America. 15. People usually go to church with their family or friends on C_ _ _ _ _ _ _ _ Eve. 16. Vietnamese I_ _ _ _ _ _ _ _ _ _ _ Day is on the second of September. II. GRAMMARExercise 1: Put the verbs in brackets in the past simple tense.1. I .. English exercises last Sunday. (do)2. I... at 11 a.m. last weekend. (get up)3. I wanted to have breakfast, but there . any coffee or bread. (not be)4. I went to the shop, but I . my car keys. (not take)5. ........your meal good? No, it wasnt. (be)6. I tried to call my neighbor, but he . (not answer)7. I went to a caf and I had a coffee, but then I saw that I . any money. (not have)8. I went back to my flat, I broke the window to get in. I .. again after that. (not go out)9. Last year, my wife and I ..(go) to Cancun, in Mexico, for a weekend. We. (not take) our children. They..(stay) with their grandparents.10. When we got back home, the children (not be) happy. They .. (have) a great time with their grandparents and they (not want) to come home. Gamble Corporation had beginning inventory $100,000, cost of goods purchased $700,000, and ending inventory $140,000. What was Gamble's inventory turnover? Group of answer choices 5 times. 5.5 times. 5.83 times. 6.6 times. A jug is 80% full of water. After 360 millimeters of water are poured out, the jug is 60% filled with water. What is the capacity of the jug?15 POINTS!! En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. S cada gallina pone un huevo cada da cuntos huevos recolectan en una semana (7 das )? A 15 cm length of wire is moving perpendicularlythrough a magnetic field of strength 1.4 T at the rateof 0.12 m/s. What is the EMF induced in the wire?A. OVC. 0.025 vB. 0.018 VD. 2.5 V . Cho S l ngoi din ca khi nim con ngi, p(x,y) = x yu thng y.1) Vit cc phn on sau y di dng cng thc:a) Nhiu ngi yu thng A. (Thay A bng chnh tn ca em).b) A yu thng nhiu ngi. (Thay A bng chnh tn ca em). The molecular formula of water is H, O. What does it express please help!!!!! give reasons to why you would want to be a TV student and do flim!! You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.What is your new balance? Which method is best suited for separating a 500 mL sample of two miscible liquids whose boiling points differ by approximately 60C? A) use of a separators funnel B) paper chromatographyC) evaporation D) distillation E) fractional distillation What is the KE of a bird, mass 40g flying at 23m/s? Plz help..How to name alcohols... Evaluate (5.7x106 kg) * (6.3x10-2 m/s2) and express the answer inscientific notation. the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initial value problem for the population p(t) as a function of time is Part A: The area of a square is (9x2 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)Part B: The area of a rectangle is (25x2 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points) Select the correct answer from the drop-down menu. Consider this system of linear equations: y x = -13 -4x + 3y = -51 The solution of the system of equations is . 1. If you receive a traffic ticket and do not pay the fine on time or do not appear as required...A. OIt is OK, because your parents are responsibleB. You can pay when you have to re-register your carC. ODMV will suspend your driving privilege until you pay the fineD. You will go to jail Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is ...