Mathematics High School

A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;

a). With replacement
i). Both are red
ii). One is black and the other yellow

b). Without replacement
i). Both are red
ii). One is black and the other yellow ​

Answers

Answer 1

Answer:

a)i)1/16

ii)5/36

b)i)5/96

ii)20/69

Step-by-step explanation:

a) i) 6/24 =1/4

1/4*1/4=1/16

a)ii)8/24=1/3    10/24=5/12

1/3*5/12=5/36

b)i) 5/24*1/4=5/96

ii) 1/3*10/23=10/69

5/12*8/23=40/276=20/138=10/69

10/69+10/69=20/69

Answer 2

The probabilities are; 1/16, 5/36, 5/96 and 20/69

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.

a) With replacement:

i) The probability that both will be red =

6/24 =1/4

1/4x1/4=1/16

ii) The probability of getting one black and a yellow =

8/24=1/3    10/24=5/12

1/3x5/12=5/36

b) Without replacement;

i) The probability of getting both red =

5/24x1/4 = 5/96

ii) The probability of getting one black and a yellow =

1/3x10/23 = 10/69

5/12x8/23 = 40/276 = 20/138 = 10/69

10/69+10/69 = 20/69

Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ2

Related Questions

Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?

Answers

Answer:

819

Step-by-step explanation:

We solve the above question using simple interest

The formula for the total amount in a bank amount when it earn simple interest annually is:

A = P(1 + rt)

When

P = Initial amount in the account = 780

r = Simple Interest rate = 2.5% = 0.025

t = 2 years

A = 780(1 + 0.025 × 2)

A = 780(1 + 0.050)

A = 780(1 .050)

A = 819.00

The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?
6 + StartFraction 3 Over n EndFraction minus 8
6 + StartFraction n Over 3 EndFraction minus 8
6 + StartFraction 3 Over n EndFraction + 8
6 + StartFraction n Over 3 EndFraction + 8

Answers

Answer:

C

Step-by-step explanation:

Because yeahhhh

Answer:

C

Step-by-step explanation:

In function for every input there is exactly one output

Answers

Answer:

It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true

The number of miles, x, that a cross country athlete can run is represented by the inequality
x+3<15
What conclusion can be made about the number of miles?

Answers

Answer:

That the number of miles is going to be less than 15

Step-by-step explanation:

If you wanted to solve the inequality then the answer would be x<12

Can you please give me brainliest

Sarah had 36 free throw attempts during a game and made at least 75% of the free throws.

What is the greatest number of free throws Sarah could have missed during the game?

Answers

Answer:

9 free-throws

Step-by-step explanation:

75% of 36 = 27

36-27=9

She could have missed up to nine free throws

Answer:

3

Step-by-step explanation:

25% of 12 is 3. Brainliest pls :)

7x-6y=9
5x+2y=19 Solve the system using elimination.

Answers

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2

pls help meeeeee
if you can
I'll give you brainy

Answers

Answer:

x=100°, y=85°

Step-by-step explanation:

I'm pretty sure about it. If you need explanation, I'll give it later. Thank you.


P(Red Blue) =
Probability

Answers

It would be 5/48 just as they said above


MATH LOVERS PLS!!!!!!!

Answers

Answer:
7) C
8) A
9)D
10)B

Solve the following:
a) 2(5x – 3) = 24
b) 5(2x + 1) = 50​

Answers

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

What is the solution for x in the equation?

29 + 15x = -x − 3

A. x= 1/2

B. x= -1/2

C. x= 2

D. x= -2

Answers

Answer:

x=-2

Step-by-step explanation:

What is the range of the cluster in the scatter plot?

A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000

Answers

Answer:

b

Step-by-step explanation:

answer :


b


hope this helped

Neil is completing a 10 km run in 4 months’
time. His personal best for 10 km is 55 minutes
and he wants to complete this run in less than
45 minutes.

Identify the components of health-related
fitness that Neil will have to develop to try and
achieve this. Justify your choices.

Answers

Answer:

Hello There!!

Step-by-step explanation:

There are five components of physical fitness:

1. Body composition

2.Flexibility

3. Muscular strength

4. Muscular endurance

5. Cardiorespiratory endurance

I think he will have to develop Flexibility,Muscular Endurance and also Cardiorespiratory Endurance.

hope this helps,have a great day!!

~Pinky~

What is the area of the triangle?
7
5
4

Answers

which number is the height? and which number is the base?

Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please

Answers

Answer:

12.6

Step-by-step explanation:

Given

with reference angle 57°

perpendicular (p) = y

hypotenuse (h) = 15

Now

sin 57° = p / h

0.84 = y / 15

y = 0.84 * 15

y = 12.6

Hope it will help :)

use, or to compare the following numbers. -2 or 12 <>

Answers

Answer:

-2 < 12

Step-by-step explanation:

12 is bigger than -2.

Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.

Answers

69 cause if you get it

Find the value of x. ​

Answers

The triangle is equilateral, because all three angles will measure 60 degrees. This means that all three sides are equal, so:

7x + 19 = 11x - 89

4x = 108

x = 27

NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT

Answers

Answer:

60

Step-by-step explanation:

find the equation of the circle with center at (3 -2) and radius of 3.

Answers

Answer:

(x - 3)² + (y + 2)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Center (3, -2)

h = 3k = -2

Radius r = 3

Step 2: Write Equation

Substitute [EC]:                    (x - 3)² + (y + 2)² = 3²Exponents:                           (x - 3)² + (y + 2)² = 9

What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?

A. y= 3x + 1
B. y= x-3
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D. y= 2x-5


° ♡ ₒ ♡ °
thank you!

Answers

D.y=2x-5


I think, i hope this helps
The slope intercept form is y= 2x-5

Can you please mark BRAINLEST

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Answers

Answer:

5h/sr=t

Step-by-step explanation:

To get t alone basically all you do is divide 5h by s and r.

So the new equation would be 5h / sr = t

at what rate, how long will it take to go 4.5 miles

Answers

Step-by-step explanation:

they need a car to drive duhhhhh

Answer:

0.36 hours

Step-by-step explanation:

Divide 4.5 with 12.5 mph.

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Answers

Answer:

true

Step-by-step explanation:

the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place

I agree...................


4 km
3 km
What is the length of the hypotenuse?

Answers

Answer:

5

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 +3^2 =c^2

16 + 9 =c^2

25= c^2

5=c

How do I give brainliest I forgot whoever lets me know how I will give them it

Answers

You have two people answer and whoever answer you think is better you can mark them as brainliest

X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.

Answers

Answer:

The distance between X and Z is approximately 114.9 km

Step-by-step explanation:

The given parameters are;

The distance of Y from X = 75 km

The bearing of Y from X = 200°

The bearing of Z from Y = 150°

The bearing of Z from X = 180°

In triangle XYZ, we have;

∠YZX = 180° - (130° + 20°) = 30°

By sine rule, we have;

(75 km)/sin(30°) = XZ/(sin(130°))

XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km

The distance between X and Z ≈ 114.9 km. to one decimal place.

please help I need you​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Diameter x Pi = Circumference

8 x 3.14 = 25.12

Answer:

B

Step-by-step explanation:

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Answers

Answer: power of a power

Step-by-step explanation:

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I don’t get 9.) so if anyone can’t skip it I need help with 10.) too

Answers

Answer:

ok number 9.) i believe its 7 if im wrong im so sorry

Step-by-step explanation:

Answer:

I will help with 10 i don't get 9 sorry so the answer is (a) F(5,4)

Step-by-step explanation:

So you have the midpoint and you put f(x, y) and D(-3,-8)

So

E=(x-3/2, y-8/2) =(1,-2) so

X-3/2 =1 , x-3=2 so x = 5

And y-8/2 = - 2. , so y-8 = - 4. , so y =4

So F =(5, 4)

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