A bag contains 24 discs.
8 are red and 16 are blue.
One disc is taken out at random and replaced by two of the other colour.
Another disc is then taken out at random and replaced by two of the other colour.
Another disk is taken out at random
Work out the probability that all three discs are taken out red

Answers

Answer 1

Answer:

Step-by-step explanation:

8/24 are Red

Pick and return 2

So it will be 7/25

Again pick and return 2

Then it is 6/26

Now multiply the results

8/24 × 7/25 × 6/26 = 7/ 325

Answer 2

The probability that all three discs are taken out of red will be 7/ 325.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a bag contains 24 discs. 8 are red and 16 are blue. One disc is taken out at random and replaced by two of the other colour. Another disc is then taken out at random and replaced by two of the other colour.

The probability will be calculated as,

Red = 8/24

Pick and return 2 it will be 7/25

Again pick and return 2 then it is 6/26

Now the overall probability will be,

P = 8/24 × 7/25 × 6/26 = 7/ 325

Therefore, the probability that all three discs are taken out of red will be 7/ 325.

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Related Questions

Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.

Answers

The final statement is: Area of triangle is equal to 83.65 cm²

What is the Area of a Triangle?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm

Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm

Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]

                                 =[tex]\sqrt{6998.401}[/tex]

                                  =83.65 cm²

Hence, The area of the triangle is equal to 53.65 cm²

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Which expression is equivalent to if no denominator equals zero

Answers

Answer:

B (1/x^2 - 4x + 3)

Step-by-step explanation:

You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.

The result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

Given the expression;

[tex]\frac{x+3}{x^2-2x-3} + \frac{x^2+2x-3}{x+1}[/tex]

Factorize the quadratic function in the expression to have:

[tex]=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}[/tex]

Hence the result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

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What is categorical data

Answers

Answer:

Categorical variables represent types of data which may be divided into groups. It can not measure.

Step-by-step explanation:

Need help please! I added a picture for the question need help ASAP!

Answers

Answer:

36%

Step-by-step explanation:

Tried it with 100 as a base and got to 36. Should be right :)

Answer:

He had not sold 90%

Step-by-step explanation:

make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%

question is in picture i forgot how to do this and my sister is working on it rn anyone help?

Answers

Answer:

it's A.

Step-by-step explanation:

so basically an open circle means < or >

a closed circle (the filled in one) means greater/least than or equal to

the sign > with an equal sign under it

hope this helps I forgot too for a minute lol

If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am

Answers

Answer:

12am

Step-by-step explanation:

Add 6 hrs to 6pm, you will get 12am

Answer: 12

Step-by-step explanation:

the product of two and a number, divided by five

Answers

Answer:

10

Step-by-step explanation:

2×5=10.

10÷2=5

That should be the answer.

Rewrite as a product of two factors: 3 + 18d + 21y​

Answers

Answer:

[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:factoringlet's solve:

in the following expression

everytime 3 is common

(3×1)+(3×6d)+(3×7d)

therefore if you take 3 from every expression we get

3(1+6d+7y)

which is a product of two factors

Please help me with this.

Answers

Answer:

105

Step-by-step explanation:

please help!!
Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

2(8x) = 64

x = 4

X
Review -
Bookmark
of 15
Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?

Answers

Answer:

He would be making 544.8$ each week

Step-by-step explanation:

PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?

Answers

Answer:

C

Step-by-step explanation:

Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅

We come up to the conclusion of C

PLEASE HELP ASAP

Two lines intersect in the figure.
What is the value of x?

Answers

Answer:

x=17°

Step-by-step explanation:

5x+6=91 (vertically opposite ∠'s equal)

5x= 91-6

5x= 85

x= 85/5

x= 17°

Simplify the expression. Explain each step.
5.3 + (W + 1.2)

Answers

5.3 + (w+1.2)

Remove the parenthesis because there’s no distribution involved...

5.3+w+1.2

Add 5.3 and 1.2

(5.3+1.2)+w

6.5+w


Your answer is *6.5+w* the number does not have a variable (w) so we cannot solve any further ^^




In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree

Answers

Answer:

11.2

Step-by-step explanation:

The answer is 11.2 degree

There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?

Answers

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins


What are word problems?

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimming

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

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The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Answers

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7


2y +3<11
What is the largest value of y could be?

Answers

the greatest value of y is 2y+3=11 => y=4

Answer:

Step-by-step explanation:

2y + 3<11                       Subtract 3 from both sides

2y < 11 - 3

2y < 8                           Divide by 2

2y/2 <8/2                  

y < 4

The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.

For example 3.8 is a possible answer. Try it

2*3.8 + 3 < 11

7.6 + 3 < 11

10.6 < 11

But is that the largest value possible? No.

For example

y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.

I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.

An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.

Answers

Answer:

The crow eats more food per day.

Step-by-step explanation:

eagle eats 1 pound per day.

crow eats 3 pounds/2 days -> 1.5 pounds per day

1.5 > 1

The crow eats more because the eats 3/2 food per day and the eagle eats 1 pound per day. And 3/2= 1 1/2

Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5

Pls help

Answers

Step-by-step explanation:

babababababababbababavavabababababa

50 points. Can someone draw me the diagram.
If someone can draw it for me I'll be able to finish the rest myself. I'm just confused about what it is I'm supposed to draw. The directions are in the picture.

Answers

Answer:

*screenshot

Step-by-step explanation:

I tried my best drawing digitally

mathematical literacy
[tex]79 \times 85[/tex]

Answers

Answer:

6715

Step-by-step explanation:

I hope this helps, :)

Ayyy bro so it’s 6715, you could of done this On a calculator

Nigel has 66 pens kat has 1/3 of the number of pens Nigel have calculate the number of pens that have altogether

Answers

If Nigel has 66 pens and Kat has 1/3 pens of Nigels than you would have to find 1/3 of 66 which is 22
Then you would add 66+22=88
They have 88 pens altogether


Hope this helps :)

Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip

A. 4+x<320

B.4x < 320 (btw they have like a dark line under the < yk)

C.4x > 320 (they have a dark line in the bottom of >)

D. 4+ x > 320

Answers

A. Maybe or D. I think one of this but I’m not sure hope you get the answers soon

HELLLL I’ll give Brainlist

Answers

Helium if I was you I would have chooses helium haha

If an object is projected upward with an initial velocity of 64ft per second from ground level, then its height in feet t seconds after it is projected is a function defined by: h(t)= -16t^2 + 64t. how long after it is projected will it be 48 feet above the ground?

Answers

Answer:

not sure

Step-by-step explanation:

ilgram surveyed both a panel of Yale undergraduates and a panel of psychology professors before he conducted his original experiment. In these surveys, he found that __________.most people predicted that less than 1 percent of participants would go to 450 voltsmost people predicted that less than 10 percent of participants would go to 450 voltsmost people predicted that a majority of participants would go to 450 voltsstudents underestimated the percentage who would go all the way to 450 volts, while professors' estimates were fairly accurate

Answers

Answer:

The answer is "Choice A"

Step-by-step explanation:

Please find the numbering of the question in the attached file.

Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.

Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16

Answers

Answer: center is (9, -4)

Step-by-step explanation:

Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.

Answers

Answer:

$4242

Step-by-step explanation:

Given data

Principal=  $14000

TIme = 4 years

Rate= 6.85%

Let us find the final amount A

A=P(1+r)^t

substitute

A=14000(1+0.0685)^4

A=14000(1.0685)^4

A=14000*1.303

A=$18242

Hence the interest is

Interest= Final amount-Principal

=18242-14000

=$4242

w3=24
Question 4 options:

w = 8


w = 72


w = 12


w = 6

Answers

The answer is w=8.....

Answer:

w=8

Step-by-step explanation:

i took the k12 test