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.

To know more about probability follow

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Related Questions

1/3x − 1/3
Factored please help ;)

Answers

Answer:

1/3(x-1)

Step-by-step explanation:

1/3x - 1/3

Both terms have a greatest common factor of 1/3

1/3 *x - 1/3 *1

Factor out a 1/3

1/3(x-1)

The circumference of a circle is 9 cm. What is the diameter?

Answers

Answer: [tex]\frac{9}{\pi } \\or\\2.86[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]9=\pi d\\\frac{9}{\pi } =d\\[/tex]

$1500 at 4% for 5 years
Find the interest earned

Answers

Answer:

I=$300

Step-by-step explanation:

P=1500

r=4%=0.04

t=5 years

I=p*r*t

I=1500*0.04*5

I=300

Plz answer I'll give brainliest

Answers

Answer:

0 < x < 6

Step-by-step explanation:

triangle sides:

other sides subtracted < third side < other sides added

4-3 < x+1 < 4+3

1 < x+1 < 7

1-1 < x+1-1 < 7-1

0 < x < 6

Hope this helps :)

x² + y² = r²

3² + 4² = (x+1)²

9 + 16 = (x+1)²

(x+1)² = 25

take root for both

x+1 = ±5

x = -6

x = 4

-6

Four points are labeled on the number line.


Which point best represents 1/2??

A. Point K
B. Point L
C. Point M
D.Point N

Answers

Answer:

point M represent s a third

6.6× 0.05= 0.33=1/3


The point (-3, 2) is on the line given by which equation below?
HELPPP ME PLSSSS I NEED THIS NOWW

Answers

The answer is c. you can also check this by simply plugging in the x and y values.
In this case:
2=-3+5
2=2

Factor completely. 492 – 9 =?​

Answers

Answer:

483

Step-by-step explanation:

Answer:

483

Step-by-step explanation:

subtract 492 by 9 and it is =483

calculate the diameter of the circle

Answers

Answer:

2.64cm

Step-by-step explanation:

A = π r^2

5.5 = π r^2

1.75 = r^2

r = 1.32

Diameter is then 2(1.32) = 2.64

Answer:

2.65 cm to the nearest hundredth

Step-by-step explanation:

A = πr^2 = 5.5

r^2 = 5.5/ π = 1.5707

r = 1.3231

Diameter = 2 * r

= 2.6462.

Type the slope of the line PERPENDICULAR to y = 6x -3 *

Answers

Answer:

The slope of a line perpendicular is -1/6

Step-by-step explanation:

Perpendicular lines are opposite reciprocals so you would flip 6/1 to 1/6 and negate it. The answer is -1/6.

Indique la propuesta correcta con respecto a los instrumentos de medida: a) El Voltímetro A.C. Mide valor medio b) El Voltímetro D.C. Mide valor máximo c) El Amperímetro A.C. Mide valor medio d) El Amperímetro A.C. Mide valor eficaz c) El Amperímetro D.C. Se conecta en paralelo

Answers

Answer:

Las propuestas correctas son;

a) Voltímetro de CA Mide el valor medio

La magnitud del voltaje de corriente alterna varía periódicamente con el tiempo, dentro de un rango dado

El voltímetro de CA proporciona la lectura y, por lo tanto, mide el valor medio del voltaje, el voltaje pico o el R.M.S. valor de la tensión

b) El voltímetro de CC mide el valor máximo

Los valores de voltaje de un circuito de corriente de CC se fijan con el tiempo y, por lo tanto, el voltímetro de CC mide los voltajes máximos en el circuito.

c) El amperímetro de CA mide el valor medio

Similar a la medición de voltaje de CA, el amperímetro de CA mide el valor de corriente medio

d) El A.C. mide el valor efectivo

La raíz cuadrada media o R.M.S. valor es el valor medido por un R.M.S. Medidor de A.C.

e) El D.C. se conecta en paralelo

Todos los voltímetros se colocan en paralelo con el circuito desde el que se va a medir el voltaje.

Sin embargo, un amperímetro de CC está conectado en serie

Step-by-step explanation:

please help
easy points

Answers

Answer:

its the fortnite man can i get brainlest plsss

Step-by-step explanation:

$834 at 7.25% for 1 1/2years

Answers

You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result:
The principal was $500.
Explanation:
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months into years.

STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so


Are the following two expressions equivalent?
Explain how you know...
3(4-x)
6(x+2)-7x

Answers

Answer:

no, because the first=12-x

and the second=-1x+2

Step-by-step explanation:

Answer:

No, they are not equivalent.

Step-by-step explanation:

First, we simplify the two expressions.

3(4 - x) = 12 - 3x  We multiply everything inside the bracket by 3.

6(x + 2) - 7x = 6x + 12 - 7x = 12 - x  Using BODMAS/BIDMAS, we first multiply everything in the brackets by 6 and then simplify.

If we compare 12 - 3x to 12 - x, we can clearly notice that they aren't equivalent. If they were to be equivalent, they would have to be exactly the same values as each other. The 12 is common in both expressions, but the -3x and -x differ, therefore the following two expressions aren't equivalent.

I hope this helps!! ^-^

Find the area of AABC with A = (1,3), B = (5, 7), and
C = (6,3).

Answers

Answer:

A=L×B

A=1×3

A=3cm²

B=L×B

B=5×7

B=35cm²

C=L×B

C=6×3

C=18cm²

Ren built a birdhouse with a volume of 224 in.3 Find the height of the birdhouse.

Answers

Complete question:

Ren built a birdhouse with a volume of 224 in³ Find the height of the birdhouse. A square pyramid. The square base has side lengths of 8 inches and the height is unknown.

Answer:

the height of the birdhouse is 10.5 in.

Step-by-step explanation:

Given;

volume of the square pyramid, V = 224 in³

length of a side of the square base, a = 8 in

The volume of square pyramid is calculated as;

[tex]V = \frac{a^2h}{3} \\\\where;\\h \ is \ height \ of \ the \ birdhouse \ (Pyramid)\\\\a^2h = 3V\\\\h = \frac{3V}{a^2} \\\\h = \frac{3 \times 224}{8^2} \\\\h = 10.5 \ in[/tex]

Therefore, the height of the birdhouse is 10.5 in.

Answer:

64 and 10 1/2

Step-by-step explanation:

Does 135, 45, 15,5,represent a
geometric sequence?

Answers

Answer:

yes

Step-by-step explanation:

Each time it is divided by three!

Yes since there is a common ratio between each term.

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?

Answers

Answer: y = 10x + 30 is the correct answer

The cost of an article including 15% for taxes is ghc ghc138. What is the cost of the article without taxes

Answers

Answer:

Cost of article before tax is 120.

Step-by-step explanation:

It says cost of an article including 15% tax is 138.

So, let the cost of article without tax as 'x'

So, we can set up equation as

x+15%(x)=138

Simplify it

x+0.15x=138

1.15x=138

Divide both sides by 1.15

x=120

So, cost of article before tax is 120.

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

Does anyone know it?!

Answers

Answer:

x = 136º

Step-by-step explanation:

Answer:

x = 136º

Step-by-step explanation:

It is congruent to the angle with the measure of 136 degrees, so it will be 136.

Hope that helps!

2x and 3x are like terms



Answers

The x just represents the variables

5

A rectangular box of rice is shown below.

How many cubic inches of rice can fit inside?

5 in.

6 in

7 in.

cubic inches

Answers

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

Which of the following correctly completes the square for: x^2+2x=48

A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26

Answers

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Step-by-step explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1

please help i will mark branliest

Answers

Answer:

The correct answer is D

Step-by-step explanation:

40% of 13 is 5.2 and they only raised 4 punishment that are 96 inches

Derek decorates more cookies. He plots the point (5,10) on the coordinate plane. what is the meaning of point (5, 10)?

A. Derek decorates 5 cookies every 10 mins
B. Derek decorates 10 cookies every 5 mins

(Note that he decorates 2 cookies every minute.)

Answer needed ASAP

Answers

Answer:

A. don't know if this helps but with plotting but (x, y) the x always comes first

Answer:

A

Step-by-step explanation:

A. Derek decorates 5 cookies every 10 mins

please help with my geometry

Answers

Answer: 32.036 now round this! Good Luck :)

Step-by-step explanation:

Can someone seriously help me

Answers

Answer:

6 inches

Step-by-step explanation:

The mode is the most frequently occurring number.

The mode of Martha's Fish is 21.

The mode of Jamie's Fish is 15.

21 - 15 = 6

The mode of Martha's fish is 6 inches longer than the mode of Jamie's fish.

14 cm
6 cm
4 cm
What is the volume of the right rectangular prism?

Answers

Answer: 336

Step-by-step explanation:

Multiply all three numbers

what is the Variable in
3x + 7

Answers

the variable is x, that's all

Answer:

x is the variable

3 is the coefficient, 7 is the constant, and + is the operator.

Here's how to identify other terms:

A new truck that sells for $29,000 depreciates 12% each year.
Write a function that models the value of the truck.

Answers

Answer and Step-by-step explanation:

f(x) = [tex]29,000(0.88)^{x}[/tex]

Where x is time in years and f(x) is the amount of money the truck is worth each year.

We get 0.88 by subtracting 0.12 (aka 12%) from 1.00.

#teamtrees #PAW (Plant And Water)

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