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Readme [11.4K]
3 years ago
5

A bag contains 6 red blocks, 4 green blocks and 2 yellow blocks. Three blocks are taken from the bag, at random, without replace

ment. Calculate the probability that all three blocks will be the same colour
Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

0.1090908

Step-by-step explanation:

Given :

R = red blocks

Y = yellow blocks

G = green. blocks

n(R) = 6 ; n(Y) = 2 ; n(G) = 4

Total blocks = 6 + 2 + 4 = 12

Probability that all blocks are of same color :

P(RRR) or P(YYY) or P(GGG)

P(RRR) = 6/12 * 5/11 * 4/10 = 0.0909090

P(YYY) = 2/12 * 1/11 * 0/10 = 0

P(GGG) = 4/12 * 3/11 * 2/10 = 0.0181818

Hence,

0.0909090 + 0 + 0.0181818

= 0.1090908

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Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
HELP ME I WILL GIVE BRAINLIEST
lozanna [386]

Answer: 42.0

Step-by-step explanation:

4 0
2 years ago
Express as a difference.
ElenaW [278]
10

b: 5+5
c: 5+5

thats thw andeer
3 0
2 years ago
The list below shows the number of medals that one nation’s team won at the Olympics.
Semmy [17]

Answer:

34:103

Step-by-step explanation:

Add up all the numbers and then put gold then : then the numbers added up

4 0
2 years ago
Read 2 more answers
For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C'
STALIN [3.7K]
If the triangles ABC and A'B'C' are similar, then 
angle A = angle A'
8x-10 = 6x+10
8x-6x = 10+10
2x = 20
x = 20/2
x = 10

So angle A is
angle A = 8x-10
angle A = 8*10-10
angle A = 80-10
angle A = 70
making that the measure of angle A' as well

This is why the answer is choice A
3 0
3 years ago
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