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2 years ago

You roll two fair dice, a green one and a red one.

Mathematics

1 answer:

olga_2 [115]2 years ago

3 0

Answer:

(a) yes

(b) 1/36

(d) 1/18

Step-by-step explanation:

(a) yes they are independent as the outcome of one does not affect the outcome of the other.

(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(1 on green die) = 1/6

P(2 on red die) = 1/6

Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36

P(2 on green die) = 1/6

P(1 on red die) = 1/6

Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36

(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)

= 1/36 + 1/36

= 2/36

= 1/18

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3 years ago

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baherus [9]

Answer:

The value of x is 2.

Step-by-step explanation:

First, you have to make the left side into 1 fraction by making the denorminator the same :

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3 years ago

4) Jacqueline, Hanry, and Stanley bought a pizza pie to share for dinner. Harry ate

fenix001 [56]

Answer:

1/8

Step-by-step explanation:

ok so before i start i wanna say that this is gonna get confusing.....

Since the pizza is a whole quantity let us take it as 1.

Harry ate half of the pizza therefore the fraction that Harry ate = 1/2 of 1

= 1/2 × 1 = 1/2

Therefore fraction Harry ate = 1/2

Fraction of pizza left = 1 - 1/2 (LCM = 2)

= 1/2

Jacqueline ate 1/2 of what was left.

So, Fraction of pizza Jacqueline ate = 1/2 × 1/2 = 1/4

Therefore fraction of pizza left after both Harry and Jacqueline ate =

1 - (1/2 +1/4) = 1 - 3/4 (LCM = 4) = 1/4

Therfore fraction of pizza left = 1/4

Stanley ate 1/2 of what was left.

So, fraction of pizza Stanley ate = 1/2 × 1/4 = 1/8

Therefore, fraction of pizza left after all three of them ate =

1 - (1/2 + 1/4 + 1/8) = 1 - 7/8 (LCM = 8) = 1/8

I hope this helps .......i know this is rlly confusing but i dont know how else to put it : )

Have a nice day!

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3 years ago

He following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the

mr_godi [17]

The distance between the boat and the ocean's floor is 19m

<h3>How to get the distance from the ship to the ocean's floor?</h3>

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

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2 years ago

Quick help with math please? 50 points.

Elden [556K]

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this is the answer to this

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3 years ago

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