The probability that the coin shows tails and is the number 2

Mathematics

2 answers:

kodGreya [7K]2 years ago

6 0

Answer:

50%

Step-by-step explanation:theres only 2 sides on a coin

Vlada [557]2 years ago

4 0

Answer: 50% , as likely as not .

Step-by-step explanation:

The probability of a 2 on the die is 1/6. The probability of a heads on the coin is 1/2. That means that (on average) half the time you roll a 2 you'll also get heads and the other half you'll get tails. What's half of 1/6?

The possibilities are:

1H 2H 3H 4H 5H 6H

1T 2T 3T 4T 5T 6T

So, it's 1/12 that you'll get a 2 and heads (on average).

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

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Simplify x = cos[2 arcsin(3/5)]. -7/25 7/25 4/5

Marina CMI [18]

Answer:

7/25

Step-by-step explanation:

Let $\theta= \arcsin(\frac{3}{5})$ so we have $x=\cos(2\theta)$

As $\cos(2\theta)=\cos^2\theta-\sin^2\theta$ , we'll have $\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2$

To determine $\cos(\arcsin(\frac{3}{5}))$ , construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since $\theta=\arcsin(\frac{3}{5})$ , then $\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}$ . If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, $\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$ . This means that $\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}$ .