$= \frac{\sin(2 \alpha ) + \cos(2 \alpha ) - \cos(6 \alpha ) }{ \sin(4 \alpha ) + 2 { \sin }^{2} \alpha - 1} \\ = \frac{ \sin( - 270) + \cos( - 270) - \cos( - 810) }{ \sin( - 540) + 2 { \sin }^{2}( - 135) - 1 } \\ = \frac{1}{ - 2} \\ = - 0.5$

5 0

2 years ago

Spin a spinner numbered 1 to 5 and toss a coin. What is the probability of spinning an odd number

Sphinxa [80]

Answer:

The correct answer is B. 3/10.

Step-by-step explanation:

1. Let's calculate the probability of spinning an odd number:

We can spin an odd number (1, 3 or 5) out of 5 events, it means that the probability of spinning an odd number is:

3/5

2. Let's calculate the probability of getting tails on the coin:

We can toss a coin and get tails one out of 2 events, it means that the probability of getting tails on the coin is:

1/2

3. These are independent events because the fact that we spin an odd number does not affect the probability of getting tails on the coin, thus:

Probability of spinning an odd number and getting tails on the coin =

3/5 * 1/2 = 3/10

The correct answer is B. 3/10

5 0

3 years ago