Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:

$P(Yellow)=\frac{\text{ number of yellow balls}}{\text{total number of balls}}=\frac{4}{12}=0.33$

therefore, the probability is 0.33 = 33%

7 0

1 year ago

Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He

kotegsom [21]

Answer:

He would need to climb 480.97 m

Explanation:

The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle

Therefore, we can apply the special trig functions.

These functions are as follows:

sin(θ) = $\frac{opposite}{hypotenuse}$

cos(θ) = $\frac{adjacent}{hypotenuse}$

tan(θ) = $\frac{opposite}{adjacent}$

From the diagram, we have:

θ = 12°

The distance that he needs to climb is the hypotenuse

The altitude = 100 m is the opposite

Therefore, we can use the sin function as follows:

sin(12°) = $\frac{100}{hypotenuse}$

hypotenuse = $\frac{100}{sin(12)}$

hypotenuse = 480.97 meters to the nearest hundredth

Therefore, he would need to climb 480.97 meters

Hope this helps :)

5 0

3 years ago

Read 2 more answers