Abag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. what is the theoretical probability of pulling a white marble from the bag?
1. 4/25
2. 6/19
3. 4/21
4. 6/25

4 yellow, 6 red, 5 blue, 6 white, 4 black...total = 25

P(white marble) =  favorable outcomes / total outcomes = 6/25 <==

Hello! To find the probability, first we add up all the marbles together since each one has a chance of being chosen.

4 + 6 +5 +6 +4 = 25

So, we can get rid of 2. and 3. since both do not have "25". Why can't "19" and "21" be possible? Because if all the marbles are within this bag, it's impossible to say each and every marble doesn't have the same equal chance of being chosen. It's only when we're talking about a certain group of objects being chosen to we dive deeper into the probability and percentages.

Next we try to find what is the probability of choosing a white marble; so we look for how many white marbles are within the 25 to find that there are 6. This means answer 4. is correct since it says 6/25, showing the amount of what object you're aiming to choose within the other 19 objects which together equal 25.

The formula used will be:

tan 42° = y/115

Step-by-step explanation:

Lets simplify the the question.

We have a boat which is situated at 115 meters away from a light house. It forms the base of the right angled triangle.

We need to find the distance from the bottom of the light house to the top of the light house. This distance is the height of the lighthouse, which forms the perpendicular side of the right angled triangle.

The distance between boat and top of the lighthouse is unknown, it forms the hypotenuse.

The angle of elevation, which is the angle between base and hypotenuse, is given as 42°.

The right angled formed is shown below.

We know that

tanθ = Perpendicular / Base

tan42 = height / 115

If height= y

tan 42° = y/115

Solve for y.

y = 103.55 meters