Answer:
P=0.61 or 61%
Step-by-step explanation:
If we pick a random point within the circle, it can fall in the white area or in the pink area. Since the sum of both areas makes the sample space or the total area of the circle, we can compute the probabilities according to the ratio of the areas with respect to the total area, that is:
The area of the circle is
The area of both the triangles is
Where r=4 cm, b=3 cm, h= (4+2.5) cm = 6.5 cm
Then we have:
The white area is obtained by subtracting both areas
So the probability is
I believe the answer to this is the third box
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.
Number of favorable outcomes/total number of outcomes
Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.
So the probability of rolling a 4 is 1/6 which is equivalent
to 0.167 or 16.7%.
That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.
Answer:
2y =8
Step-by-step explanation:
First let's find the value of y
Collect like terms and simplify ;
Divide both sides of the equation by 8
Simplify
Substitute 4 for y into 2y
Using sine rule, 55 / sin 90 = x / sin(90 - 49)
55 / 1 = x / sin 41
x = 55 sin 41 = 36.08
