A number cube is rolled 120 times. The number 4 comes up 47 times.
We have to determine the experimental probability of rolling a 4.
The formula to evaluate probability of an event is given by:
Probability =
So, Probability of rolling a 4 =
=
Now, we have to find the theoretical probability of rolling a 4.
Total number of outcomes of number cube = {1,2,3,4,5,6}
Probability of rolling a 4 =
So, Option B is the correct answer.
Answer:
Measure of angle 4 is 115°
Step-by-step explanation:
First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.
Find angle 2 by setting up an equation:
This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.
Solve the equation:
Combine the 2 x's to get 2x.
Subtract 50 from both sides.
Divide both sides by 2.
Since x=65, plug 65 into x in the measure of angle 2 (x+50).
65+50=115.
Since Angle 2 is equal to angle 4, angle 4 is also 115.