Given:
Radius of the circle = 4 meters
Measure of arc = 135 degrees
To find:
The area of the sector bounded by the given arc.
Solution:
Formula for area of a sector is:
Where, r is the radius and is the central angle or measure of intercepted arc.
Putting in the above formula, we get
Therefore, the exact area of the given sector is square meters.
Answer:
4 chocolates
Step-by-step explanation:
Since the problem states that the girl received a "giant box", this situation can be treated as if there is replacement, since the change in the probability of getting a chocolate with fruit filling would be minimal after picking a random chocolate.
Therefore, the expected number of choices she has to make before finding the first fruit flavored one is obtained by dividing 1 by the probability of a fruit flavored one:
She should expect to choose 4 chocolates.
Answer: 0.49375, or 0.5
Step-by-step explanation: add up 2.34, -0.29, -0.45, and 0.38, which equals 1.975, then divide that by four (since there are 4 numbers) and you get 0.49375
Answer:
1/12
Step-by-step explanation:
Let the sample space be S.
Let the event of obtaining an even number on one dice and 1 on the other dice be E.
The sample space (S) of rolling a two fair six-sided dice is shown below:
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,1 6,3 6,4 6,5 6,6
n(S) = 36
The event (E) of obtaining an even number on one dice and 1 on the other dice is given below:
2,1 4,1 6,1
Therefore, n(E) = 3
The probability of obtaining an even number on one dice and 1 on the other dice is given below:
P(E) = n(E) / n(S)
P(E) = 3/36
P(E)= 1/12
Therefore, the probability of obtaining an even number on one dice and 1 on the other dice is 1/12