Answer:
Step-by-step explanation:
We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.
We know that the area of a circumference is:
where r is the radius of the circumference.
further
d = 2r
Where d is the diameter of the circumference.
Then the radius of the source is 1.5 ft.
The radius of the pond is 1.5 + 3 = 4.5 ft
Finally the area of the pond is equal to the area of the ring that is shown in the image
<u>Answer:</u>
<u>For a:</u> The probability of getting a red or blue ball is 0.48
<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81
<u>For c:</u> The probability of getting neither white or orange ball is 0.48
<u>Step-by-step explanation:</u>
Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
.......(1)
We are given:
Number of red balls in a box = 12
Number of white balls in a box = 18
Number of blue balls in a box = 19
Number of orange balls in a box = 15
Total balls in a box = [12 + 18 + 19 + 15] = 64
Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31
Total number of outcomes = 64
Putting values in equation 1, we get:
Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52
Total number of outcomes = 64
Putting values in equation 1, we get:
Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33
Total number of outcomes = 64
Putting values in equation 1, we get:
Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48