Answer:
Step-by-step explanation:
The balloon is spherical in shape. The formula for determining the volume of a sphere is expressed as
Volume = 4/3 × πr³
Where
At represents the radius of the sphere.
π is a constant whose value is 3.14
The diameter of the balloon before it was launched is 5 feet
Radius = diameter/2
r = 5/2 = 2.5
Therefore, volume at launch is
4/3 × 3.14 × 2.5³
= 65.42 ft³
When the balloon burst, the diameter is 28 ft
Radius = 28/2 = 14 ft
Therefore, volume when it burst is
4/3 × 3.14 × 14³
= 11488.2 ft³
The difference in volume of the balloon when it burst compared to at launch is
11488.2 - 65.42 = 11422.78 ft³
8 x 8= 64 so 8 is your answer.
Let A represents the event that DVD has a video effect.
So,
P(A) = 1.5 %
Let B represents the event that DVD has a audio defect.
So,
P(B) = 0.8 %
A ∩ B represents that DVD has both audio and video defect.
So,
P(A∩B) = 0.4%
Part a)
A ∪ B represents that DVD has a video or audio defect.
P(A∪B) = P(A)+P(B)-P(A∩B) = 1.5 + 0.8 - 0.4 = 1.9%
Thus the probability that the DVD purchased by the customer has a video or audio defect is 1.9%.
Part b)
The complement of P(A∩B) will represent the probability that the DVD does not have video or audio defect.
So, the probability that DVD purchased by customer does not have video or audio defect is 1 - 0.4 = 0.96%
For a customer to choose a chocolate cone it need to choose "Chocolate" (0.35 probability) and choose a cone (0.4 probability given he chose chocolate).
So, the get the probability of both, we multiply their probabilities:
Thus, the probability of a customer choosing a chocolate cone is, based on the image, 0.14 or 14%.