Please show the steps taken to complete the problems:
1 answer:
Answer:
Volume cylinder = 24501.42 m³
The surface area of the cone = 151.5 in²
The lateral area of the square pyramid = 352 in²
Step-by-step explanation:
∵ The volume of the cylinder = area base × height
∵ Its base is a circle
∴ V = πr² × h = 3.14 × (34/2)² × 27 = 24501.42 m³
∵ The surface area of the cone = 1/2 perimeter base × Slant height + area base
∵ Its base is a circle
∴ S.A = (1/2) × 2πr × <em>l</em> + πr²
∵ The slant height =
∴ S.A = 3.14 × (8/2) × √65 + 3.14 × (8/2)² = 151.5 in²
∵ The lateral area of the square pyramid = 1/2 perimeter base × slant height
∵ Its base is a square
∴ L.A = 1/2 × (8 × 4) × 22 = 352 in²
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Answer:
a) The mean number of cases is 0.14608 cases.
b) The probability that the number of cases is exactly 0 or 1 is 0.990.
c) The probability of more than one case is 0.010
d) No, because the probability of more than one case is very small
Step-by-step explanation:
We can model this problem with a Poisson distribution, with parameter:
a) The mean amount of cases is equal to the parameter λ=0.14608.
b) The probability of having 0 or 1 cases is:
c) The probability of more than one case is:
d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.