Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108
Answer:
243
Step-by-step explanation:
If there is one question that has three choices a1, a2, and a3, then there will be 3 i.e. 3¹ different ways of answering which are a1 or a2 or a3.
If there are two questions that have answer choices a1, a2, a3 and b1, b2, b3 then there will be 9 i.e. 3² different ways of answering which are a1-b1, a1-b2, a1-b3, a2-b1, a2-b2, a2-b3, a3-b1, a3-b2, and a3-b3.
Similarly, when there are 5 questions that have three choices each, then there will be 3⁵ i.e. 243 ways of answering options. (Answer)
The sum will be:
sigma(i = 1 to infinity, 30*(2/5)^i)
->

Which is equal to 30/(3/5) = 50
Answer:
14 km
Step-by-step explanation:
6 km in the afternoon
x km in the morning
6= x- 25%
6= 0.75x
x= 6/0.75
x= 8 km
total 6+8= 14 km