Answer:
96m
Step-by-step explanation:
distance traveled =
area of the graph( up to 14 sec)
= (1/2*4*8)+(8*10)
= 16 + 80 = 96
Answer:
391 chips
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(X = k) = (e^(-λ) × λ^(k))/k!
Let n be the number of chips she puts in the dough.
Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.
So, λ = n/100
Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.
Thus;
P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02
This gives;
e^(-λ) = 0.02
Putting λ = n/100, we have;
e^(-n/100) = 0.02
-n/100 = In 0.02
-n/100 = -3.912
n = -100 × -3.912
n ≈ 391 chips
Distance between two points, d, is given by
where: (x1, y1) = (2, 2) and (x2, y2) = (5, 5)
Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
