lilly9240
13.10.2021 •
Mathematics
Challenge the price of Stock A at 9 A.M. Was $12.87. Since then, the price has been increasing at
the rate of $0.06 each hour. At noon the price of Stock B was $13.62. It begins to decrease at the
rate of $0.13 each hour. If the two rates continue, in how many hours will the prices the two
stocks be the same?
In about hours, the prices of the two stocks will be the same.
(Round to the nearest tenth as needed.)
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Ответ:
69.50%
Step-by-step explanation:
Given:
Ayrshire cows:
E(X) =μ = 47
SD(X) = σ = 6 Var (X) = 6^2 = 36
Jersey cows:
E(Y) = μ = 43
SD(Y) = σ = 5 Var(Y) = 52 = 25
Properties mean, variance and standard deviation:
E(X +Y) = E(X) E(Y)
V ar(X +Y) = Var(X) + Var(Y)
SD(X +Y) = √Var(X)+Var(Y)
X — Y represents the difference between Ayrshire and Jersey cows.
E(X — Y) = E(X) — E(Y). 47 — 43 = 4
SD(X — Y) = √Var(X)+ Var(Y) =√36+ 25 = √61 = 7.8102
The z-score is the value decreased by the mean, divided by the standard deviation:
z = x-μ /σ = 0-4/ 7.8102 = -0.51
Determine the corresponding probability using table Z in appendix F.
P(X—Y 0) = P(Z > —0.51) = 1—P(Z < —0.51) = 1-0.3050 = 0.6950 = 69.50%