What is thirty five sixths times twenty five twelfths
2 answers:
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Answer:
38
Step-by-step explanation:
The simplest (almost trivial) solution is to add the two inequalities:
(x +3y) +(3x +2y) ≤ (13) +(25)
4x +5y ≤ 38
The maximum value of P is 38.
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Perhaps more conventionally, you can graph the equations, or solve them to find the point of intersection of their boundary lines. That point is (x, y) = (7, 2), which is the point in the doubly-shaded solution space that gives the maximum value of P (puts the objective function line farthest from the origin).
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In the attached graph, we have been a little sloppy, not applying the constraints that x, y ≥ 0. For the purpose of finding the requested solution, that is of no consequence.
Answer:
The answers to the questions are
(a) P = 0.0176
(b) P = 0.5
(c) P = 0.0571
Step-by-step explanation:
The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true
The p value is given by
P ( = 185 when μ = 175)
z =
z( = 185) =
= 1.5811
Therefore the P ( = 185 when μ = 175) = P(z = 1.5811)
0.94295
The probability density function is
Therefore the probability is
= 0.0176
b) The type II error is given by
β = P(type II error) = P(Fail to reject the null hypothesis when it is false)
Therefore
β = P ( < 185 when μ = 185)
P, which gives
P(z<0) and β = 0.5
(c) For true mean foam height of 195 mm we have
β = P ( < 185 when μ = 195)
and P
Which gives P(z < -1.58)
From z table the probability is β = 0.0571