Find the sum (6x2+8x+8)+(12x3-12x2-2x)
1 answer:
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Answer:
The minimum labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.
Step-by-step explanation:
We assume that x should represent the number of units of plants
Also y to represent the number of animals.
So, minimze (z) = 30 x + 15 y
Subject to:
30 x + 20 y ≥ 360
10 x + 25 y ≥ 300
y ≤ 8
0 ≤ x ≤ 25
0 ≤ y ≤ 25
Changing the above linear inequalities into linear equation; we have:
30 x + 20 y = 360
10 x + 25 y = 300
y = 8
The graph for the above discussion can be located in the attached diagrammatic expression below:
NOW, the corner points (0,18),(0,25),(25,25), and (25,8) can be calculated from the graph. From the diagram, the corner point can be found by solving the system.
30 x + 20 y = 360
10 x + 25 y = 300
Corner point (10, 8) = 10 x + 25 y = 300
y = 8
Corner point Value of z = 30 x + 15 y
(0,18) 270
(0,25) 375
(25,25) 1125
(25,8) 870
≅ 310.91
(10, 8) 420
∴
The minimum labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.
Answer:
a) P(6) = 0.0097
b) P(More than 3) = 0.1611
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A student takes a multiple-choice test that has 11 questions.
This means that
Each question has five choices.
This means that
(a) Find P (6)
This is P(X = 6).
P(6) = 0.0097
(b) Find P (More than 3).
Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So
We want P(X > 3). So
In which
Then
P(More than 3) = 0.1611