Which term best describes the solution of the situation represented by the system of inequalities? (Assume that x is greather th
an or equal to 0 and y is greater than or equal to 0)
3x+4y is less than or eaual to 8
2x+4y is less than or equal to 6
f(x,y)=x+y
A. alternate optimal solutions
B. One Optimal Solution
C. Unbounded
D. Infeasible
3x+4y is less than or eaual to 8
2x+4y is less than or equal to 6
f(x,y)=x+y
A. alternate optimal solutions
B. One Optimal Solution
C. Unbounded
D. Infeasible
2 answers:
The system of Inequality given here is
1. →x≥0
2.→y≥0
3.→3x+4y≤8
4.→2x+4y≤6
f(x,y)=x+y
Drawing the Inequality on the Coordinate plane and obtaining the feasible points
And Feasible Points are
1.→(0,1.5)
2.→(0,0)
3.→(2.667,0)
4.→(2,0.5)
→f(0,1.5)=0+1.5=1.5
→f(0,0)=0+0=0
→f(2.667,0)=2.667+0=2.667
→f(2,0.5)=2+0.5=2.5
⇒There is one Optimal Solution obtained at Point (2.667,0).
Option B
One optimal solutions
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Question:
(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.
Answer:
The answers to the questions are;
(a) Based on the z score, Boris perform better on his aptitude test.
(b) Based on the z score, Callie perform better on his knowledge test .
(c) For Boris since +0.93 = >
>
Yes as Boris now performed best on the logic test.
Step-by-step explanation:
The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.
To solve the question, we note that we are required to find the z score as follows.
z score is given by
Where:
z = Standard score
x = Score
σ = Standard deviation
μ = Mean
(a) To find out which test did Boris performed better usin z score, we have
Boris scored a
57 on the knowledge test and
106 on the aptitude test
Therefore the z sore for the knowledge test is
Here
x = 57
μ = 60
σ = 4.3
Therefore
= -3/4.3 = -30/43 = -0.6977
The z sore for Boris on the aptitude test is
Here
x = 106
μ = 110
σ = 7.1
= -40/17 = -0.5634
Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977
(b) For Callie we have
Callie scored a
63 on the knowledge test and
114 on the aptitude test
Therefore the z sore for the knowledge test is
Here
x = 63
μ = 60
σ = 4.3
Therefore
= 3/4.3 = 30/43 = 0.6977
The z sore for Callie on the aptitude test is
Here
x = 114
μ = 110
σ = 7.1
= 40/17 = 0.5634
Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.
(c) If = +0.93 then sinc for Boris
= -0.6977 and
= - 0.5634 then
>
>
Therefore Boris now performed best on the logic test.
Use Hooke's law... (just kidding)
Break down each force vector into horizontal and vertical components.
The resultant force is the sum of these vectors,
and has magnitude
The closest answer is D.