Answer:
x ≥ -0.75
Step-by-step explanation:
3.75 - 3x ≤ 6
Subtract 3.75 on both sides.
- 3x ≤ 6 - 3.75
- 3x ≤ 2.25
Divide both sides with -3.
x ≥ 2.25/-3
x ≥ -0.75
Hey there!
Ratio = division
now, division of boys over girls
= 6 / 15
= 2 / 5
Ratio = 2 : 5
Hope helps!
Answer:
1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64
2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21
Step-by-step explanation:
1. Maximize: P = 4x +4y
Subject to: 2x + y ≤ 20
x + 2y ≤ 16
x, y ≥ 0
Plot the constraints and the objective function Z, or P=4x+4y)
Push the objective function to the limit permitted by the feasible region to find the maximum.
Answer: Objective function is a maximum at (16,0),
Z = 4x+4y = 4(16) + 4(0) = 64
2. Maximize P = 3x + 2y
Subject to x + y ≤ 8
2x + y ≤ 13
x ≥ 0, y ≥ 0
Plot the constraints and the objective function Z, or P=3x+2y.
Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.
Answer: Objective function is at a maximum at (5,3),
Z = 3x+2y = 3(5)+2(3) = 21
Answer:
A) 0.1538
Step-by-step explanation:
4 members are going to be chosen:
M1 - M2 - M3 - M4
We have to find the probability that for each member, one without experience is chosen. There is no replacents.
Initially, we have 15 students, of which 10 have none experience. So the probability that M1 is chosen as a student with no experience is
.
Then, there are 14 students, of which 9 have no experience. So the probability that M2 is chosen as a student with no experience is
.
For the third member, there are 13 students, of which 8 have no experience. So the probability that M3 is chosen as a student with no experience is
.
For the last member, there are 12 students, of which 7 have no experience. So the probability that M4 is chosen as a student with no experience is
.
What is the probability that none of the members chosen for the team have any competition experience?
This is

The correct answer is:
A) 0.1538
Answer:
She is incorrect
Step-by-step explanation:
The fundamental theorem of algebra states that if a polinomial has a degree n, therefore has n roots. To fidn these roots the use of complex number imay be necesary .
For the equation, degree is 3, so there are 3 solutions.