Answer:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Step-by-step explanation:
Jogging pants design Selling Price Cost
weekly production
Design A x₁ 2500 1750
Design B x₂ 2100 1200
1. z ( function is : )
z = 2500*x₁ + 2100*x₂ to maximize
First constraint weekly production
x₁ + x₂ ≤ 120
Second constraint Budget
1750*x₁ + 1200*x₂ ≤ 150000
Then the model is
z = 2500*x₁ + 2100*x₂ to maximize
Subject to
x₁ + x₂ ≤ 120
1750*x₁ + 1200*x₂ ≤ 150000
General constraints x₁ ≥ 0 x₂ ≥ 0 both integers
First table
z x₁ x₂ s₁ s₂ cte
1 -2500 -2100 0 0 0
0 1 1 1 0 = 120
0 1750 1200 0 1 = 150000
Using AtoZmath online solver and after 6 iterations the solution is:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15
lbvjy [14]
Answer:
8192
Step-by-step explanation:
The number of subsets of an n-element set is 2^n.
Your set has 13 elements, so has 2^13 = 8192 subsets.
__
This count includes the empty set and the full set.
Slope intercept form is: y=mx+b
So you take the first equation: 2x-3y=6 and you subtract the 2x from both sides and get: -3y= 2x+6
Then you take that equation: -3y= 2x+6 and divide -3 from both sides and get: y= -2/3x -2
So the equation 2x-3y=6 in slope intercept from is
y = -2/3x -2
Can you do the next one your self based on the one i did...?
(Scroll and check ⬇️ )
Here ya go ;)
5x + 2y = 3 okay same steps as above you want to get the x on the other side so you subtract the 5x from both sides and get:
2y = 5x + 3
Then you want to get the y by its self so you divide the 2 from both sides so you get:
y = 5/2x +2/3
Now idk if your allowed to leave it like that (based on your teacher's preferance really) but if not you can simplfy your fractions and get:
y = 2.5x + 0.66
( i would leave the 2/3 and just leave it as y = 2.5x + 2/3 ) but you do you and i hope that helped you :)
Answer:
a) 68.2%
b) 31.8%
c) 2.3%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 530
Standard Deviation, σ = 119
We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.
Formula:
a) P(test scores is between 411 and 649)
b) P(scores is less than 411 or greater than 649)
c) P(score greater than 768)
P(x > 768)
Calculation the value from standard normal z table, we have,
Answer:
Equation of axis of symmetry is x = 2
Step-by-step explanation:
The equation of the parabola is given as;
y = -2x² + 8x - 7
The equation of the axis of symmetry is given by;
x = -b/2a
In the parabola equation given and using letters of quadratic equation, we can say that;
a = - 2
b = 8.
c = -7
Thus;
x = -b/2a = -8/(2 × - 2)
x = 8/4
x = 2
Equation of axis of symmetry is x = 2
