Evaluate each of the expressions for the given values of the variables and see if the condition is met.
8000*4 +5500*6 = 65000 ≤ 75000 . . . true
52*4 +38*6 = 436 ≥ 320 . . . . . . . . . . . . . true
Yes, the company can meet both its expectations by building 4 cars and 6 motorbikes.
Of course, another way to work this is to draw the graph and see if the offered point is in the feasible region. It is.
Answer:
The answer to your question is Midpoint = (0, 1)
Equation of the bisector y = 2x + 1
Step-by-step explanation:
Data
P (-4, 3)
Q (4, -1)
Process
1.- Find the midpoint
Xm = (-4 + 4)/2
Xm = 0/2
Xm = 0
Ym = (3 - 1)/2
Ym = 2/2
Ym = 1
Midpoint = (0, 1)
2.- Equation of the line
slope = (-1 - 3) / (4 + 4)
= -4/8
= -1/2
But the new line is perpendicular so the new slope is
m = 2
Equation of the new line
y - y1 = m(x - x1)
y - 1 = 2(x - 0)
y - 1 = 2x
y = 2x + 1
Answer:
QS = 15
Step-by-step explanation:
Thales
QS/QT = RS/PT
QS = QT·RS/PT
= 20×12/16
= 240/16
= 15
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
Missing question: How many executives should be surveyed?
Solution:
Mean = 13 hours
SD = 3 hours
Confidence level = 95%
Mean viewing time within a quarter of an hour = 0.25 = 1.96*3/sqrt (N)
Where N = Sample population
N = {(1.96*3)/0.25}^2 = 553.19 ≈ 554
Therefore, 554 executives should be surveyed to yield such results.
