Volume = Length * Width * Height
Volume of table = 1.5m * 2m * 0.3m
Answer : Volume of table = 0.9m³
0
The equation for slope is equal to
y - y
——-
x - x
so you’ll take
3-3 and divide it by 20-19
which would equal
0
—
1
and you know that 0 divided by anything is always going to equal 0
Answer:
The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.
Step-by-step explanation:
We take the estimate from the website, and expand for all buyers, to find the proportion that use their smartphones.
400 users of the website were randomly sampled from the existing database and 180 were found to have used their smart phones.
180/400 = 0.45
The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.
Answer:
x = 7
y = 3
z (max) = 4950/3 = 1650
Step-by-step explanation:
Let call
x numbers of church goup and
y numbers of Union Local
Then
First contraint
2*x + 2*y ≤ 20
Second one
1*x + 3*y ≤ 16
Objective Function
z = 150*x + 200*y
Then the system is
z = 150*x + 200*y To maximize
Subject to:
2*x + 2*y ≤ 20
1*x + 3*y ≤ 16
x ≥ 0 y ≥ 0
We will solve by using the Simplex method
z - 150 *x - 200*y = 0
2*x + 2*y + s₁ = 20
1*x + 3*y + 0s₁ + s₂ = 16
First Table
z x y s₁ s₂ Cte
1 -150 -200 0 0 = 0
0 2 2 1 0 = 20
0 1 3 0 1 = 16
First iteration:
Column pivot ( y column ) row pivot (third row) pivot 3
Second table
z x y s₁ s₂ Cte
1 -250/3 0 0 200/3 = 3200/3
0 - 4/3 0 -1 2/3 = -20/3
0 1/3 1 0 1/3 = -20/3
Second iteration:
Column pivot ( x column ) row pivot (second row) pivot -4/3
Third table
z x y s₁ s₂ Cte
1 0 0 750/12 700/6 = 4950/3
0 1 0 3/4 -1/2 = 7
0 0 1 -1/4 1/2 = 9/3
They’re parallel to each other
