Options
(0, 35)
(10, 30)
(15, 25)
(20, 15)
Answer:
(C) (15,25)
Step-by-step explanation:
The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+6y.
Option A
When x=0 and y=35
p(x,y)=7(0)+6(35)
p(x,y)=210
Option B
When x=10 and y=30
p(x,y)=7(10)+6(30)
p(x,y)=250
Option C
When x=15 and y=25
p(x,y)=7(15)+6(25)
p(x,y)=$255
Option D
When x=20 and y=15
p(x,y)=7(20)+6(15)
p(x,y)=$230
We observe that the point (15, 25) in Option C yields the highest profit ($255). Therefore, it is the point that maximizes profit.
Answer:
The vertex for parabola y²=4ax is (0,0)
and for (y-k) ²= 4a(x+h), vertex is (h, k).
But you have not given the equation of parabola in the equation.
Hello, please consider the following.
a) You need to replace x by -1.
b) You need to replace x by 2t and simplify.
c) You need to replace x by t-2 and develop, and simplify.
Thank you.
Answer:
The probability that the difference of the proportions (industrial - rural) is greater than 0.2 is 0.7054
Step-by-step explanation:
Solution
Given that:
n₁ = 1500
x₁ = 800
p₁ =800/1500 =0.533
q₁ = 1- 0.533 = 0.467
Thus,
n₂ =1000
x₂ = 300
p₂ = 300/1000 = 0.3
q₂ = 1-0.3 =0.7
So,
p₁ - p₂ = 0.533 - 0.3
=0.233
Now,
SE (p₁ - p₂ ) =√0.533 * 0467/150 + 0.3 * 0.7/1000
=0.0613
So,
p ( p₁ - p₂ > 0.2
= p ( Ƶ > 0.2 - 0.233/0.0613
p = ( Ƶ > - 0.54)
= 0.7054
Answer:
Protein synthesis is the process in which cells make proteins. It occurs in two stages: transcription and translation.
