The area is given by:
A = x * y = 834
The cost equation is given by:
C = 6 * (2x) + 3 * (y)
We express the equation in terms of a variable:
C (x) = 6 * (2x) + 3 * (834 / x)
Rewriting:
C (x) = 12x + 2502 / x
We derive the equation:
C '(x) = 12 - 2502 / x ^ 2
We match zero:
0 = 12 - 2502 / x ^ 2
We clear x:
x = root ((2502) / (12))
x = 14.4 feet
We look for the other dimension:
y = 834 / x
y = 834 / 14.4
y = 57.9 feet
Answer:
The dimensions of the enclosure that can be erected at minimum cost are:
x = 14.4 feet
y = 57.9 feet
Answer:
27Pi units squared
Step-by-step explanation:
step 1
Find the area of complete circle L
The area of circle is given by
we have
substitute
step 2
Find the area of the shaded sector
we know that
The area of complete circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of sector by a central angle of 120 degrees
Answer:
a. p`± z₀.₀₂₅
b.0.6 ± 1.96
c. { -1.96 ≤ p`± z₀.₀₂₅ ≥ 1.96} = 0.95
Step-by-step explanation:
Here the total number of trials is n= 1000
The number of successes is p` = 600/1000 = 0.6. The q` is 1 - p`= 1- 0.6 = 0.4
The degree of confidence is 95 % therefore z₀.₀₂₅ = 1.96 ( α/2 = 0.025)
a. The formula used will be
p`± z₀.₀₂₅ ( z with the base alpha by 2 (α/2 = 0.025))
b. Putting the values
0.6 ± 1.96
c. Confidence Interval in Interval Notation.
{ -1.96 ≤ p`± z₀.₀₂₅ ≥ 1.96} = 0.95
{ -z( base alpha by 2) ≤ p`± z₀.₀₂₅ ≥ z( base alpha by 2) } = 1- α
Answer:
x=(−3y+12)/5
y=−5/3 x+4
Step-by-step explanation:
What is the run of y = -5/3x +4
Let's solve for x.
y=−5/3 x+4
Step 1: Flip the equation.
−5/3 x+4=y
Step 2: Add -4 to both sides.
−5/3 x+4+−4=y+−4
−5/3 x=y−4
Step 3: Divide both sides by (-5)/3.
(−5/3 x)/(−5/3)=y−4−5/3
x=(−3y+12)/5
________________________________________
Answer:
x=−3y+125
Solve for: y
________________________________________
Let's solve for y.
y=−5/3 x+4
________________________________________
Answer:
y=−5/3 x+4
Answer:
10x +2y
Step-by-step explanation:
Good luck :) I hope you found this helpful!