Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
Answer:
In bold.
Step-by-step explanation:
6/6 = 9/a
So a = 9.
6/c = a/4.5
6/c = 9/4.5 = 2
So c = 3.
By similar triangles:
d/5 = 6/ (6+6+3)
d/5 = 6/15 = 2/5
So d = 2.
Also by similar triangles
b/5 = 12/15 = 4/5
So b = 4.
Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,
or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5
Answer:
D
Step-by-step explanation:
If we look at the right side of the equation we see that the y-intercept is 2, so we will place a point on (0,2).
Next, we look to see if the slope of the graph if positive or negetive, and to see what is the slope (2x).
Finally, we look at the inequality if it is greater than (>), less than (<), greater than or equal to (_>), or less than or equal to (<_).
*Note the following:
if < then the line is dotted and the shading will be under the line.
if > then the line is dotted and the shading will be above the line.
if <_ then the line is solid and the shading will be under the line.
if _> then the line is solid and the shading will be above the line.*
It is a lot of information if you look at it, but with practice it can be made easier.
2*1*1= 2 m^3 per chest
2 m^3 per chest* 18 chests= 36 m^3 total
Final answer: 36 m^3
