Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
The probability that the sample mean is within 2 standard deviations on the high side and 1 standard deviation on the low side is about 0.8186.
19 - 4.07
14.93
hope this helps
Since they each paid the same amount, we can figure out that 9*4=36 dollars is the price of the gift. Next, since there was a 10% discount (or 0.1 by moving the decimal 2 spots to the left), we can say that the original gift price is x and
x-0.1*x=0.9*x due to that we subtract the 10% discount (and it's 10% of the original price). In addition, the sisters paid 0.9*x, which is 36. Dividing both sides by 0.9, we get x=40
Answer:
It has infinite solutions.
D. More than 1 solution
Step-by-step explanation:
or
