Answer:
UwU thank you
please remember to smile, because when you do the whole world gets brighter
-Todo <3
Step-by-step explanation:
A.) Let the length of the sides of the bottom of the box be y and z, and let the length of the sides of the square cut-outs be x, then
V = xyz . . . (1)
2x + y = 24 => y = 24 - 2x . . . (2)
2x + z = 24 => z = 24 - 2x . . . (3)
Putting (2) and (3) into (1), gives:
V = x(24 - 2x)(24 - 2x) = x(24 - 2x)^2 = x(576 - 96x + 4x^2)
V = 4x^3 - 96x^2 + 576x
b.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 192x + 576 = 0
x^2 - 16x + 48 = 0
(x - 4)(x - 12) = 0
x = 4 or x = 12
but x = 12 is unrearistice
Therefore, x = 4.
y = z = 24 - 2(4) = 24 - 8 = 16
Therefore, the dimensions of the box that enclose the largest possible volume is 16 inches by 16 inches by 4 inches.
c.) Maximum volume = 16 x 16 x 4 = 1024 cubic inches.
The <em><u>correct answer</u></em> is:
False.
Explanation:
We cannot be sure that all samples from a normal distribution will also be normally distributed.
The Central Limit Theorem states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger, especially for sample sizes over 30. Basically as you take more samples from a given distribution, especially large samples, the graph of the sample means will look more like a normal distribution.
However, this does not state that all samples of a normal distribution will also be normal.
Answer:
56 = 56
Step-by-step explanation:
Given:
Bus fare = $2.00
coupon book = 28.00
bus fare w/ coupon book = $1.00
let x be the number of bus rides.
2.00x = 1.00x + 28.00
2.00x - 1.00x = 28.00
1x = 28.00
x = 28.00
24 bus rides for both to have the same cost.
2.00x = 1.00x + 28
2.00(28) = 1.00(28) + 28
56 = 28 + 28
56 = 56
Answer:
x=76 degrees
Step-by-step explanation:
x+59=135
-59 -59
x=76
i am 90% positive this is how you do it. Hope this helps! Happy holidays!!
