Answer:
C
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is

Taking the first derivative of this with respect to
and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of
w.r.t
is

And setting this = 0 gives

Eliminating
on both sides and solving for
gives us
Plugging this value of
into the original equation gives us

This is the maximum value that the function can acquire. The attached graph shows this as correct
A circular concrete slab is a cylinder. Vol = pi%2Ar%5E2%2Ah
in this cylinder:
r = 18%2F2 = 9 ft
h = 3%2F12 = .25 ft
:
Find the volume in cu/ft:
V = pi%2A9%5E2%2A.25
V = 63.61725 cu/ft
:
Change to cubic yds; (1 cu/yd = 27 cu/ft) and multiply by $40:
Cost = 63.61725%2F27 * 40
Cost = $94.25
In practical terms , they may require you to buy 3 cu/yds , which is $120
Yan na po
SOLUTION
This is a binomial probability. For i, we will apply the Binomial probability formula
i. Exactly 2 are defective
Using the formula, we have

Note that I made the probability of being defective as the probability of success = p
and probability of none defective as probability of failure = q
Exactly 2 are defective becomes the binomial probability

Hence the answer is 0.1157
(ii) None is defective becomes

hence the answer is 0.4823
(iii) All are defective

(iv) At least one is defective
This is 1 - probability that none is defective

Hence the answer is 0.5177
You add the numerators and keep it over the denominator. 4/16 plus 12/16 is 16/16 and when the same number is the denominator and numerator at the same time, its 1
1