multiply the amount of one piece with the number of pieces
1.85×8=14.8
The area for semi circle is: (pi)(r^2)/2
A= 3.142 x (8.2)^2 / 2
A= 110.8 cm^2
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Answer:
B) 0.1487
Step-by-step explanation:
Let
be the discrete random variable that represents the number of events observed over a given time period. If
follows a Poisson distribution, then the probability of observing
events over the time period is:

Where:

So, the probability that exactly 5 bankruptcies occur next month is:

Umm if it’s wrong I’m sorry but I think it’s D!!