Answer:
K=20
Step-by-step explanation:
There seem to be no randomness in the question.
At 1 per minutes the arrival rate is fixed.
Then compute the average cost for each person to give a four, adding the cost of guide and time waiting cost..
Therefore, K is the number of people hoping will show up.
Number of per minute waiting
= 1/2(K-1)K.
Tour cost 20+1/20(K-1).
Cost per guest= 20/k +1/20(K-1)
If the derivative is set to Zero
K=20
Answer:No she does not
Step-by-step explanation:
8pens + 12pecils= 20writing inplements
20+8+12=40
20+8+12=60
You needed 3 sets of 8 pens and 3 sets of 12 pencils to get 60.
3*8=24
24 is less than 60, so she does not have enough pens for 60 students
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
