Answer:
-B9C
Step-by-step explanation:
Hi!
Firstly,
1) Start dividing -2972 : 16 = -185 (quotient) *(16) -12 Remainder
2) Do it again! Divide -185 for 16 = -185 / 16 = -11 (quotient) *(16) - 9 Remainder
3) Divide = -11/16 there's no integer result (since it's 0.68) we put it 0*16 -11 (Remainder) = 11
(Since the result gave us a 0 as integer. We had to lower it one unit the Remainder to satisfy the division algorithm which says = a:b=q*b +r,
11 =0*16+11
4) Gathering all Remainders from bottom to top: 12912
Comparing with the Table (below), from the last remainder to the first, and checking it with the table:
Decimal = Hex (multiplying by minus 1 since it's negative):
-11912 =-B9C
Answer:
Step-by-step explanation:
<u>Balls</u>
<u>Options of getting 3 balls</u>
- 1. White, black, black
- 2. Black, white, black
- 3. Black, black, white
Probability P(n) in each option
<u>1. WBB</u>
- P(w) = 6/(n + 6)
- P(b1) = n/(n + 6 - 1) = n/(n + 5)
- P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)
P(n) =
- P(w)P(b1)(P(b2) =
- 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =
- 6n(n - 1)/(n + 6)(n + 5)(n + 4)
<u>2. BWB</u>
- P(b1) = n/(n + 6)
- P(w) = 6/(n + 6 - 1) = 6/(n + 5)
- P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)
P(n) =
- P(b1)P(w)(P(b2) =
- n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =
- 6n(n - 1)/(n + 6)(n + 5)(n + 4)
<u>3. BBW</u>
- P(b1) = n/(n + 6)
- P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)
- P(w) = 6/(n + 5 - 1) = 6/(n + 4)
P(n) =
- P(b1)P(b2)(P(w) =
- n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =
- 6n(n - 1)/(n + 6)(n + 5)(n + 4)
<u>Final equation is same for each case:</u>
- P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)
The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
<em>See attached graph</em>
<u>At both values n we get P(n):</u>
- P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)
- P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)
Answer:
12e - 32j
Step-by-step explanation:
Simply distribute the 4.
4 (3e) = 12e
4 (-8j) = - 32j
Put it together: 12e - 32j