Answer:
28.07 and rounded to the nearest hundredth would be 28.10
Step-by-step explanation:
Answer:
80/81
Step-by-step explanation:
If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.
The probability of getting at least 1 head involves 4 scenarios:
1) 1 Head and 3 Tails
2) 2 Heads and 2 Tails
3) 3 Heads and 1 Tail
4) 4 Heads
Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:
P(at least one head) + P(no heads) = 1
Then, P(at least one head) = 1 - P(no heads)
The probability of 4 tails is:
P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81
Then, P(at least one head) = 1 - 1/81=80/81
32.75 + 39.88 = 72.63
72.63 x 114% = 72.63 x 1.14 = $82.7982 or $82.80 to the nearest cent.
114% is all of the cost of the meal plus 14 % extra for the tip. See how muliplying by 1.14 includes the $72.63 (this saves the step of adding it on at the end if you were only to find 14% of $72.63)
