The amplitude is (10.2 - 5.15) or (5.15 - 0.1), which gives the same answer of 5.05 ft.
The period is 24 hours.
The initial value (at t = 0) is 5.15 ft.
The general equation for the sine wave is:
f(x) = (amplitude)*sin(x*2pi/period) + initial value
f(x) = 5.05*sin(x*pi/12) + 5.15
Answer:
f(-8)= 2(-8-3)+4
Step-by-step explanation:
= -22+4
= -18
Answer:
The Answer is 31.5
Step-by-step explanation:
Answer:
10.69% probability that all 12 flights were on time
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
83% of recent flights have arrived on time.
This means that 
A sample of 12 flights is studied.
This means that 
Calculate the probability that all 12 flights were on time
This is P(X = 12).


10.69% probability that all 12 flights were on time
ANSWER: $44.10
EXPLANATION: The actual cost for an ice hockey match is $19.60. Now, if the price of the ticket increases by 12.5%, the cost of each ticket will increase by $2.45.
$19.6 x 12.5% = $2.45
So, the final price of a single ticket will be $22.05
$19.6 + $2.45 = $22.05
Hence, the cost of two tickets after the increase will be $44.10
$22.05 x 2 = $44.10