Answer:
52.56% probability that eight or more of the flights will arrive on time.
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it is on time, or it is not. The probability of a flight being on time is independent from other flights. 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.
At a certain airport, 75% of the flights arrive on time.
This means that 
A sample of 10 flights is studied.
This means that 
Find the probability that eight or more of the flights will arrive on time.
In which
52.56% probability that eight or more of the flights will arrive on time.
Answer:
Answer in explanation
Step-by-step explanation:
In this question, we would be examining the validity of some statements on the number π(pi)
π Is a whole number?
This is wrong, π is a fraction of 22 to 7 parts I.e 22/7
π Is double the radius?
This is wrong. It is the diameter that is double the radius
π Is approximately 3.14?
This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct
π represents the ratio of the circumference of the circle to the diameter?
This is correct.
Mathematically, circumference C = π * diameter D
Hence C/D = π
π Is approximately 22/7?
This is correct. This is the ratio used for π
Answer:
1) The 38th term is A. 38
2) The 11th term is D. 3072
3) The 3rd term is C. 34
Step-by-step explanation:
1) I added 2 until I got to the 38th term.
2) I multiplied until I got to the 11th term.
3) I added 3 until i got to the 12th term.
The teacher showed a more complex way to do it but this is just what I did.
I took the quiz, so I know that I got them all correct.
Answer:
Amplitude increases and the period decreases
Step-by-step explanation:
Here, we are to compare amplitude change and period change
The first equation is;
y = sin x
The second is
y = 3 sine (2/3)x
Generally, the equation of a sine graph can be written as;
y = a sin (bx + c)
where a represents the amplitude and b refers to the period
In the first equation , a = 1 while in the second , a = 3 ; This shows an amplitude increase
In the first equation, b = 1 while in the second equation b = 2/3; this shows a period decrease
