Answer:
(3x − 1)(x 8)
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
14 meters
Step-by-step explanation:
√196 = 14
If you are trying to solve for the constant "c" value for the standard form of a polynomial: 0 = ax² + bx + c
--> just multiply the factors, see that "c" is pq
(x-p)(x-q) = x² - qx - px + pq
Answer:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Step-by-step explanation:
