Answer:
720 possible ways
Step-by-step explanation:
The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.
The first position can be taken by any of the 10 runners
Now, the second position can be taken by remaining 9 runners
while the third position can be taken by the renaming 8 runners.
Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways
Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
X=60° (equilateral triangle)
y=120°
Working: (360°-120°)/2
Answer, Step-by-step explanation:
According to the exercise, we evaluate the delivery time of a courier company and we will hypothesize the best case with a sample size of 10, which is:
Small sample T test for single mean
The hypothesis that we will develop will be the following:
null hypothesis = mu> = 6
hypothesis alternativa: <6
6 over negative 10, because you just multiply the numerator and denominator by 2