Answer:
The correct answer is "Study of tree rings and associated geology shows that the Earth is more than 12,429 years old"
Step-by-step explanation:
While tress have been growing long enough to prove the earth is more than 12,000 years old, it is not able to prove much longer than that. Luckily geology is able to show is that Earth is over 4.6 billions years old. As a result, the above is the only true statement.
Answer: a) -$0.19, b) -$111.72 .
Step-by-step explanation:
Since we have given that
Number of free throws = 434
Number of throws made by them = 390
Amount for making the next 2 free throws = $40
Amount otherwise he has to pay = $169
a) Find the expected value of the proposition.
Expected value of success in next 2 free throws = 
Expected value would be

b) If you played this game 588 times how much would you expect to win or lose?
Number of times they played the game = 588
So, Expected value would be

Hence, a) -$0.19, b) -$111.72
Answer:
A
Step-by-step explanation:
Given
(- 12x + 4) +
(6x + 8) ← distribute parenthesis
= - 9x + 3 + 3x + 4 ← collect like terms
= - 6x + 7 → A
Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. 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.
A total of 15 devices will be used.
This means that 
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that 
What is the probability that one of the devices fail?
This is 


36.58% probability that one of the devices fail