Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.
Since in our question, the sample of observations is 50, n = 50.
Since 50 > 30, then <u>our sample distribution will be approximately normal because of the central limit theorem.</u>
So, a is the answer.
Answer:
sdd
Step-by-step explanation:
The question that you can ask yourself while reading in order to help you identify the main ideas is, what is the most important point the author wants me to understand. The correct answer would be option C. The main idea is considered as the most significant idea in a story or a paragraph. This sums up all of the other ideas that are being included in the story.
Answer:
Goal is not achievable
Step-by-step explanation:
There are Two laps and the total distance here is 2miles. Now, it is said that he hopes to travel at a speed of 60mph, thus the total time that it would take him to complete the 2 miles distance race is 2/60 = 1/30 hours. Thus if he travels at a constant speed of 60mph he would finish the race at 1/30hours.
This means he will take a time of 1/60 hours per lap.
Now, he travels 30mph to complete 1 mile, the time taken for this is 1/30h
We now need to know the speed he travels on the second lap.
Average speed = Total distance/Total time
60mph = 2/( 1/30 + T2)
60 = 2/( (1 + 30T2)/30)
60 = 2 divided by (1 + 30T2)/30
60 = 2 * (30)/1 + 30T2
60( 1 + 30T2) = 60
1 + 30T2 = 1
30T2 = 0
T2 = 0
This means that he cannot achieve his goal again as he had taken the time meant for the whole race in a single lap.