Tyler wears a jacket to school every 3rd day and a scarf to school every 8th day. What will be the first day Tyler will wear his
1 answer:
Answer:
24th day will be the first day on which Tyler will wear his jackets and scarf to school
Step-by-step explanation:
We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)
<u>Finding the LCM of(3,8)</u>
List all prime factors for each number.
Prime Factorisation of 3 shows:
3 is prime =>
Prime Factorisation of 8 is:
2 x 2 x 2 =>
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new super-set list is
2, 2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 = 24
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Answer:
b. It will decrease by a factor of 2
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The lower end of the interval is given by:
The upper end of the interval is given by:
The length of the interval is the subtraction of the upper end by the lower end, so it is:
This means that the length is inverse proportional to the square root of the size of the sample.
So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.