University students were surveyed randomly in their opinion regarding a recent tuition increase. the minimum age required with 18 the maximum age is 45. use the range rule of thumb to estimate the standard deviation of the ages.

Solution: We are given that the minimum age required is 18 and the maximum age required is 45.

The range rule of thumb states that range is about four times the standard deviation.

Where s denotes the standard deviation.

Therefore, using the range rule of thumb, the standard deviation is 6.75

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.