Special cases of the sum and difference formulas for sine and cosine yields what is known as the double‐angle identities and the half‐angle identities.
A1 = 6 a5 = -6
a1 + d(n-1) = -6
6 +4d = -6
4d = -12
d = -3
a3 = a2 + d = -6 -3 = -9
Answer:
categorical ordinal
Step-by-step explanation:
The variable is categorical because not important, somewhat important and very important are three different categories and these categories are assigned numerical value 1,2 and 3 still numerical value assigning cannot lead to quantitative variable because 1 still means category not important. The scale of measurement in the variable is ordinal because it has meaningful order from category 1 not important to category 3 very important.
Mrs Kennedy is buying pencils for 315 students.
The pencils are sold in boxes of 10.
Therefore the number of pencils she needs to buy should be a multiple of 10, so that she can buy boxes of 10 pencils each.
number of students are 315 but 315 is not a multiple of 10
so we have to round off 315 to the nearest ten, that's 320.
so then she has to buy 320 pencils
number of boxes she needs - 320 / 10 = 32 boxes of pencils
she only needs pencils for 315 students so she will have 5 extra pencils
she will have to buy 32 boxes
I would think that it would be the 3:8 one because if you do the math, 8-3 is 5 and 12-5 is 7. The only reason Im doing it this way is because its the only way I can set it up.
so you have more of a difference with the 12:5 one and less of a difference with the 3:8.
I hope I helped a bit