II The common ratio for this sequence is 3. this is not an arithmetic sequence because you need to multiply by 3 and arithmetic sequences you can only add and subtract. the next term would not be 54 because 27*3 is 81. n describes the nth term of the sequence. so if n was 1, 1+ 3 is for and we already know that the 1st term is equal to 1. Therefore, II is the correct answer.
Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
and use this to find the variance in the formula:
it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:
![s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}](https://tex.z-dn.net/?f=s%5E2%3D%5Cfrac%7B%288-14%29%5E2%2B%2812-14%29%5E2%2B%2815-14%29%5E2%2B%2817-14%29%5E2%2B%2818-14%29%5E2%7D%7B5%7D)
Squaring this ensures us that we don't end up with zero, which would be useless.
so
which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
Answer:
m = (c-2)/(a+b)
Step-by-step explanation:
am+ bm= c-2
Factor out m
m( a+b) = c-2
Divide each side by (a+b)
m( a+b) /(a+b)= (c-2)/(a+b)
m = (c-2)/(a+b)
Answer:
y = -6/5x+56/5
Step-by-step explanation: