Math

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1)Find the standard deviation of the data set to the nearest tenth. (21,13,18,16,13,35,12,8,15)

A)16.8
B)7.8
C)7.3
D)5.7
I chose C

mean = 21+13+18+16+13+35+12+8+15/9
16.8

variance = (21-16.8)^2 = 17.64...did that with the rest and added them to get sqrt 53.7

standard deviation = sqrt 53.7
= 7.3

2)Find the exact value of sin165
A)(sqrt6) - (sqrt2)/4
B)(sqrt6) + (sqrt2)/4
C)(sqrt2) - (sqrt6)/4
D)(sqrt of sqrt6 - sqrt2)/4
I chose A

(in D, there is a sqrt over both the sqrt6 and sqrt2)

3)Use the Binomial Theorem to find the sixth term in the expansion of (m+2p)^7.

A)21m^2p^5
B)672m^2p^5
C)32m^2p^5
D)448mp^6
I chose A

7/(7-k)!k!^m7-kpk
7/(7-5)!5!^m7-5p5
7*6*5*4*3/5*4*3*2*1^m2p5
2520/120
21m^2p^5

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