A₁ = -8 This is the first term in an arithmetic sequence.
d = 3, the common difference
a(n) = a₁ + d(n-1)
a₇ = -8 + 3(7-1)
a₇ = -8 + 3(6)
a₇ = -8 + 18
a₇ = 10
To check:
a₁ = -8
a₂ = -8 + 3 = -5
a₃ = -5 + 3 = -2
a₄ = -2 + 3 = 1
a₅ = 1 + 3 = 4
a₆ = 4 + 3 = 7
a₇ = 7 + 3 = 10
Answer:
Step-by-step explanation:
Volume formula for rectangular prism is 
Volume = length * width * height
Hope this helps
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This is question of probability finding using bayes theorem
It is used to calculate probability of two competing statements
now p(m) = .55
p(~m)= .45
now for basketball for male
p(b|m)=.30
and for female
p(b|~m)=.20
so by bayes theorem
p(m|b)=p(b|m)*p(m)/(p(b|m)*p(m)+p(b|~m)*p(~m))
so answer is E
(.55)(.30) / (.55)(.30) + (.45)(.20)
Inside a triangle, all inside angles add up to 180°
So, add the two angles:
26.4°+33.7°=60.1°
180°-60.1°=119.9°
b=119.9°
