Answer:
3x²+9x+8
Step-by-step explanation:
x²+x+x(x+2)+1(x+2)+x(x+3)+2(x+3)
x²+x+x²+2x+x+2+x²+3x+2x+6
x²+x²+x²+x+2x+x+3x+2x+2+6
3x²+9x+8
So, when we're tasked with things like this, rewriting everything in terms of sine and cosine and combining fractions often trivializes things, so doing just that gives us:
So out expression is 1/cos(x).
Answer:
18.75 inches
Step-by-step explanation:
Believe me friend
binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5
