Answer:
a=360
b=168
Step-by-step explanation:
a=5×12×12/2=5×12×6=360
b=2×12×12×(12-5)/10×12=2×12×7=14×12=164
Solution: Second month = m
The equation is
m + 10205 = 21894
m = 11689
So the second month will be $11,894. :)
Answer:
Step-by-step explanation:

<span>The solution:
= 40, p = q = 0.5
P[x] = nCx *p^x *q^(n-x)
when p = q = 0.5, the formula simplifies to
P[x] = nCx/2^n = 40Cx/2^40
at least 18 of each type means 18 to 22 of (say) type I
P(18 <= X <= 22) = 0.5704095 <-------
qb
mean = 40*0.5 = 20
SD = sqrt(npq) = sqrt(40*0.5*0.5) = 3.1623
z1= (18-20)/3.1623 = -0.63 , z2 = (22-20)/3.1623 = 0.63
P(-0.63 < z < 0.63) = 0.4713 <-------</span>
Answer:
DF = 7.5
Step-by-step explanation:
Since the 3 sides are congruent, then
EF = DE , that is
4.5m - 42 = 1.5m - 9 ( subtract 1.5m from both sides )
3m - 42 = - 9 ( add 42 to both sides )
3m = 33 ( divide both sides by 3 )
m = 11
Thus
DE = 1.5m - 9 = 1.5(11) - 9 = 16.5 - 9 = 7.5
Then
DF = 7.5