Answer: The required probability is 0.25.
Step-by-step explanation:
Since we have given that
Radius of the dartboard = 4 in
Area of the dartboard is given by

Radius of the shaded region = 2 in
Area of shaded region is given by

So, the probability that the dart lands in the shaded circular region is given by

Hence, the required probability is 0.25.
<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>
21²+28²=c²
√1225=c
35 miles - distance of the boat to its starting point
Answer:
47
Step-by-step explanation:
sinice they are similar they have the same angles so 180-118-15=f
so f=47