Answer:
Step-by-step explanation:
x = 15 cent stamps
y = 20 cent stamps
I will be using these equations
x + y = 16
0.15x + 0.20y = 3
x = 16 - y
0.15(16 - y) + 0.20y = 3
2.40 - 0.15y + 0.20y = 3
-0.15y + 0.20y = 3 - 2.40
0.05y = 0.60
y = 0.60/0.05
y = 12.......there were 12 twenty cent stamps
x + y = 16
x + 12 = 16
x = 16 - 12
x = 4.....there were 4 fifteen cent stamps
no change is received
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
I believe that both answers are true bc 23*3= 69 and 12*3=36 and they are both less that $75
Answer:
266.9 feet
thats the answer
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