Answer:
(a) y = ±(√x)/2
Step-by-step explanation:
You want to find y such that ...
x = f(y)
x = 4y^2 . . . . . . . put in the expression for f(y)
x/4 = y^2 . . . . . . .divide by 4
±√(x/4) = y . . . . . take the square root
y = ±(√y)/2 . . . . . simplify
Answer:
$3.75
Step-by-step explanation:
468.75/125=$3.75 per car wash
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