Answer:
5
Step-by-step explanation:
These two angles are equal to each other
set the formulas equal to each other and solve
Answer:
Step-by-step explanation:
sinθ = 63/√(16² + 63²) = 63/65
cosθ = 16/65
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
Answer:
The ferry needs to make 5 trips.
Step-by-step explanation:
All we need to do is divide the numbe of trips by how many cars at a time.
37 ÷ 8 = 4.62500
4.62500 ≈ 5
The explanation is in the picture
