If you have 10 choices. You have about a 50 50 of passing or failing. Your chances would be 5/10 Wich would simplify to 1/2
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: it will take 2.33 hours for the snow fall in both of the towns be equal.
Step-by-step explanation:
Let x represent the number of hours that it will take for the snow fall in both of the towns be equal.
A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. This means that in x hours, the depth of snow in the town would be
6x + 2
A nearby town has accumulated 9 inches of snow and the depth is increasing by 3 inches every hour. This means that in x hours, the depth of snow in the town would be
3x + 9
For the snow fall in both of the towns be equal, the number of hours would be
6x + 2 = 3x + 9
6x - 3x = 9 - 2
3x = 7
x = 7/3 = 2.33 hours
1:4 expresses the total number of apples to the total pieces of fruit purchased
Answer:
88% left to consume
Step-by-step explanation:
880 of 1000
88/100
percentages are out of 100
so you can just divide both sides by 100, or take away the extra zero
let me know if you need further guidance ;)
