Since giving you the exact answer wouldn't help you learn anything, read this:
to find average get all of the values (98,111,106) and add them up. then do the sum of 98+111+106 divided by total number if values (3)
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:
Step-by-step explanation:
Given
Triangle TSU
Bisector TX
Required
Length of SU
A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;
This means that line TX divides line SU into two equal part.
This implies that
and
Substitute ; The expression becomes
Recall that ;
So, the above expression becomes
Hence, the length of is 20
Answer: the graph is shifted 6 units down
Step-by-step explanation: