First let's find the slope of line joining (2, 5) and (4, 4)
Assuming points (x₁, y₁) and (x₂, y₂)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (4 - 5) / (4 -2) = -1/2 = -0.5
From equation of line: y = mx + c
y = -0.5x + c
Using the point (2 , 5) as passing through y = -0.5x + c
x = 2, y = 5
5 = -0.5*2 + c
5 = -1 + c
5 + 1 = c
6 = c
c = 6
Therefore the y-intercept which is c = 6
y-intercept = 6
Hope this explains it.
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:
c
Step-by-step explanation:
1/8 + 1/6
= 1 x 3 + 1 x 4
——- ——
8 x 3 6 x 4
= 3/24 + 4/24
= 3 + 4
———-
24
= 7/24
Answer:
6! = 720
3! - 2! = 4
6! ÷ 3! = 120
Step-by-step explanation:
I used a calculator. ^v^