Answer:

Step-by-step explanation:
Given
Sample Size = 2500
Percentage = 30%
Required
Calculate Mean of Y
Mean or Expected Value is calculated as thus;

Where E(Y) represents the mean
n represents the sample size (or population)
p represents the success probability
%

So,


Hence, the mean value of Y is 750
Consider the given table.
- The first row represents first term (first brackets):
+x+x+x-1=3x-1
- The first column represents second term (second brackets):
+x-1=x-1
- The product of (3x-1) and (x-1) is equal to the sum of all remaining terms in this table:
+x²+x²+x²-x-x-x-x+1=3x²-4x+1.
Therefore, 3x²-4x+1=(3x-1)(x-1).
Answer: correct choice is C.
Answer:
TRUE
Step-by-step explanation:
2x + 3x NOT EQUAL TO 4x+5x
COMBINE LIKE TERMS
5x NOT EQUAL TO 9x
Answer:
P (-1 , 0)
Step-by-step explanation:
M (-6 , 2) N (9 , -4) P (x , y)
horizontal distance of M and N = 9 - (-6) = 15
vertical distance of M and N = 2 - (-4) = 6
1/3 from x coordinate of M (-6): -6 + 15/3 = -1 This is x coordinate of point P
1/3 from y coordinate of M (2): 2 - 6/3 = 0 This is y coordinate of point P
P (x , y) i.e P (-1 , 0)
check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385
distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77
MP / PN = 5.385 / 10.77 = 0.5 = 1/2