Answer:
5(4 + 3c) - 12 = 15c + 8
Step-by-step explanation:
1st step, expand it to make it a little easier to solve, 20 + 15c - 12
2nd step, subtract, 20 - 12 = 8
3rd step simplify, 15c + 8
Answer:
0.0512
Step-by-step explanation:
We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.
The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x
In the above question,
x = 3
n = 5
p = probability for success = 0.2
q = probability for failures = 1 - 0.2 = 0.8
P(x) = (n!/(n - x) x!) × p^x × q ^n - x
P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3
P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²
P(3) = 10 × 0.008 × 0.64
P(3) = 0.0512
Answer:b
Step-by-step explanation:
Answer:
Coordinates of G = 
Step-by-step explanation:
Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).
To find: coordinates of G
Solution:
Midpoints of a side joining points 
are given by 
Diagonals of a parallelogram bisect each other.
So,
Midpoint of DF = Midpoint of EG
Midpoint of DF = 
Midpoint of EG = 
Let coordinates of G be 
Therefore,
So,
Coordinates of G =
