Given:
Find-: Slope of the line.
Sol:
The slope of line is:
Where,
Choose any point:
So, the slope of the line is:
Slope of line is 3.
Answer: Option A: 5
Step-by-step explanation:
If yo have the pairs (a, b) and (c, d)
The distance between these two points is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between points B and C.
We can see that the coordinates of each one are:
point B: (-5, 5)
Point C: (-1, 2)
Then the distance between these points is:
AB = √( (-5 -(-1))^2 + (5 -2)^2) = 5
AB = √( 4^2 + 3^2)
Then the correct option is A
Answer: If you're talking about hundreds, then its 7.
But if you're talking about hundredths, then its 9
Step-by-step explanation:
Answer:
iii) Use algebraic methods
Step-by-step explanation:
There are various method of finding an accurate solution to a system of linear equations.
They are i) graphing method: ii) algebraic method: iii) Matrices method:
iv) determinant method: v) guess method vi) Cramer's rule etc
Guess and check is not reliable because guess is possible only for integers or numbers with 1 or 2 decimals. SOmetimes guess may give unreliable results. And every time after the guess, checking and verifying will be time consuming and laborious
Graphing the lines may be accurate but writing tables for each line, choosing scales and drawing lines to find points of intersection may be time consuming.
Algebraic methods using are easy to understand, reliable, and less time consuming but 100% accuracy. There are a number of ways in algebraic method also such as substitution, elimination or cross multiplication, etc
Thus option iii) is right
Answer and Step-by-step explanation:
Solution:
Given:
Mean = 0.08
Standard deviation = 0.07
W = 0.75
The return on investment is:
R = W * RS + (1 – W)*RB
Compute the mean and standard deviation:
Mean:
E(R) = E[ W X RS + (1 – W) X RB]
The mean of R is given:
µ = W * RS + (1 – W)*RB
= 0.75 X 0.08 + (1 – 0.75) 0.05
= 0.06 + 0.0125
= 0.0725
Variance:
Var (R) = var [ w x RS + (1 – W)RB]
Var (R) = W 2 Var (RS )+ (1 –W)2 Var (RB) + 2w (1-w)cov(RS , RB)
The standard deviation of R is given by:
∂2 = W2 X (0.07)2 + (1 – W) 2 X( 0.04)2 + 2 W (1 – W) X [0.07 X 0.04 X 0.25]
Where [0.07 X 0.04 X 0.25] is correlation between RS and RB.
