Answer:
because this is equal to the given matrix, the given matrix is symmetric.
Step-by-step explanation:
A symmetric matrix is a square matrix which has same number of rows and columns. Square matrix is equal to transpose. Equal matrices have equal dimensions. The given matrix is symmetric because the rows and columns are equally distributed.
Answer:
The probability that Ang wins and is given a mug is 0.125.
Step-by-step explanation:
Denote the events as follows:
R = Rob wins
S = Sonja wins
J = Jack wins
A = Ang wins
T = the winner gets a T-shirt
M = the winner gets a Mug
Since any of the four people could be winner the probability of each person winning is same, i.e.
P (R) = P (S) = P (J) = P (A) = 0.25
There only two prizes to select from.
So, the winning person gets any of the two prizes with probability 0.50.
Consider the tree diagram attached.
Compute the probability that Ang wins and is given a mug as follows:

Thus, the probability that Ang wins and is given a mug is 0.125.
Answer:
7566 X 10^4
Step-by-step explanation:
7566.
You move four times
7566 0 0 0 0
Sum/Difference of 2 monomials is (in simplest terms) a monomial when the 2 monomials are 'like terms
Hello,
Let me try out the solution for you.
Consider the below scenarios for the equation y = |x+5|-|x-5|
Case 1:
when x more than or equal to 5
then y=(x+5)-(x-5) = 10
hence y=10
Case 2:
when -5<x<5
y=(x+5)-(-(x-5)) = 2x
y=2x so y can take 9 values corresponding to x={-4,-3,-2,-1,0,1,2,3,4}
Case 3:
when x less than or equal to -5
y= -(x+5)-(-(x-5))
y=-10
Hence if we combine all 3 cases we get that y can take total of 11 values.