Answer:
3
Step by Step:
Subtract the tip ($6) from the total ($39)
11x=33
Then divide 33 by 11, leaving you with the value of x.
x=3
The lesson was 3 hours long.
Answer:
See attachment
Step-by-step explanation:
The given matrix equation is:
To find Matrix X, we need to multiply both sides of the equation by 2 to obtain:
This simplifies to;
By scalar multiplication, we multiply each entry in the matrix A by to 2 to obtain matrix X.
Answer:
If it is less than 3, Player 1 earns 3 points.
If not, Player 2 earns 2 points.
Step-by-step explanation:
<u>Player 1</u> :
p(N < 3) = p(N = 1 or N = 2) = 2/5
<u>Player 2</u> :
p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5
<u>We notice that</u> :
p(N < 3) × 3 = (2/5) × 3 = 6/5
On the other hand,
p(N ≥ 3) × 2 = (3/5) × 2 = 6/5
since ,the probability player 1 win multiplied by the associated number of points (3)
is equal to
the probability player 2 win multiplied by the associated number of points (2).
Then the game is fair.
