Answer:
( x - y ) ( a - b ) = -1
Step-by-step explanation:
ax + by = c and bx + ay = 1 + c
ax + by = c and bx + ay - 1 = c
And now we set c equivalent
ax + by = bx + ay - 1
ax - bx + by - ay = -1
x (a - b) + -y (a - b) = -1
(x - y) ( a - b) = -1
So we can leave it like that, or we can solve for one of the variables.
If we solve for y:
(x - y) ( a - b) = -1
(x - y) = -1 / (a - b)
-y = (-1 / (a - b)) - x
y = (1 / (a-b)) + x
Cheers.
Answer:
9 ways
Step-by-step explanation:
Let's begin by listing all possible options. Let a equal the number of pins knocked down on the first try and b equal the number of pins knocked down on the second try.
- a = 9, b = 1
- a = 8, b = 2
- a = 7, b = 3
- a = 6, b = 4
- a = 5, b = 5
- a = 4, b = 6
- a = 3, b = 7
- a = 2, b = 8
- a = 1, b = 9
Assuming that a and b cannot equal 0 (that is, 0 pins knocked down on one try and 10 knocked down on the other), there are 9 possible combinations.
Answer:
The expected value of the number of spades are = 4.25
Step-by-step explanation:
As per the question,
W know that in a standard deck of 52 playing card, there are 4 suits, and each suit have 13 playing card.
Since, we know that
Therefore,
Probability of any random card being a spade is
So the expected number of spades we draw are
Hence, the expected value of the number of spades are = 4.25
Answer:
4.45
Step-by-step explanation:
cos(70)= BC/13
BC=13*cos(70)
BC= 4.45 cm
Answer:
Look down below for answer
Step-by-step explanation:
Multiply the total cost by (0.15) to find the gratuity. Then add the gratuity to the total cost to find the new cost.