Answer: Franco played for 30 minutes longer than Lain.
Step-by-step explanation:
3 times 60= 180
180-150=30 minutes
Answer:
The value of y that satisfies the system of equations is 20
Step-by-step explanation:
we have
we know that
The solution of the system of equations is the intersection point both graphs
using a graphing tool
the intersection point is (-3,20)
see the attached figure
therefore
The value of y that satisfies the system of equations is 20
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.
Answer:
The true solution is x=4/9
EXPLANATION
The logarithmic equation given to us is
We need to use the quotient rule of logarithms.
When we apply this law the expression becomes
We now take the antilogarithm of both sides to get
We square both sides to get,
We evaluate to obtain,
This simplifies to
We divide both sides by 36 to get
We simplify to get,
Answer:
h = -4
Step-by-step explanation:
7h-5(3h-8) = 72
Distribute
7h - 15h +40 = 72
Combine like terms
-8h +40 = 72
Subtract 40 from each side
-8h+40-40 = 72-40
-8h = 32
Divide each side by -8
-8h/-8 = -32/-8
h = -4
