Answer:
The game is not fair
Step-by-step explanation:
Let us find the sample space. It is the sum of the two spins
1+1 1+2 1+3 1+4
2+1 2+2 2+3 2+4
3+1 3+2 3+3 3+4
4+1 4+2 4+3 4+4
Adding
2,3,4,5
3,4,5,6
4,5,6,7
5,6,7,8
P(2) = 1/16
p(3) = 2/16
p(4) = 3/16
p(5) = 4/16
p(6) = 3/16
p(7) = 2/16
p(8) = 1/16
Player A gets a point if the sum is 6 or more
P (6,7,8) = P (6) + P(7) + P(8) since they are independent event
=( 3+2+1) /16 = 6/16 = 3/8
Player P gets a point if the sum is less than 6
P (2,3,4,5) =P (2) + P(3) + P(4 + P(5)
(1+2+3+4)/16 = 10/16= 5/8
Player B has a better chance of winning, so the game is not fair
Answer:
9.06 units
Step-by-step explanation:
The distance formula for points on a graph is basically the Pythagorean Theorem
√(x2 - x1)² + (y2 - y1)²
Plug in the values and you'll get √82, which equals about 9.05539, or 9.06
Answer: 64 years
Step-by-step explanation:
Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:
R1 = P(1.05)^t,
This means that after t years, the dealer would have the total amount of:
$P×1.05^t.
If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:
R2 = $P(1 + 20).
The value of t which will make both returns equal, will be;
R1 = R2.
P×1.05^t = P(1+20)
P will cancel out
1.05^t = 21
Log both sides
Log1.05^t = Log21
tLog1.05 = Log21
t = Log21/Log1.05
t = 64 years
The best time to sell the wine is therefore 64years from now.
Answer:
4a=23
4a/4 = 23/4
a=5.75
Step-by-step explanation:
Answer:
6/31
Step-by-step explanation:
4 1/3 ➡ 13/3
5 1/6 ➡ 31/6
to divide two rational expression you should turn the second number upside-down(finding its reciprocal) then multiply them :
13/3 × 6/31 = 26/31
