Respuesta :
. Solve: 5x < 9x-1 / 2
-4x < - 1/2 , now divide by -4 and switch signs
x > 1/8
2. There is a 20% chance that it will snow on Monday and a 40% chance on Tuesday. What is the probability that it will NOT snow on both Monday and Tuesday?
P( NOT snow on both Monday and Tuesday) = (1-.2)(1-.4) = 12/25
c. 12/25
3. The total cost of renting a sailboat is $120 plus $60 a day. How many days was a sailboat rented if the total cost was $360? Solve.
120 + 60d = 360
60d = 360 - 120 = 240
d = 4
4. Two cards are chosen at random without replacement from a deck of 52 cards containing 4 kings. Which expression could be used to find the probability of choosing two kings?
b. 4/52 x 3/51
There are 4 x 3 ways to pick 2 kings
There are 52 x 51 ways to pick any two cards
-4x < - 1/2 , now divide by -4 and switch signs
x > 1/8
2. There is a 20% chance that it will snow on Monday and a 40% chance on Tuesday. What is the probability that it will NOT snow on both Monday and Tuesday?
P( NOT snow on both Monday and Tuesday) = (1-.2)(1-.4) = 12/25
c. 12/25
3. The total cost of renting a sailboat is $120 plus $60 a day. How many days was a sailboat rented if the total cost was $360? Solve.
120 + 60d = 360
60d = 360 - 120 = 240
d = 4
4. Two cards are chosen at random without replacement from a deck of 52 cards containing 4 kings. Which expression could be used to find the probability of choosing two kings?
b. 4/52 x 3/51
There are 4 x 3 ways to pick 2 kings
There are 52 x 51 ways to pick any two cards
P(Event) = 4/5 * 3/5 = 12/25
----------------------
Y=Yes=Will Snow
N=No=Won't Snow
There is a 20% chance (1/5) that it will snow on Monday. This means that there is an 80% (4/5) chance that it won't snow on Monday.
Y, N, N, N, N
There is a 40% chance (2/5) that it will snow on Tuesday. This means that there is a 60% chance (3/5) that it won't snow on Tuesday.
Y, Y, N, N, N
-----------------------
Create a table for combinations N, N or Y, N or N, Y or Y, Y:
*Where N, N place (X). Where Y, N or N, Y or Y, Y - place (O).
: Y N N N N
.................................
Y : O O O O O
Y : O O O O O
N : O X X X X
N : O X X X X
N : O X X X X
The combination N, N represented with (X) appears 12 times out of 25 which is your answer (12/25).
----------------------
Y=Yes=Will Snow
N=No=Won't Snow
There is a 20% chance (1/5) that it will snow on Monday. This means that there is an 80% (4/5) chance that it won't snow on Monday.
Y, N, N, N, N
There is a 40% chance (2/5) that it will snow on Tuesday. This means that there is a 60% chance (3/5) that it won't snow on Tuesday.
Y, Y, N, N, N
-----------------------
Create a table for combinations N, N or Y, N or N, Y or Y, Y:
*Where N, N place (X). Where Y, N or N, Y or Y, Y - place (O).
: Y N N N N
.................................
Y : O O O O O
Y : O O O O O
N : O X X X X
N : O X X X X
N : O X X X X
The combination N, N represented with (X) appears 12 times out of 25 which is your answer (12/25).
