I've done the first four questions. Use this method to answer the rest. For an odd number of objects find the cost of one and multiply by how many you are asked to find.
Answer:
Probability of chossing a face card and the month of june = 0.019
Step-by-step explanation:
Let A be the event that a face card is chosen from a deck of 52 cards
And
B be the event that a month is being chosen from 12 months of an year
So,
n(S)for A=52
n(S)for B=12
As a deck of card has total of 12 face cards so
P(A)=12/52
=3/13
P(B)=1/12
As both the events are independent, the probability of A and B is the product of both events’ probabilities.
P(A and B)= P(A)*P(B)
=3/13*1/12
=3/156
=0.019
Answer:
x = 
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x = 
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = 
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
|
+ 4 | = |
| = 
right side =
- 5 = 
left side = right side , thus x =
is a solution
check second solution
|
+ 4 | = |
| = 
right side =
- 5 = - 
right side ≠ left sides, hence not a solution