Answer: 2/3
Cathy rolls a number cube that is labeled from 1 to 6.
Total outcomes = {1,2,3,4,5,6}
she rolls an even number or a multiple of 3
Outcomes of an even number = {2,4,6}
Outcomes of multiple of 3 = {3,6}
so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}
Probability ( any event) =number of favorable outcomes divide by total number of outcomes
probability(even number or a multiple of 3) = 
The <em>correct answer</em> is:
The diagonals of the parallelogram are congruent.
Explanation:
In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.
Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.
The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.
The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.
The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
<u>Step-by-step explanation:</u>
- Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.
- She gets y dollars for each extra hour she works over 40 hours.
<u>The equation can be framed as :</u>
Let,
- x be the total pay she could get for 48 hours.
- The amount she earned for 40 hours = 40 × $15 ⇒ $600
- The amount she earned for extra hours = 8 × y ⇒ 8y
The equation is given as,
Total earnings = amount earned for 40 hours + amount for extra 8 hours.
⇒ x = 600 + 8y
Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
Answer:
The man wins 9 times and looses 11 times in the rock - paper-scissor game.
Step-by-step explanation:
Let us assume that in the game:
Number of times man wins the games = x times
Number of times man loses the games = y times
Total number of attempts = 20
Points after winning = 5
Points after loosing = 2
Now, according to the question:
x + y =20
and 5 x + 2 y = 67
Now, from (1) y = 20-x, put in (2)
5x + 2y = 67 ⇒ 5x + 2(20 -x) = 67
or, 5x -2x = 67 - 40
or, 3x = 27
⇒ x = 27/3 = 9
then y = 20 - x = 20 - 9 = 11
⇒ x = 9 and y = 11 is the solution of the given system.
Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.
