Answer: D
Step-by-step explanation:
Step 1. Simplify 1/3x to x/3
-x/3 > 5
Step 2. Multiply both sides by 3
-x > 5 * 3
Step 3. Simplify 5 * 3 to 15
-x > 15
Step 4. Multiply both sides by -1
x < -15
Your answer is A.
*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*
Part A) Theresa has 5 cards so: 5 x -50 = -250
Theresa has -250 points.
Part B) Mark has 8 cards so: 8 x -50 = -400
Mark has -400 points.
Part C) Theresa has more points because -250 is closer to 0 on a number line.
The answer is d its decreasing
Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
