Answer:
-1 < x < 4.
Step-by-step explanation:
- 6 < 2x - 4 <4
2x - 4 < 4
2x < 8
x < 4. Also we have:
2x - 4 > -6
2x > -2
x > -1.
Answer:
<h2>32/1125</h2>
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/Total outcome.
If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.
If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;
Probability of selecting 2 comedies = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).
Probability of selecting 1 action movie = 6/15 = 2/5
<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>
<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>
Answer:
x = 8
x = -8
Step-by-step explanation:
Answer:
Option B. 
Step-by-step explanation:
we know that
The area of a circle is equal to
we have
substitute
Remember that
radians subtends the complete circle of area 
so
by proportion
Find the area of the related sector for a central angle of 
radians
Let
x------> the area of the related sector
