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:
3) x = 15; 95 and 85 4) x = 12; 98 for both angles
Step-by-step explanation:
2x + 65 + 3x + 40 = 180 Set the equations equal to 180
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10 Set the equations equal to each other
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98
Answer:16 weeks
Step-by-step explanation:Since we know Sam can make 20 paintings in 4 weeks we must add the weeks
8 weeks will be 40 paintings
12 weeks will be 60 paintings
16 weeks will be 80 paintings
Hence the answer is 16 weeks to create 80 paintings
Answer:
The wire is sufficient for making a cube of volume 2197 cm³
Step-by-step explanation:
Volume of cube = L³
Volume of the cube = 2197 cm³
Length of the wire = 150 cm
Let's see if the wire is sufficient for making a cube.
Volume of the cube that could be made from the wire is:
V = (L)³
V = (150)³
V = 3,375,000 cm³
So,
The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.
That is why, the wire is sufficient for making a cube of volume 2197 cm³.
C : B = D : E
6 : 5 = D : 3
D = 3.6
