A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs. What is the probability of pulling
1 answer:
Answer:
Step-by-step explanation:
We have been given that a prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.
Total number of possible outcomes .
The probability of pulling out a classic rock CD would be .
Since the replacement is not allowed, so total number of CD's would be 1 less than 17 that is 16.
The probability of pulling out a country music CD would be .
Now to find the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD, we will multiply both probabilities as:
Therefore, the probability of pulling out a classic rock CD and then, pulling out a country music CD without replacing it is .
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Molly would need 43 feet of fencing to fence the area.
Step-by-step explanation:
We can see that the area is in the form of a right-angled triangle. Since only two sides of the triangle is given, we could utilise Pythagoras theorem to our advantage to find out the third side.
In Δ ABC
AB² (base) + AC² (perpendicular) = BC² (hypotenuse)
Substituting the values of AB as 10 feet and BC as 18 feet
AC²= BC²- AB ²
∴AC²= 224
∴AC= 14.96 cm
Amount of fence required by molly would equal perimter of the area.
⇒The perimeter of the area would equal AB+BC+AC
⇒Summing up the values of AB, AC and BC
Perimeter= 10+14.96+18= 42.96 feet which is about 43 feet
Hence, Molly would require 43 feet of fencing.
