If the volume of the pyramid shown is 108 inches cubed, what is the area of its base?
2 answers:
The question is missing the figure. So, the figure is attached below.
Answer:
The area of the base of the pyramid is <u>36 square inches.</u>
Step-by-step explanation:
Given:
Volume of the pyramid is,
The height of the pyramid is,
Let the area of the base be 'A'.
So, the volume of the pyramid is given as:
Rewrite the given formula in terms of 'A'. This gives,
Now, plug in 108 for 'V', 9 for 'h' and solve for 'A'. This gives,
Therefore, the area of the base of the pyramid is 36 square inches.
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Answer:
Explanation:
You need to find the probability that exactly three of the first 11 inspected packages are damaged and the fourth is damaged too.
<u>1. Start with the first 11 inspected packages:</u>
a) The number of combinations in which 11 packages can be taken from the 20 available packages is given by the combinatory formula:
b) The number of combinations in which 3 damaged packages can be chossen from 7 damaged packages is:
c) The number of cominations in which 8 good packages can be choosen from 13 good pacakes is:
d) The number of cominations in which 3 damaged packages and 8 good packages are chosen in the first 11 selections is:
e) The probability is the number of favorable outcomes divided by the number of possible outcomes, then that is:
Subsituting:
<u>2. The 12th package</u>
The probability 12th package is damaged too is 7 - 3 = 4, out of 20 - 11 = 9:
<u>3. Finally</u>
The probability that exactly 12 packages are inspected to find exactly 4 damaged packages is the product of the two calculated probabilities: