To solve for the width and the length of the pool, you will use the formula for finding the volume of a rectangular prism. You will represent the length and the width of the pool in terms of w, the width.
Please see the attached picture for the work.
The width of the pool is 20 feet.
The length of the pool is 3 x 20 ft or 60 feet.
Answer:
Mean
Step-by-step explanation:
Adding up and dividing to find the mean.
We simply add up all of the individual grades, get the total, and then divide by the number of students in the class.
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<span>(a) This is a binomial
experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
(b) Using the formula:</span><span>
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
(c) Fewer
than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.
1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
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Answer:
To find the volume of a triangle pyramid, you would use the formula V = 1/3AH, where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the apex.
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Answer: 16.6%
Step-by-step explanation:
$60 divided by 6 = $10
so divide 100 by 6 and you get about 16.6
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