Answer:
12 feets
Step-by-step explanation:
Let the area of the pool be Length×width
There will be 2lengths and 2widths as well so the perimeter of the pool will be the addition of all the sides of the pool i.e 2L + 2W = 96... (1)
And since the length of the pool is 3 times its width, we have
L = 3W... (2)
Substituting equation 2 into 1 to get the width 'W'
2(3W) + 2W = 96
6W + 2W = 96
8W = 96
W = 96/8
W = 12feets
The width of the pool is 12feets
50 states, 4 start with W (Washington, West Virgina, Wisconsin, Wyoming)
So its 8%
The tree diagram for the probability is shown below
P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.
This is a case of conditional probability.
The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)
P(Clay∩Positive) = 0.21×0.48 = 0.1008
P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767
Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)