Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says
1 answer:
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Answer:
The Length of swimming pool is 8.35 feet
The width of swimming pool is 5.35 feet
Step-by-step explanation:
Given as :
The length of swimming pool is 3 feet longer that its width
Let The width of swimming pool = w feet
So, The Length of swimming pool = L = (w + 3) feet
Now, The swimming pool is surrounded by deck of 2 feet wide
The width of deck = w' = w + 2 + 2 = (w + 4) feet
The area of deck = 116 feet²
The length of deck = L' = L + 2 + 2 = (L + 4) feet
So, L' = (w + 3 + 4) feet
I.e L' = (w + 7) feet
∵ The area of deck = 116 feet²
So , L' × w' = 116 feet²
(w + 7)× (w + 4) = 116
Or, w² + 4 w + 7 w + 28 = 116
Or, w² + 11 w - 88 = 0
Solving the quadratic equation as
ax² + bx + c = 0
So, w =
Or, w =
Or, w =
or, w =
or, w = 5.35 , -16.35
The width of swimming pool = w = 5.35 feet
The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet
Hence, The Length of swimming pool is 8.35 feet
And The width of swimming pool is 5.35 feet
Answer
The probability of selecting a number not divisible by 3 is: 2/3
Step-by-step explanation:
There are two methods to solve the question.
- We can find the probability of numbers not divisible by 3
- We can find the probability of numbers divisible by 3 and then find the complement of it
We will use the second method:
Given:
There are 24 slips
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}
n(S) = 24
Let A be the event that the slip number is divisible by 3
Then
A = {3,6,9,12,15,18,21,24}
n(A) = 8
The probability of number divisible by 3 is:
The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.
The probability of selecting a number not divisible by 3 will be:
The probability of selecting a number not divisible by 3 is: 2/3
Keywords: Probability
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