Answer:
100
Step-by-step explanation:
The original area is (200 m)×(300 m) = 60000 m². You want an area that is ...
(200 +x)×(300 +x) = 120000
60000 +500x +x² = 120000 . . . . eliminate parentheses
x² +500x -60000 = 0 . . . . . . . . . . subtract 120000
(x +600)(x -100) = 0 . . . . . . . . . . . . factor
The positive value of x that makes a factor zero is x = 100.
The value of x is 100.
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<em>Check</em>
The larger plot will be 300×400, the larger dimension being double the original smaller dimension.
The answer is:
The farmer has ( 140 cows ) & ( 28 horses ). = 168 animals
5 × 28 = 140
Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
Answer:
(a) The probability of a "Yes" answer, given that the person was a female is 0.16
(b) The probability that the respondent was a male, given that the response was a "No" is 0.3
Step-by-step explanation:
This problem can be solved using the definition of conditional probability
P(B|A) = P(A∩B) / P(A)
(a) In this case, event A is that the person is female and event B is that the answer of the person is "Yes".
P("Yes" | Female) = P(Female ∩ "Yes") / P(Female)
P("Yes" | Female) = (8/100)/(50/100)
P("Yes" | Female) = 8/50
P("Yes" | Female) = 0.16
(b) In this case, event A that the answer of the person is "No" and event B is that the person is male.
P(Male | "No") = P("No" ∩ Male) / P("No")
P(Male | "No") = (18/100)/(60/100)
P(Male | "No") = 18/60
P(Male | "No") = 0.3
