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Hope this may have help understand
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
Answer:
172 ft
Step-by-step explanation:
Due south and due east form a 90-degree angle.
Her path is a right triangle. The 60 ft and 40 ft distances are the legs of the right triangle. We can use the Pythagorean theorem to find the hypotenuse. Then we add the lengths of the three sides to find the total distance she traveled which is the perimeter of the right triangle.
a^2 + b^2 = c^2
(40 ft)^2 + (60 ft)^2 = c^2
1600 ft^2 + 3600 ft^2 = c^2
c^2 = 5200 ft^2
c = 72 ft
perimeter = a + b + c = 40 ft + 60 ft + 72 ft = 172 ft
7x^2 + -x + -2 + 6x^2 + - 3
6x^3 + 7x^2 – x – 5
Your answer is A: 6x^3 + 7x^2 – x – 5
Answer:
(22, 0)
Step-by-step explanation:
