Answer:
The required formula is:
Step-by-step explanation:
The total number of squares of the the first term = 4
The total number of squares of the the second term = 7
The total number of squares of the the third term = 10
so,
Finding the common difference d
As the common difference 'd' is same, it means the sequence is in arithmetic.
So
If the initial term of an arithmetic progression is 
and the common difference of successive members is d, then the nth term of the sequence 
is given by:
Therefore, the required formula is:
11+4+86+9=110
Adding the places James was able to name will give you the sum, as sum means addition
Answer:
36h + 75 < 1200
solve:
36h + 75 = 1200
36h = 1125
h = 1125 divided by 36 = 31.25.
Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200
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
