Answer:
4561.42
Step-by-step explanation:
Let the positive number be
The expression is
⇒ expanding the bracket gives,
⇒ rearranging to equate one side to zero
⇒ Dividing each term by 7 to simplify
⇒ Factorising gives
and
Hence, the first number is -5 and the second number is 3
This item can be solved by the probability theorem called Bayes' theorem which states that the probability of event A occurring given event B is equal to,
P(A/B) = P(A)P(B/A) / P(B)
where P(B/A) is the probability that the test will yield positive if the person has the disease. P(A) is the probability will be present in any particular person which is equal to 0.04.
P(B) is the probability of positive result irrespective of whether the disease is present of not is calculated below.
P(B) = (0.94)x (0.04) + (0.06)(0.96) = 0.0952
Now, solving for P(A/B)
P(A/B) = (0.94)(0.04) / 0.0952 = 0.039
Thus, the answer is approximately 4%.
Answer:
They will be 5 miles apart in 1 hour
Step-by-step explanation:
Here, we want to calculate the time it will take for the two ferries to be 5 miles apart
Mathematically; distance = speed * time
Let the number of hours be x
In x hours, the cat will have traveled 34 * x = 34x miles
In x hours, the Bird will have traveled 29 * x = 29x miles
So;
34x - 29x = 5
5x = 5
x = 5/5
x = 1 hour
Same here, we do a quick switcharoo on the variables first,
