Answer:
0.049
4.9 % of probability
Step-by-step explanation:
The probability of having the disease is equal to 7%
The probability of testing positive, having the disease is equal to 70%
We are looking for the probability of testing positive.
For that, we need to multiply the probabilities to find the result
P = (0.07)*(0.7)
P = 0.049
P = 4.9%
Answer:
- adult tickets: $13
- student tickets $7
Step-by-step explanation:
The given equations are ...
4a +5s = 87
2a +2s = 40
We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.
(4a +5s) -2(2a +2s) = (87) -2(40)
4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses
s = 7 . . . . . . . . . . . . . . . . . .simplify
2a +2(7) = 40 . . . substitute for s in the second equation
2a = 26 . . . . . . subtract 14
a = 13 . . . . . . . divide by 2
Adult tickets cost $13; student tickets cost $7.
Divide both sides by to get
Substitute , so that . Then
The remaining ODE is separable. Separating the variables gives
Integrate both sides. On the left, split up the integrand into partial fractions.
Then
On the right, we have
Solving for explicitly is unlikely to succeed, so we leave the solution in implicit form,
and finally solve in terms of by replacing :
Width = 20 feet
length = 2(20) = 40 feet
then the perimeter equals 2width+ 2length = 2(20)+ 2(40) = 40+80 = 120 feet