Answer:
4 liters of 5% solution and 16 liters of 17.5% solution we need.
Step-by-step explanation:
Let us assume that x liters of 5% solution and y liters of 17.5% solution are taken.
So, x + y = 20 ........ (1)
As the final solution is of 15%, so we can write
⇒ 5x + 17.5y = 300 ......... (2)
Now, solving equations (1) and (2) we get,
17.5y - 5y = 200
⇒ 12.5y = 200
⇒ y = 16 liters
Hence, x = 20 - y = 4 liters.
Therefore, 4 liters of 5% solution and 16 liters of 17.5% solution we need. (Answer)
Answer:
True
Step-by-step explanation:
We have that,
The cone A has the length of the lateral side = h and the height of the cylinder B = h.
Since, the lateral surface areas are given by,
Lateral surface area of cone = , where l is the length of the lateral side.
So, we get =
.
Also, Lateral surface area of cylinder is , where h is the height of the cylinder.
So, we get =
Thus, we see that,
Hence, the given statement is correct.
Answer:
Probability that a smoker has lung disease = 0.2132
Step-by-step explanation:
Let L = event that % of population having lung disease, P(L) = 0.07
So,% of population not having lung disease, P(L') = 1 - P(L) = 1 - 0.07 = 0.93
S = event that person is smoker
% of population that are smokers given they are having lung disease, P(S/L) = 0.90
% of population that are smokers given they are not having lung disease, P(S/L') = 0.25
We know that, conditional probability formula is given by;
P(S/L) =
= P(S/L) * P(L)
= 0.90 * 0.07 = 0.063
So, = 0.063 .
Now, probability that a smoker has lung disease is given by = P(L/S)
P(L/S) =
P(S) = P(S/L) * P(L) + P(S/L') * P(L')
= 0.90 * 0.07 + 0.25 * 0.93 = 0.2955
Therefore, P(L/S) = = 0.2132
Hence, probability that a smoker has lung disease is 0.2132 .