Let t, f, and s be the amount of 25%, 40%, and 60% solutions used.
We are told s=3f. The general equation is:
100(0.25t+0.4f+0.6s)/(t+s+f)=45, and using s=3f we have:
(0.25t+0.4f+1.8f)/(t+4f)=0.45
(0.25t+2.2f)/(t+4f)=0.45
0.25t+2.2f=0.45t+1.8f
0.25t+0.4f=0.45t
0.4f=0.2t
t=2f, remembering that s=3f, will allow us to solve for f
t+s+f=60, using t and s from above
2f+3f+f=60
6f=60
f=10 L then
s=3f=30 L and t=2f=20L
So 20L of 25%, 10L of 40%, and 30L of 60% acid solutions need to be mixed to make 60L of 45% acid solution.
Answer:
Step-by-step explanation:
You are given four responses to a question and are to identify which of those four are correct.
The first one is FALSE, because the divisor -2 results in a non-zero remainder.
The second one is also FALSE. The y-intercept is (0, -4).
The third one is TRUE. Division by -2 results in a remainder of -6, which is the y-value of the function at -2.
The fourth is FALSE.
- 5g - 6
as g= -2
-5 (-2) -6
10-6
4 is the answer
Answer: Mean = 760
Standard deviation = 6.16
Step-by-step explanation:
Given : The number of trials: 
The probability that a certain protection system will be recovered :
We know that the mean and standard deviation of binomial distribution is given by :_

, where n is the number of trials and p is the probability of success.
Now, the mean and standard deviation of the number of cars recovered after being stolen is given by :-


Hence, the mean is 760 and standard deviation is 6.16 .
Answer:
-96
Step-by-step explanation: