Jotham needs 70 liters of a 50% alcohol solution. He has a 30% solution and an 80% solution available. How many liters of
2 answers:
Answer:
42 liters of 30% alcohol solution will be needed.
28 liters of 80% solution will be needed.
Step-by-step explanation:
Jotham needs 70 liters of a 50% alcohol solution.
Let the 30% solution needed be x.
We get the following equation:
Solving this we get;
=>
=>
=>
x = 42
Hence, 42 liters of 30% alcohol solution will be needed.
And liters of 80% solution will be needed.
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Answer:
d. 200 and 2
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
Mean = 200
Standard deviation = 18
Sample size: 81
Standard error:
So the correct answer is:
d. 200 and 2