Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a
1 answer:
Answer:
(370-2x)ml
Step-by-step explanation:
We are given that
In first hand sanitizer
Total solution=200ml
Alcohol=15% of 200ml
Alcohol=
In second hand sanitizer
Solution=200 ml
Alcohol=x% of 200 ml
Alcohol=
We have to find the water in the resulting mixture of hand sanitizers.
Total solution of two hand sanitizers=200+200=400ml
Total alcohol in two hand sanitizers=(30+2x)ml
Water in two hand sanitizers=400-(30+2x) ml
Water in two hand sanitizers=400-30-2x ml
Water in two hand sanitizers=(370-2x)ml
Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml
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Answer:
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Step-by-step explanation:
For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The probability that Ariana is on time for a given class is 69 percent.
This means that
If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class
This is E(X) when n = 39. So
Rounding
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.