Divide 59ml into two parts so that one part is 7ml less than five times the other parts
1 answer:
Answer: The two parts are 48 ml and 11 ml.
Step-by-step explanation:
Let x= The quantity in the other part ( in ml).
Then, the quantity in the first part = 5x-7
Since , Whole part = Sum of both parts
According to the question , we have
Add 7 on both sides , we get
Divide both sides by 6 , we get
i.e. Value of x= 11
Therefore , the quantity in the first part = 5(11)-7=48 ml
The quantity in the other part = 11 ml.
Hence, the two parts are 48 ml and 11 ml.
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Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.
For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 70% of fatalities involve an intoxicated driver, hence
.
- A sample of 15 fatalities is taken, hence
.
The probability is:
Hence
Then:
0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.
A similar problem is given at brainly.com/question/24863377
Given a point in coordinates form 
, one can compute the cartesian form like this:
We have:
We get the cartesian form then:
We have:
We get the cartesian form then: