The first equation of the system is multiplied by 2.By what number would you multiply the second equation to eliminate the x var
2 answers:
Answer:
We have to multiply 4 with 3 to make it equal to 12.
Step-by-step explanation:
Given the two equations:
In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.
Here, we have to eliminate .
The coefficients are 6 and 4.
The least common multiple of 6 and 4 is 12.
So, we multiply 6 by 2 to make it equal to 12.
and we have to multiply 4 with 3 to make it equal to 12.
And then the two equation have to be subtracted from each other.
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Answer:
Mean: 0.9 pistons
Standard deviation: 0.944 pistons
Step-by-step explanation:
Either a piston is defective, or it is not. This means that for either piston, there can only be two outcomes. This means that we can solve this problem by the binomial distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and each trial can only have two outcomes, with probabilities and
.
For an experiment with n repeated trials and a probability of success , we have that:
The mean is:
The standard deviation is:
In this problem
There are 90 pistons, so .
There is a 1% probability that a piston is defective, so .
Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution:
Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.