A plate moves south at a rate of 2 cm/year. How many meters south from its original location will the plate be in 4,000 years?
2 answers:
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Answer:
x=-1/85; y=-283/85; z=2/17
Step-by-step explanation:
Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:
To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:
By applying the Gaussian elimination, the final matrix is the following:
In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:
Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The number of possible arrangements of n elements is given by
In this problem, there are 4 elements, hence .
A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.
- Hence, the possible options for the last 2 digits are: 56, 68, 76.
- For each of them, there are
options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.
The other 18 numbers formed are not divisible by 4, hence:
0.75 = 75% probability that the number formed is not divisible by 4.
For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717