What is the solution to the system of linear equations?
2 answers:
Answer:
The answer is
Step-by-step explanation:
Firstly, we have to eliminate a variable, x or y. <u>It doesn't matter which one</u>.
For that, we orderer the variables in the same way for both equations.
Then, we need to have the same coefficient in the variable that we want to eliminate, but with different sign
Choosing the x variable:
Then we add both equations:
Then we replace the value of "<em>y</em>" in whatever equation:
Finally, the answer is
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The series of odd numbers is:
1, 3, 5, 7, 9, 11, 13, ....
If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.
The formula for the sum of an Arithmetic Series is:
Here,
n = number of terms = 100
a₁ = first term = 1
d = Common Difference = 2
Using the values, we get:
Thus, the sum of first 100 positive odd whole numbers is 10,000.
Answer:
Step-by-step explanation:
From the given information;
The null hypothesis & alternative hypothesis:
The test statistics can be computed as:
The p-value = 2(Z > 2.11) since this is a two-tailed test
The p-value = 2( 1 - Z < 2.11)
The p-value = 2 (1 -0.9826)
The p-value = 2 (0.0174)
The p-value = 0.0348
Decision Rule: To reject the if the p-value is less than
Conclusion: We fail to reject and conclude that the population mean = 2, thus the machine is properly adjusted.