The sum of x and it’s opposite is always zero?
1 answer:
Answer:
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true
Step-by-step explanation:
For this case we can verify if the following expression is true or false:
The sum of x and it’s opposite is always zero?
If we want to proof this we need to show that for any number is true.
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true
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Answer:
1)
2)
Where c represent the number of categories c=2
Step-by-step explanation:
Previous concepts
A chi-square goodness of fit test "determines if a sample data matches a population".
A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".
Assume the following dataset:
Tall =30 , Short =20
We need to conduct a chi square test in order to check the following hypothesis:
H0: The deviations from a 1:1 ratio (25 tall and 25 short) are due to chance.
H1: The deviations from a 1:1 ratio (25 tall and 25 short) are NOT due to chance.
Part 1
So then we know that the expected values would be 25 for each case
The statistic to check the hypothesis is given by:
And if we replace we got:
Part 2
For this case the degreed of freedom are given by:
Where c represent the number of categories c=2
And we can calculate the p value given by:
And we can find the p value using the following excel code:
"=1-CHISQ.DIST(2,1,TRUE)"