These are the coordinates of a
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Answer:
} )[/tex]
Step-by-step explanation:
Given two vectors a and b,we are rquired to find the angle between them.
a=(8,7);b=(7,0).
Angle between two vectors can be found by dot product of them.
If a and b are two vectors then the dot product of them is given by|a||b|cos(α).
Where α is the angle between the vectors a and b.
Now . and
=56.
Now cosα= so α= cosine inverse of that.
∴α=
} )[/tex]
Answer: We concluded that annual income and education level are not independent.
Step-by-step explanation:
For the given situation, the null and alternate hypothesis can be formulated as:
annual income and education level are independent.
annual income and education level are not independent.
Given, the value of test statistic is 24.32 and the critical value of test statistics is 13.32.
i.e. the test statistic value is greater than the critical value, thus we have enough evidence to reject the null hypothesis.
Therefore, we reject null hypothesis .
So , we concluded that annual income and education level are not independent.