The simplest form of the expression is √2 .
We have given an expression √128/8 . .....(1)
Factors of 128 is given by
128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
Put this factors in equation (1) , we get
√128/8 =
On simplifying , we get
√128/8 = 2 ×2 × 2√2 / 8
= 8√2 /8
= √2
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Answer with explanation:
Given : The computed r -value = 0.45
Sample size : n=18
Degree of freedom :
Now, the critical value for Pearson correlation coefficient for a two-tailed test at a .05 level of significance will be :
( by critical correlation coefficient table)
Since , i.e. 0.45>0.468 , then we say that his Pearson correlation coefficient is not significant for a two-tailed test at a .05 level of significance.
General Idea:
The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.
Applying the concept:
Angles PBC and BAD are congruent by the <u>Corresponding Angle Theorem</u>.
Angles ABC and BAT are congruent by the <u>Alternate Interior angle Theorem</u>.
