Answer:
-\frac{7}{6}
Step-by-step explanation:
We can use the slope formula for the segment that joins any two points
and
:

which in our case gives:

Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 2.575.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that 
Margin of error of 0.25
This means that 
What's the minimum size of the sample?






Rounding up:
The minimum sample size is 239.
The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.
<h3>What are the missing statements in the proof?</h3>
Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.
Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.
Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.
Read more on complementary angles;
brainly.com/question/16281260
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