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1 answer:
Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
=
= -
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
=
=
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.
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<u>Answer:</u>
The correct answer option is: .
<u>Step-by-step explanation:</u>
We know that the term
for an arithmetic sequence is given by:
where is the number of the position of the term.
We are supposed to find the first four terms of the sequence so we will substitute the values of from 1 to 4 in the given formula to get:
1st term:
2nd term:
3rd term:
4th term:
Answer: F
Critical regions get smaller as α-values get smaller.
Explanation:
The figure below shows the critical regions (shaded) for a 2-tailed test at the 95% confidence level.
Because the total area under the curve is 1, the α-value is 1 - 0.95 = 0.05.
It is split up into 0.025 for a two-tailed test. It remains at 0.05 for a one-tailed test.
The critical z-score at 95% confidence level is z* = 1.96.
When the α-value decreases:
(a) the z* value increases,
(b) the confidence level increases,
(c) the critical region decreases.
Critical regions get smaller as α-values get smaller.
Explanation:
The figure below shows the critical regions (shaded) for a 2-tailed test at the 95% confidence level.
Because the total area under the curve is 1, the α-value is 1 - 0.95 = 0.05.
It is split up into 0.025 for a two-tailed test. It remains at 0.05 for a one-tailed test.
The critical z-score at 95% confidence level is z* = 1.96.
When the α-value decreases:
(a) the z* value increases,
(b) the confidence level increases,
(c) the critical region decreases.