A triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). It is translated so that its new coordinates
are (1, 7), (−1, −1), and (−5, 6). What translation occurred? A) It moved left two units and up two units. B) It moved right two units and up two units. C) It moved left two units and down two units. D) It moved right two units and down two units
2 answers:
Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).
Questioon says to find which type of translation occured from the given choices.
It can be easily found by drawing the given coordinates.
Original position of the triangle is drawn in Brwon colour.
New position of the triangle is drawn in Green colour.
From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.
Hence choice "A) It moved left two units and up two units." is the final answer.
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Answer with Step-by-step explanation:
Since we have given that
Mean = 150
Standard deviation = 8.8
An admissions officer at a large graduate school believes the mean is less than 150.
a)Determine the null and alternative hypotheses.
So, hypothesis :
b)Explain what it would mean to make a Type I Error.
As we know that Type 1 error are those errors in which null hypothesis is supposed to be rejected but not get rejected.
So, here, mean is not less than 150 but in actual it is less than 150.
c)Explain what it would mean to make a Type II Error.
As we know that Type II error are those errors in which null hypothesis is not supposed to be rejected but it gets rejected.
So, mean is less than 150 but actually it is not less than 150.