<h3>
Answer: Point E is located at (2, 3)</h3>
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Explanation:
The sequence PQRST has T as the last letter.
The sequence ABCDE has E as the last letter
The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.
Point T is at location (-3,2). So x = -3 and y = 2.
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Use the rule
(x,y) ---> (y, -x)
which is the rule we use when we rotate any point 90 degrees clockwise around the origin. We swap the x and y coordinates, then change the sign of the second coordinate (after the swap happens).
This means,
(-3, 2) ----> (2, -(-3)) = (2, 3)
or simply
(-3, 2) ---> (2, 3)
Answer: the final ballance is 26445.35
The total compound interest is $14,455.35.
It's 5 over 9 because you start off with 10 cards (6 roses 4 daisies) then you pick a rose. Then it become's 5 over 9 since there are only 5 roses left and 9 total cards left.
Answer:
h(2) = 5.2 + 1 = 10 + 1 = 11
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the mean salaries of college graduates
Number of sample, n = 40
Mean, u = $62, 200
Standard deviation, s = $11,766
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
62200 +/- 1.645 × 11766/√40
= 62200 +/- 1.645 × 1860.4
= 62200 +/- 3060.358
The lower end of the confidence interval is 62200 - 3060.358 =59139.642
The upper end of the confidence interval is 62200 + 3060.358 =65260.358
Therefore, with 90% confidence interval, the mean mean salaries of college graduates is between $59139.642 and $65260.358
