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Zarrin [17]
3 years ago
15

The coordinate grid above shows a pentagon. The pentagon is translated 1 unit to the left and 10 units down to create a new pent

agon.
Which rule describes this transformation?
A) (x, y) → (x − 1, y − 10)
B) (x, y) → (x + 1, y − 10)
C) (x, y) → (x − 1, y + 10)
D) (x, y) → (x + 1, y + 10)

Mathematics
1 answer:
Flauer [41]3 years ago
4 0

The pentagon is translated 1 unit to the left, so the points move to the left by 1 unit. Moving left or right changes the x value, when you move right, the x value increases, when you move left, x decreases. Since x is going left 1 unit:

So x - 1

10 units down. Moving up down or up changes the y value, when you move down, y decreases, when you move up, y increases. Since the pentagon is going down 10 units:

y - 10

Your answer is A

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Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

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M = 1.96\frac{267}{\sqrt{500}} = 23.4

The lower end of the interval is the sample mean subtracted by M. So it is 565 - 23.4 = $541.6

The upper end of the interval is the sample mean added to M. So it is 565 + 23.4 = $588.4

The 95% confidence interval for the mean amount of the increase is ($541.6, $588.4). This means that we are 95% sure that the mean amount of increase of all customers who charge at least $3,000 in a year is between these two values.

4 0
3 years ago
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