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exis [7]
2 years ago
7

What is the image of (2, 1) after a reflection over the x-axis?

Mathematics
1 answer:
astra-53 [7]2 years ago
3 0

Answer:

(2, -1)

Step-by-step explanation:

Whenever you reflect a point over the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.

(x, y) ⇒ (x, -y).

(2, 1) ⇒ (2, -1).

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The table below shows the hourly temperatures, for a city in Ohio on February 10, 2012, as predicted by the weatherman at the lo
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3 years ago
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A random sample of 35 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the popul
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Answer:

(47.3, 54.1)

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 Ztable as such z has a pvalue 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}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{10.4}{\sqrt{35}} = 3.4

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3

The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1

The answer is (47.3, 54.1).

6 0
3 years ago
For each of the -3.3 trials, and in the same sequence in which you entered the freezing points, enter your calculated values for
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Answer:

The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as

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T_{p} and T_{s} are the freezing points of the pure solvent (water, 0°C) andK_{f} = freezing point depression constant of water. Therefore,

T_{f}  = K_{f} *(0.859 m)

=====> (0°C) – (3.00°C) = K_{f}  *(0.859 m)

=====> -3.00°C = K_{f}  *(0.859 m)

Ignore the negative sign (since K_{f} is positive) and get

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The freezing point depression constant of the solvent is 3.5°C kg/mole  

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3 0
3 years ago
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