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Paha777 [63]
3 years ago
15

Given a dilation around the origin, what is the scale factor K?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

The answer is "\frac{4}{3}"

Step-by-step explanation:

Given:

\bold{DoK = (12, 8) (9,6)}

In the scale factor when we take x coordinate then the value of k is:

\Rightarrow x= \frac{x_1}{x_2}\\\\\Rightarrow x= \frac{12}{9}\\\\\Rightarrow x= \frac{4}{3}\\

If we take y coordinate then the value of k is:

\Rightarrow y= \frac{y_1}{y_2}\\\\\Rightarrow y= \frac{8}{6}\\\\\Rightarrow y= \frac{4}{3}\\

So, the final value of k is "\frac{4}{3}" .

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Answer:

A

Step-by-step explanation:

To write the equation of the line. first calculate the slope using the slope formula.

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Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0

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3 years ago
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andre [41]

Answer:

D. If the​ P-value for a particular test statistic is 0.33​, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true.

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Step-by-step explanation:

Hello!

You have the following hypothesis:

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H₁: ρ < 0.4

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Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

In this case, you have a 33% chance of getting a value as extreme as the statistic value if the null hypothesis is true. In other words, you would expect results as extreme as the calculated statistic in 33 about 100 samples if the null hypothesis is true.

You didn't exactly specify a level of significance for the test, so, I'll use the most common one to make a decision: α: 0.05

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If p-value ≤ α, then you reject the null hypothesis.

If p-value > α, then you do not reject the null hypothesis.

Since 0.33 > 0.05 then I'll support the null hypothesis.

I hope it helps!

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