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3 years ago

Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?

Mathematics

1 answer:

Radda [10]3 years ago

4 0

Answer:

Correct Answer: (8,2)

Step-by-step explanation:

<u>Dilation about the origin</u>

Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.

In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).

The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)

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Evan’s family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 m

Ray Of Light [21]

Answer: Evan's family drove 150 miles on the third day.

Explanation:
Because they had driven the same speed throughout the trip, dividing the miles driven by the hours would result in the miles that they drove per hour. 300/6 and 250/5 = 50. So, Evan's family drove 50 miles per hour. To solve for the hours driven on the third day, you need to multiply the hours driven by the miles that were driven per hour.

3 hrs. x mph (miles per hour) = miles driven on the third day

Hope this helps! Sorry, I don't have the time to reread my answer, but I'm positive that it'll make sense to you somewhat.

6 0

3 years ago

Read 2 more answers

Activity 1: Which Are Real? Which Are

shtirl [24]

Step-by-step explanation:

√-15 is a complex number which is written as √15¡

¡=√-1

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3 years ago

A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hy

Shkiper50 [21]

Answer:

A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

Step-by-step explanation:

State the null and alternative hypotheses to be tested

On this case we can assume that the researcher conduct a one right tailed test hypothesis like on this way:

Null hypothesis: $\mu \leq \mu_o$

Alternative hypothesis: $\mu > \mu_o$

The statistic for this case is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

On this case we have the value for z score given z =+1.85

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05,0.01$ . The next step would be calculate the p value for this test.

Since is a one right tail test the p value would be:

$p_v =P(z>1.85)=1-P(Z$

If we compare the p value obtained and the significance level given $\alpha=0.05,0.01$ we can take a decision:

A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

YES, since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level. And for the significance level 0.05 we have that $p_v$ and we can reject the null hypothesis.

B) The researcher should reject the null hypothesis with either a = .05 or a = .01.

No since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level

C) The researcher should fail to reject H0 with either a = .05 or a = .01.

No, for the significance level of 0.05 we reject the null hypothesis since $p_v$

D) This cannot be answered without additional information.

No, we have enough info to answer the question

4 0

3 years ago

Which sequence of transformations will result in similar, but not congruent, figures?

Rudik [331]

D.dilation changes the size is your answer. Hope this helps!

8 0

3 years ago

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Seventy homes that were for sale in Tampa, Florida in Spring of 2019 were randomly selected. A regression model to predict house

Art [367]

Answer:

d. The slope of the relationship between firstfloorsquarefootage and price is moresteep for homes near the beach than elsewhere in Tampa.

Step-by-step explanation:

In this regression model, we have a positive slope. This positive slope is indicative of an increase. So to interpret this slope, we would say that the slope of the relationship that exists between the two variables (price and firstfloorsquarefootage) is steeper for the homes that are closer to the beach compared to the ones that are elsewhere. Therefore option D is our answer.

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3 years ago