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3 years ago

Brainliest and 11 pts!

Mathematics

2 answers:

kiruha [24]3 years ago

6 0

Answer:

A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

Step-by-step explanation:

Given

E(1,1)

F(1,4)

G(5,4)

H(4,1)

A translation 1 unit to the right transform point (x, y) to (x+1, y)

A 90-degree counterclockwise rotation about the origin transform point (x,y) to (-y,x). Then, (x+1, y) is transformed into (-y,x+1). Applying this to Polygon EFGH we get

E(1,1) -> E'(-1,2)

F(1,4) -> F'(-4,2)

G(5,4) -> G'(-4,6)

H(4,1) -> H'(-1,5)

nirvana33 [79]3 years ago

4 0

It is helpful to plot the points, then mentally test the answers for plausibility. Translation of E 1 unit to the right puts it at (2, 1), then rotation counterclockwise 90° about the origin puts it at (-1, 2), the location of E'.

The appropriate choice seems to be
A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

_____
Translation 1 unit right: (x, y) ⇒ (x+1, y)
Rotation 90° CCW: (x, y) ⇒ (-y, x)
Both transformations in that order: (x, y) ⇒ (-y, x+1)

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A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a

vitfil [10]

Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is $\hat{p}=0.42$ and a good aproximation (because we have a large sample) for the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156$ . Therefore, a 99% confidence interval for p is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ where $\alpha=0.01$ and $z_{\alpha/2}$ is the $\alpha/2$ th quantile of the standard normal distribution, so we have, $0.42\pm z_{0.005}0.0156$ , i.e., $0.42\pm(-2.5758)(0.0156)$ or equivalently (0.3798, 0.4602).

6 0

3 years ago

Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.

barxatty [35]

Answer:

I'm assuming 45−−√ is $\sqrt{45}$ , and that it belongs to the subset of irrational numbers.

16/5 is a rational number, and -1 is an integer.

All numbers belong to the subset of real numbers.

Step-by-step explanation:

Hope this helped!

7 0

3 years ago

Ken has already baked 4 pies and he can bake 1 pie with each additional cup of sugar he buys. With 31 additional cups of sugar,

Bumek [7]

Answer: 35 pies

Step-by-step explanation:

Ken can bake 1 pie with each additional cup of sugar he buys. 1 pie =1 cup

4 + x = y

Where;

x= additional pies

y= total pies

If 1 cup= 1 pie; then 31 cups =

31 cup × 1 pie/1 cup = x

:. x= 31 pies

y= x + 4

y= 31+4 = 35

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3 years ago

Audrey is buying a new car for $32,998 she plans to make a down payment of $4200 if she makes monthly payment of $225 for the ne

marta [7]

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This amount doesn't equal the principal so the problem could be worded incorrectly.

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3 years ago

The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level

aleksandrvk [35]

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.* (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level x