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3 years ago

What is the image of the point (2,8) after a rotation of 270° counterclockwise about the origin?

Mathematics

1 answer:

jarptica [38.1K]3 years ago

8 0

Answer:

(8,-2)

Step-by-step explanation:

270 counterclockwise is the same as 90 clockwise. Rotate on a graph.

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3 years ago

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IceJOKER [234]

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3 years ago

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3 years ago

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Isaac paid $81 for a new surfboard. The amount paid was 60% of his total savings. How much money did he have in his savings befo

Flauer [41]

Answer:

$135

Step-by-step explanation:

Given data

Amount paid for new surfboard= $81

Percentage of the savings paid= 60%

Let the amount of the savings be x

Hence

60% of x= 81

60/100*x= 81

0.6x=81

x= 81/0.6

x=$135

Hence his savings was $135

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3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

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:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

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 $1 - 0.075 = 0.925$ , so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago