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DaniilM [7]
4 years ago
11

Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g

Mathematics
1 answer:
grin007 [14]4 years ago
8 0

Answer: k 2 + 3 g − 6

hope this helps

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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
Adam is an opera singer. Below are the number of times that his voice cracked during each of six concerts
Gre4nikov [31]

In this picture dots are clearly shown the frequency of the concert.

<h3>What is Frequency?</h3><h3>Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.</h3>

Here, in given data about the six concerts

Concerts              Frequency

    0                              2

    1                               2

    2                              1

    3                              1

Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.

Learn more about Frequency from:

brainly.com/question/5102661

#SPJ1

3 0
2 years ago
How do I know if these two lines are parallel or not
Alona [7]
They are because they are even and the exact same
6 0
3 years ago
Read 2 more answers
Last summer, Brianna planted 2 plants
Volgvan

Answer: how many square feet are there? multiple each square foot by 2

Step-by-step explanation:

4 0
3 years ago
Which of the following are square roots of 265
Studentka2010 [4]

Answer:

Step-by-step explanation:

5 0
3 years ago
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