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Sergeu [11.5K]
3 years ago
9

Which phrase best describes the scatterplot below? strong negative correlation strong positive correlation weak negative correla

tion weak positive correlation

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

*the scatter plot of the question is attached below

Answer:

Strong negative correlation

Step-by-step explanation:

In the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.

Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.

Therefore, the phrase that best describes the scatter plot is: strong negative correlation.

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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
On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.
Reil [10]

9514 1404 393

Answer:

  A

Step-by-step explanation:

You can use x=0 and x=1 to find points that must be on the graph.

  f(0) = 16·0.5^0 = 16

  f(1) = 16·0.5^1 = 8

Only graph A matches these points.

7 0
3 years ago
The slopes of perpendicular lines are? will give brainliest for correct answer ​
Murrr4er [49]

Answer:

opposites

Step-by-step explanation:

5 0
3 years ago
The table below shows the amounts of lemon juice and sugar used in each container of lemonade. The ratio of lemon juice to sugar
stira [4]
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.

For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.

The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.

The unit rate is 2 cups sugar per cup of lemon juice.
5 0
3 years ago
Read 2 more answers
David, Morris, and Jose are the stars of the schools’ basketball team. In the last game, David earned twice as many points as Mo
Alexus [3.1K]

Answer:

Since he earned one third as many as Jose

it's 8

Step-by-step explanation:

  • \frac{1}{3}  \times 24 = 8
3 0
3 years ago
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