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Inessa05 [86]
3 years ago
8

What type of correlation is shown in the scatter plot?

Mathematics
2 answers:
Mila [183]3 years ago
8 0
A scatterplot is used to represent a correlation between two variables. There are two types of correlations: positive and negative. Variables that are positively correlated move in the same direction, while variables that are negatively correlated move in opposite directions.
rusak2 [61]3 years ago
4 0
There are three types of correlation: positive, negative, and none (no correlation). Positive Correlation: as one variable increases so does the other. Height and shoe size are an example; as one's height increases so does the shoe size. Negative Correlation: as one variable increases, the other decreases.
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3x +2y=6 solve for Y
ololo11 [35]

Answer:

y = \frac{6-3x}{2}

Step-by-step explanation:

Given

3x + 2y = 6 ( subtract 3x from both sides )

2y = 6 - 3x ( divide both sides by 2 )

y = \frac{6-3x}{2}

8 0
3 years ago
The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
The perimeter of a stop sign is 96
Fittoniya [83]

Answer:

x = 44

Step-by-step explanation:

4+4+2x+2x= 96

-(add like terms)

8+4x=96

-(subtract 8 from both sides)

4x=88

-(divide by 4 on both sides to get you x alone)

x=44

4 0
3 years ago
Read 2 more answers
Find the value of x.<br> Right triangle: Hypotenuse is 11, base is x, angle is 22 degrees.
kirill [66]
We know that the trigonometric identity that uses the adjacent side and the hypotenuse is cosine. We can set this up as:
cos(22) =  \frac{x}{11}

We need to solve for x, so let's isolate it:
x = 11cos(22) = 10.2

So, x = 10.2 units
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3 years ago
For the function, make a table with integer values of x from -2 to 2. Then graph the function.
Fittoniya [83]

Answer:

tu mam4 se corrio en mis piernas

Step-by-step explanation:

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2 years ago
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