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3 years ago

Write an equivalent expression -3 + 2/3y - 4 - 1/3y

Mathematics

1 answer:

aliina [53]3 years ago

5 0

Answer:

join the y-related together and the others together

ie -7+1/3y

thats the shortest form one can drill down to, so that should be the answer

Step-by-step explanation:

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Find the area, in square meters, of an equilateral triangle with a perimeter of 36 m.

Citrus2011 [14]

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3 years ago

A car travels 258 miles in 312 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m

pashok25 [27]

Answer:

0.83 miles per minute

Step-by-step explanation:

The speed of the car can be found by dividing the distance by the time. THe distance is 258 miles and the time is 312 minutes.

$s=\frac{d}{t} \\s=\frac{258}{312} \\s=0.83$

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3 years ago

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alexandr402 [8]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in

tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.35$ estimated proportion (value assumed)

$p$ true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

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

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

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586$

And rounded up we have that n=350

4 0

3 years ago

The coefficient of determination is used to: compute correlations for truncated ranges. compare the relative strength of coeffic

kozerog [31]

Answer: compare the relative strength of coefficients.

Step-by-step explanation: The Coefficient of determination usually denoted as R^2 is obtained by taking the squared value of the correlation Coefficient (R). It's value ranges from 0 to 1 and the value obtained gives the proportion of variation in the dependent variable which could be attributed to it's correlation or relationship to th independent variable. With a R^2 value close to 1, this means a large portion of Variation in a variable A could be explained due to changes in variable B while a low value signifies a low variance between the variables. Hence, the Coefficient of determination is used in comparing the relative strength of the Coefficients in other to establish whether a weak or strong relationship exist.

6 0

3 years ago