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3 years ago

2. A student measured the mass and volume of three different-sized samples of sand. He then calculated the

Mathematics

1 answer:

Aleks04 [339]3 years ago

3 0

9514 1404 393

Answer:

we expect the results to have less spread

Step-by-step explanation:

The spread between the maximum and minimum is almost 1/3 of the average of those values (0.8 vs 2.6). We expect repeated measurements of the same physical value to be well within 5% of their mean if they are done carefully.

The investigation has errors because the spread is too great.

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Find the slope of the line passing through the points (-2,-2) and (6,-2). slope

kap26 [50]

Answer:

0/8

Step-by-step explanation:

Slope equals y 2 minus y 1 divided by x 2 minus x 1

-2-(-2)/6-(-2)

0/8

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2 years ago

The number of newly reported crime cases in a county in New York State is shown in

JulsSmile [24]

Answer:

The linear regression equation that represents the set of data is:

$y=1083.48+23.73x$

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

$y=a+bx$

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

Compute the values of a and b as follows:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}$

The linear regression equation that represents the set of data is:

$y=1083.48+23.73x$

Compute the predicted value of the number of new cases for 2013 (i.e. x = 12) as follows:

$y=1083.48+23.73x$

$=1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368$

Thus, the predicted number of new cases for 2013 is 1368.

8 0

3 years ago

The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and

olchik [2.2K]

Answer:

{3, 5, 7, 9, 11}

Step-by-step explanation:

Domain of a function is the set of all the allowable values that can be used as an input to the function. In easy words, we can just say this: The set of all the inputs to a function comprises the Domain of the function.

Domain consists of the values of independent variable on which some other variable depends and give some output result. From the given table we can see that there are two variables: Number of hours(x) and the Cars Produced(y).

Number of cars produced depend on the number of hours the auto factory remains open. So, number of hours is the independent or the input variable and all the values of this variable will form the Domain of the function represented by the table.

So, the Domain of the function is: {3, 5, 7, 9, 11}

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