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3 years ago

What is the volume of a pencil

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Around 19.05 centimeters or 7.4 inches

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+<br> Find the product of -3, 0.5, and -1.6

kherson [118]

-4.1
-3+0.5+-1.6= -4.1

8 0

3 years ago

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Alex Ar [27]

Answer:

$y=-2.86 x +228.84$

Step-by-step explanation:

We assume that the data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 53, 22, 35, 38, 166, 13, 185, 25

Find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 50+ 55+ 50+ 79+ 44+ 37 +70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152 + 53 + 22 + 35 + 38 + 166 + 13 + 185 + 25=689$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 53^2 + 22^2 + 35^2 + 38^2 + 166^2 + 13^2 + 185^2 + 25^2=91641$

$\sum_{i=1}^n x_i y_i =50*152+ 55*53+ 50*22+ 79*35+ 44*38+ 37*166 +70*13+ 45*185+ 49*25=32654$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.56$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=32654-\frac{479*689}{9}=-4016.11$

And the slope would be:

$m=-\frac{4016.11}{1403.56}=-2.86$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.22$

$\bar y= \frac{\sum y_i}{n}=\frac{689}{9}=76.56$

And we can find the intercept using this:

$b=\bar y -m \bar x=76.56-(-2.86*53.22)=228.84$

So the line would be given by:

$y=-2.86 x +228.84$

8 0

4 years ago

A lightning bug flies at a velocity of 0.25 m/s due east toward another lightning bug seen off in the distance: A light easterly

aev [14]

Consider velocity due east as along the positive x-axis.

Therefore.
The velocity of the bug is, v = + 0.25 m/s
The easterly breeze has velocity, u = - 0.25 m/s

The resultant velocity of the bug is
v + u = 0.25 + (-0.25) = 0.25 - 0.25 = 0.00

Answer: A. 0.00 m/s

6 0

3 years ago

HELP ME PLEASSSSEEEE

zalisa [80]

Get Socratic it’ll help

7 0

3 years ago

PLEASE HELP ME I DON’T UNDERSTAND

SIZIF [17.4K]

Answer:

460

Step-by-step explanation:

If 207 students are going to college means that 207 are the 45% of the students that are going to college we need the total number of students that were in the graduating class so,

$Total Students=\frac{207}{0.45} \\\\Total Students=460$

So there are 460 students in the graduating class and 45% of them are going to college which is 207

4 0

3 years ago