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zaharov [31]
3 years ago
5

How many times can a honeybee beat its wings in 1 hour

Mathematics
2 answers:
Marat540 [252]3 years ago
4 0
<span>Its wings beat 230 times every second
Therefore 
320 x 60 = 19200
19200 x 60 = 1152000

Your answer is 1152000.

</span>
Burka [1]3 years ago
3 0
<span>"A scientist in 1947 determined that your average worker honey bee beats its wings at the rate of 208 to 277 beats per second. That adds up to 12,480 to 16,820 beats per minute."  </span>
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Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]

Answer:

The function is y~=~12 ~-~ 0.5 \cdot x.

The slope is m=-0.5.

The y-intercept is b=12.

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

y=mx+b

We have the following data:

\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}

To find the line of best fit for the points given, you must:

Step 1: Find X\cdot Yand X\cdot X as it was done in the table below.

Step 2: Find the sum of every column:

\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}

The graph of the regression line is:

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3 years ago
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Step-by-step explanation:

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2 years ago
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