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2 years ago

Fourteen runners in a marathon had these race times, in hours,

Mathematics

1 answer:

Ymorist [56]2 years ago

7 0

Answer:

Please find attached the histogram for the marathon runners

Step-by-step explanation:

The given data is presented as follows;

2.21

2.25

2.76

3.1

3.3

3.5

3.6

3.77

3.8

4.23

4.25

4.6

4.9

From the data, we have;

The frequency or number of runners that run between 0 and 1 hour = 0

The frequency or number of runners that run between 1 and 2 hours = 0

The frequency or number of runners that run between 2 and 3 hours = 3

The frequency or number of runners that run between 3 and 4 hours = 6

The frequency or number of runners that run between 4 and 5 hours = 5

With the above frequencies for the different data ranges, the histogram of the given data is then constructed as attached.

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Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? –8x = 328x

galben [10]

A) The result of adding the two equations is
.. (2.5y +3x) +(5x -2.5y) = (27) +(5)
.. 8x = 32 . . . . . . . . . . . . . . . . . . . . . . . your 2nd selection

b) The solution to the system is (4, 6), your 4th selection.
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2 years ago

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The amount of bacteria in a Petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter

Len [333]

Answer:

C. 270 grams

Step-by-step explanation:

-This is an exponential growth function which can be expressed using the formula:

$P_t=P_oe^{rt}$

Where:

$P_t$ is the size at time t.
$P_o$ is the initial size
$r$ is the growth rate
$t$ is the time

Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:

$30=10e^{2r}\\\\3=e^{2r}\\\\r=\frac{In \ 3}{2}\\\\=0.54931$

We use this calculated rate to determine the population at t=6

$P_t=P_oe^{rt}\\\\=10e^{6\times \frac{In \ 3}{2}}\\\\=270\ grams$

Hence, the bacteria's size at t=6 is 270 grams

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2 years ago

Kelly and Greta are asked to write an equation for the scenario below. “One person was able to plant 4 trees in the same amount

Oduvanchick [21]

<u>Answer:</u> Greta is correct.

<u>Explanation:</u>

Greta is correct sine you can substitute different number of people for each of the values of and y and check that each person will still plant 4 trees.

For example:

4x = 4(1) = 4 trees; and

4 x 5 = 20

but you should follow a certain pattern to increase the value of x, such that every foe every value of x, one person is able to plant 4 trees.

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2 years ago

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A score that is 6 points below the mean corresponds to a z-score of z = 22.00. What is the population standard deviation?

pochemuha

Answer:

<h2>Standard deviation is a measure of how spread out of numbers are:</h2>

Step-by-step explanation: