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2 years ago

A scientist counts the number of bacteria colonies growing in each of six lab dishes.

Physics

2 answers:

Vsevolod [243]2 years ago

5 0

Hi!

The correct answer is: C. It is the data value that appears the most often in the set.

<h3>Explanation</h3>

The mode of a set of values is the number which is the most frequently appearing, or most repeating value in the range. The numbers that show one time each are

A - 16 , C - 25 , D - 3

While 13 appears three times with the dishes labelled

B , E and F

So, the value that appears the most times is 13, and hence 13 is taken as the mode of this data set

<h3>Hope this helps!</h3>

Dafna1 [17]2 years ago

4 0

Answer:

the answer is c It is the data value that appears the most often in the set.

Explanation:

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1 year ago

The outer layer of cable on a cable reel is 16.2 cm from the center of the reel. The reel is initially stationary and can rotate

ahrayia [7]

Answer:

B. w=12.68rad/s

C. α=3.52rad/s^2

Explanation:

We can solve this problem by taking into account that (as in the uniformly accelerated motion)

$\theta=\omega_{0}t+\frac{1}{2}\alpha t^{2}\\\theta = \frac{s}{r}$ ( 1 )

where w0 is the initial angular speed, α is the angular acceleration, s is the arc length and r is the radius.

In this case s=3.7m, r=16.2cm=0.162m, t=3.6s and w0=0. Hence, by using the equations (1) we have

$\theta=\frac{3.7m}{0.162m}=22.83rad$

$22.83rad=\frac{1}{2}\alpha (3.6s)^2\\\\\alpha=2\frac{(22.83rad)}{3.6^2s}=3.52\frac{rad}{s^2}$

to calculate the angular speed w we can use $\alpha=\frac{\omega _{f}-\omega _{i}}{t _{f}-t _{i}}\\\\\omega_{f}=\alpha t_{f}=(3.52\frac{rad}{s^2})(3.6)=12.68\frac{rad}{s}$