What is the angular velocity of a point that rotates through

Mathematics

1 answer:

ivann1987 [24]2 years ago

6 0

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = $\frac{\triangle \theta}{\triangle t}$

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = $\frac{7\pi }{2}$ radians and Δt = 24 seconds

Therefore, angular velocity = $\frac{\frac{7\pi }{2} }{24}$

= $\frac{7\pi }{48}$ radians per second

Option A is the answer.

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The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.09 and a standard deviatio

WINSTONCH [101]

Answer:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 4.09$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02$

So the best answer for this case would be:

$\bar X \sim N (4.09, \frac{0.08}{\sqrt{16}}= 0.02)$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the costs of unleaded gasoline of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.09,0.08)$