Using the Empirical Rule, it is found that 229 batteries have lifetimes between 3.0 hours and 3.4 hours.
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By the Empirical Rule, in a normal variable: 68% of the measures are within 1 standard deviation of the mean, 95% are within 2 and 99.7% are within 3.
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- Mean of 3.2 hours with a standard deviation of 0.2 hours.
3 = 3.2 - 2(0.1)
3.4 = 3.2 + 2(0.1)
- Thus, between 3 and 3.4 hours is <u>within 2 standard deviations of the mean</u>, which is 95%.
- Out of 241 batteries:
229 batteries have lifetimes between 3.0 hours and 3.4 hours.
A similar problem is given at brainly.com/question/24552083
Step-by-step explanation:
1 = 18
5 = 18 x 4
0.5 = 0.092
3.5 = 0.06
Answer: Infinite solutions.
The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.
<h3>Which is the required graph?</h3>
Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.
- A function f will be periodic with period n,
f (a + n) = f (a), ∀ n > 0.
After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.
- For example: the period of sin a is 2π for the reason that the smallest number satisfying sin (a + 2π) = sin a is 2π, for all a.
Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).
For a function y = sin bx, period is given by,
P = 2π/b
Here function is y = sin 0.5x, therefore b = 0.5
P = 2π/0.5
=20π/5
= 4π
Period is 4π. The first graph has period 4π.
Hence the graph of the function y = sin 0.5x is option A.
Learn more about period of graph:
brainly.com/question/19500808
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Which could be the graph of the function y = sin 0.5x?
