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pshichka [43]
3 years ago
15

Use the graph below to answer the question that follows: trig graph with points at 0, 2 and pi over 2, 0 and pi, negative 2 and

3 pi over 2, 0 and 2 pi, 2 and 5 pi over 2, 0 and 3 pi, negative 2 What trigonometric function represents the graph?
f(x) = −2 cos(x − pi over 2) f(x) = −2 sin(x − pi over 2) f(x) = 2 cos(x − pi over 2) f(x) = 2 sin(x − pi over 2)

What trigonometric function represents the graph?

 f(x) = −2 cos(x − pi/2) 
 f(x) = −2 sin(x − pi/2 )  
f(x) = 2 cos(x − pi/2)  
f(x) = 2 sin(x −pi/2 )

Mathematics
2 answers:
grigory [225]3 years ago
5 0

That would be  f(x) = -2sin(x - pi/2)

ahrayia [7]3 years ago
3 0

Answer:

f(x) = −2 cos(x − pi over 2)

Step-by-step explanation:

Because the absolute value of -2 is 2,and cos starts at its maximum

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If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

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 retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

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Step-by-step explanation:

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x²=<u> </u><u>530</u><u>4</u>

<u>x</u><u>=</u><u> </u><u>72.83</u>

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