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3 years ago

For y=-2sin(8x)-12, find the period:

Mathematics

1 answer:

vichka [17]3 years ago

6 0

<h2>Explanation:</h2><h2></h2>

Any sine function can be written as:

$y = A sin(B(x + C)) + D$

Where:

$amplitude \ is \ A \\ \\ period \ is \ 2\pi /B \\ \\ phase \ shift \ is \ C \\ \\ vertical \ shift \ is \ D$

So here we have:

$y=-2sin(8x)-12$

By comparing, we can calculate the period as follows:

$T:Period \\ \\ \\ T=\frac{2\pi}{B}=\frac{2\pi}{8} \\ \\ \therefore \boxed{T=\frac{\pi}{4}}$

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Answer:

Step-by-step explanation:

Given

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4 years ago

A local pizza store knows the mean amount of time it takes them to deliver an order is 45 minutes after the order is placed. The

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Answer:

We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:

Null hypothesis: $\mu =45$

Alternative hypothesis: $\mu \neq 45$

Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=48$ represent the sample mean

$s=10$ represent the sample standard deviation

$n$ sample size

$\mu_o =45$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:

Null hypothesis: $\mu =45$

Alternative hypothesis: $\mu \neq 45$

Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.

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4 years ago

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