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kari74 [83]
3 years ago
14

What is the period of the function below?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

Answer:

4

Step-by-step explanation:

looking at highest peaks

10 - 6 = 4

6 - 2 = 4

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A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

Step-by-step explanation:

State the null and alternative hypotheses to be tested  

On this case we can assume that the researcher conduct a one right tailed test hypothesis like on this way:  

Null hypothesis:\mu \leq \mu_o  

Alternative hypothesis:\mu > \mu_o

The statistic for this case is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

On this case we have the value for z score given z =+1.85

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05,0.01. The next step would be calculate the p value for this test.  

Since is a one right tail test the p value would be:  

p_v =P(z>1.85)=1-P(Z  

If we compare the p value obtained and the significance level given \alpha=0.05,0.01 we can take a decision:

A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

YES, since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level. And for the significance level 0.05 we have that p_v and we can reject the null hypothesis.

B) The researcher should reject the null hypothesis with either a = .05 or a = .01.

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C) The researcher should fail to reject H0 with either a = .05 or a = .01.

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D) This cannot be answered without additional information.

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4 0
3 years ago
Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20
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Answer:

\displaystyle y = x^{-\frac{2}{3}}

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. \log(pq)=\log p+\log q

2. \displaystyle \log_pq=\frac{1}{\log_qp}

3. \displaystyle \log p^q=q\log p

We are given the equation:

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Operating:

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Rearranging:

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Simplifying:

\displaystyle -2\log_{2}(x) =3\log_{2}(y)

Dividing by 3:

\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}

Applying the third property:

\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)

Applying inverse logs:

\boxed{y = x^{-\frac{2}{3}}}

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Answer:

Step-by-step explanation:

First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)

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