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blsea [12.9K]
3 years ago
9

I need help completing this problem ASAP

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

4/(√<em>x</em> - √(<em>x</em> - 2)) × (√<em>x</em> + √(<em>x</em> - 2))/(√<em>x</em> + √(<em>x</em> - 2))

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / ((√<em>x</em>)² - (√(<em>x</em> - 2))²)

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / (<em>x</em> - (<em>x</em> - 2))

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / (<em>x</em> - <em>x</em> + 2)

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / 2

= 2 (√<em>x</em> + √(<em>x</em> - 2))

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A researcher thinks that a person's mood has an effect on how helpful that person is likely to be. To test this, the researcher
eimsori [14]

Answer:

One possible confound for the experiment is the attitude of the research assistants.

Step-by-step explanation:

A confounder simply means a variable that has impact in influencing both the dependent variable and independent variable, causing a spurious association.

So, we can conclude that the attitudes of the research assistants have positive and negative impacts in determining the reactions of both participants in the experiment.

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3 years ago
Find the value of x in 4:x::x:16
AnnyKZ [126]

Given:

4:x::x:16

To find:

The value of x.

Solution:

We have,

4:x::x:16

It means, we have

4:x = x:16

It can be rewritten as

\dfrac{4}{x}=\dfrac{x}{16}

On cross multiplication, we get

4\times 16=x\times x

64=x^2

Taking square root on both sides.

\pm \sqrt{64}=x

\pm 8=x

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4 0
3 years ago
The Pew Research Center reported that 73% of Americans who own a cell phone also use text messaging. In a recent local survey, 1
AnnZ [28]

Answer:

z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

Step-by-step explanation:

Information provided

n=200 represent the sample size slected

X=155 represent the cell phone owners used text messaging

\hat p=\frac{155}{200}=0.775 estimated proportion of cell phone owners used text messaging

p_o=0.73 is the value to verify

\alpha=0.1 represent the significance level

We need to conduct a z test for a proportion

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:

Null hypothesis:p=0.73  

Alternative hypothesis:p \neq 0.73  

The statistic to check this hypothesis is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

6 0
3 years ago
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