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soldier1979 [14.2K]
3 years ago
11

Draw 2 line segments, each 4 cm in length, intersecting at their midpoints. Connect each endpoint to each adjacent endpoint to f

orm a quadrilateral. What is the maximum number of square centimeters possible in the area of the quadrilateral?
Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

8

Step-by-step explanation:

The maximum area will be a square. Everything else will have a height less than one of the sides of the square.

Use Pythagoras to find the length of the side of the square.

s^2 = 2^2 + 2^2

s^2 = 8

s = 2sqrt(2)

s^2 = 8

the square will have 8 cm^2

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A manufacturer of a new medication on the market for Alzheimer's disease makes a claim that the medication is effective in 65% o
NeX [460]

Answer:

z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

\hat p=\frac{115}{180}=0.639 estimated proportion of adults with the medication was effective

p_o=0.65 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:  

Null hypothesis:p \geq 0.65  

Alternative hypothesis:p < 0.65  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

Statistical decision  

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. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

3 0
3 years ago
In his free time, Gary spends 14 hours per week on the Internet and 12 hours per week playing video games. If Gary has five hour
stepan [7]

Answer:

A.) 52%

Step-by-step explanation:

14+12=26

26/5=5.2

you now have 5.2, then you take the decimal and move it over to make a percentage.

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4 years ago
there were 600 sheep and goats in the hills. If the ratio of sheep to goats in 1 to 2, how many sheep are there
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If there is one sheep for every 2 goats then that means there are 400 goats and 200 sheep.
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Find the total surface area of the following cylinder: r=3 cm 3 cm SA = [? ]n cm2
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Answer:

<u>36</u>

Step-by-step explanation:

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