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Anastaziya [24]
4 years ago
13

Докажите тождество 3 n ( 3 m − 2 n ) + 6 m 2 = ( 6 m − 3 n ) ( 2 n + m ) .

Mathematics
1 answer:
valentina_108 [34]4 years ago
5 0

Answer:

The answer is 0

Step-by-step explanation:

3n(3m-2n) + 6m^2= (6m-3n)(2n+m)

By expansion

9mn - 6n^2 + 6m^2 = 12mn + 6m^2 -6n^2 - 3mn

By collecting like terms

9mn - 12mn + 3mn - 6n^2 + 6n^2 + 6m^2 - 6 m^2 = 0

-3mn + 3mn=0

Therefore the simplification of the expansion gives us 0

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Nuetrik [128]

Answer:

Step-by-step explanation:

<h2>C A L C U L A T I O N S</h2>
4 0
3 years ago
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
What is 9.773 divided by 0.12
Verizon [17]

Answer:

9.773÷0.12=81.44166667

3 0
3 years ago
Read 2 more answers
Can you answer questions 71, and 72?
antiseptic1488 [7]
I think 71 is B
and 72 is D.

6 0
3 years ago
Given that 7 x − 2 y = 35 Find y when x = − 9
Sergio [31]

so x = minus 9

then

7 × (-9) - 2y = 35

-63 - 2y = 35

-2y = 35 plus 63

-2y = 98

- y = 49

y = -49

3 0
3 years ago
Read 2 more answers
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