4/9 / 9/5= the answer is

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Answer:

20/81

Step-by-step explanation:

Without parentheses, it is hard to tell what you are dividing. We assume you want ...

(4/9)/(9/5)

Then ...

$\displaystyle\frac{\left(\frac{4}{9}\right)}{\left(\frac{9}{5}\right)}=\frac{4}{9}\cdot\frac{5}{9}=\frac{4\cdot 5}{9\cdot 9}=\frac{20}{81}$

_____

As written (without parentheses), your expression is evaluated left to right, so evaluates to ...

4/(9·9·5) = 4/405

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A sample of size 200 will be taken at random from an infinite population. given that the population proportion is 0.60, the prob

Musya8 [376]

Let p be the population proportion. 
We have p=0.60, n=200 and we are asked to find P(^p<0.58). 
The thumb of the rule is since n*p = 200*0.60 and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is considered to be large and hence the sampling distribution of sample proportion-^p will follow the z standard normal distribution. Hence this sampling distribution will have the mean of all sample proportions- U^p = p = 0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] = √[0.60*(1-0.60)/200] = √0.0012.
So, the probability that the sample proportion is less than 0.58
= P(^p<0.58)
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0...
= P(z<-0.58)
= P(z<0) - P(-0.58<z<0)
= 0.5 - 0.2190
= 0.281
So, there is 0.281 or 28.1% probability that the sample proportion is less than 0.58.