Assume that 25% of all households in Santa Clara county have a burglar alarm (population characteristic). A random sample of 200 Santa Clara county households is taken. What is the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm

The probability is  

Step-by-step explanation:

From the question  we are told that

   The population proportion is  p =  0.25

   The sample size is  n  =  200  

Generally given that the sample size is large the mean of this sampling distribution is mathematically represented as

 Generally the standard deviation is mathematically represented as

=>    

=>    

Generally the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm is mathematically represented as  

=>  

=>  

From the z table  the area under the normal curve to the left corresponding to  1.6329 and  -1.6329  is

and

So

=>

this is answer of 144 cubic meters

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation