Answer: simple random sampling
Step-by-step explanation:
In statistics, when a subset of individuals known as sample chosen from a population by a random selection of individuals such that the chances of selecting each individual is same, then the sampling method is called simple random sampling method.
Given: To assess the learning outcomes of a Statistic course, 5 students are chosen at random from each of the 30 Statistics classes.
here chances for selectin students is same.
The sampling method used here : " simple random sampling "
Answer: 141
Step-by-step explanation:
Let p be the population proportion of adults over 50 never graduated from high school.
As per given , we have
Prior estimate of proportion for adults with 5 to 30 age graduated from high school group : p= 0.25
Significance level : ![\alpha: 1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.90%3D0.10)
Critical z-value : ![z_{\alpha/2}=1.645](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.645)
Margin of error : E= 0.06
Sample size will be :-
![n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(1-0.25)(\dfrac{1.645}{0.06})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2%5C%5C%5C%5C%3D0.25%281-0.25%29%28%5Cdfrac%7B1.645%7D%7B0.06%7D%29%5E2)
Simplify ,
![n=140.938802083\approx141](https://tex.z-dn.net/?f=n%3D140.938802083%5Capprox141)
Hence, the required sample size younger age group be surveyed = 141
Answer:
c = 2 , d = 3
Step-by-step explanation:
(2y^3)(9y^3) = 18y^6
C² =16c-32
c²+16c-32=0
(c-4)²=0
c-4 =0
c-4 +4 =0+4
c = 4
b. one rational solution