There is so solution to this problem
        
             
        
        
        
Answer:
21:27 and 14:18
Step-by-step explanation:
We can solve this by using common factors 
one of the common factors of 54 and 42 is 3
42/3=14
54/3=18
so one of the ratios is 14:18
another common factor is 2
42/2=21
54/2=27
so another ratio is 21:27
 
        
             
        
        
        
Answer:
its below
Step-by-step explanation:
5/(6*7)=5/(6*7*6*5*4*3*2*1)=1/(6*7*6*4*3*2*1)=1/6048=0.0001653439
 
        
             
        
        
        
Answer:
90
Step-by-step explanation:
 
        
             
        
        
        
Answer:
c. [1.771;4.245] feet
Step-by-step explanation:
Hello!
The variable of interest is
X: height of a student at UH
X~N(μ;σ²)
You have to estimate the population standard deviation using a 95% confidence interval.
The statistic to use for the interval is a student Chi-Square with n-1 degrees of freedom. First you have to calculate the CI for the population variance:
![[\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28n-1%29S%5E2%7D%7BX%5E2_%7Bn-1%3B1-%5Calpha%20%2F2%7D%7D%20%3B%5Cfrac%7B%28n-1%29S%5E2%7D%7BX%5E2_%7Bn-1%3B%5Calpha%20%2F2%7D%7D%20%5D)


n=12
S= 2.5
![[\frac{11*6.25}{21.920} ;\frac{11*6.25}{3.816}} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B11%2A6.25%7D%7B21.920%7D%20%3B%5Cfrac%7B11%2A6.25%7D%7B3.816%7D%7D%20%5D)
[3.136; 18.016] feet²
Then you calculate the square root of both limits to get the CI for the population standard deviation:
[√3.136; √18.016] 
[1.771;4.245] feet
I hope this helps!