Answer:
Step-by-step explanation:
radius=4 as it is tangent to x-axis.
y co-ordinate of center is 4 so radius=4
eq. of circle is (x-2)²+(y-4)²=4²
or x²-4x+4+y²-8y+16=16
or x²+y²-4x-8y+4=0
 
        
             
        
        
        
The Greatest Common Factor of the given expression should be that expression that can divide both. First, factor both expression,
           x^4 = (x³)(x)      and x³ = (x³)(1)
Therefore, both can be factored by x³. The answer is the third choice. 
        
                    
             
        
        
        
Answer: 177.4999849 , or 56.5pi
Step-by-step explanation:
You simply divide the diameter by 2 to get the radius (28.25) and then plug into the circumference equation, 2*pi*r = Circumfrence.
 
        
                    
             
        
        
        
Kelly? Im not sure actually... Im going with Kelly but im probably wrong
        
                    
             
        
        
        
Answer:
Th computed value of the test statistic is 3.597
Step-by-step explanation:
The null and the alternative hypothesis is as follows:
Null Hypothesis: 
 the population correlation coefficient is equal to zero
 the population correlation coefficient is equal to zero
 the population correlation coefficient is not equal to zero
 the population correlation coefficient is not equal to zero
The test statistics for Pearson correlation coefficient is thus computed as :

where;
r = correlation coefficient = 0.60
n = sample size = 25
So;



t = 3.597
Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069
Decision Rule:
Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.
Conclusion:
We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.