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 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.
Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.
Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.
Answer:

Step-by-step explanation:
we need to find the equation of the parabola with vertex (-5,3), with axis parallel to the x-axis.
general equation of horizontal parabola is

where (h,k) is the vertex
(-5,3) is the vertex. h=-5 and k=3. plug in the values in the general equation

Now find out the value of 'a' using x intercept (4,0)



Add 5 on both sides

a=1
the equation becomes
