Answer:
answer a
Step-by-step explanation:
< 
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.

- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating
, but if this confuses you, just do your math and keep the inequality there.
< 
- On a number line, this would include every number <em>less than </em>
, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>
. But, how do we decide between answers a and c? - If a line has point at its beginning,
, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
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.
4) (log3)14/(log3)4
hope dis helps<span />
Answer:
x = 12
Step-by-step explanation:
First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.
Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.
Next get x alone by making the equation: x=tan^-1(5/23).
Then put it into the calculator and round to get 12.