Answer: 
Step-by-step explanation:
You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:
You know that:
Then KE is:
Now you can substitute the value of KE and the value of KH into and solve for JK. Then the result is:
Answer:
To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time. If it is touching more than one point on the line at a time, the line is not a valid function. The first line and its inverse both pass the test.
Step-by-step explanation:
20,000 will be the population 40 years from now.
=7x^4+15x^3+4y^2 I hope this helps!!
Answer:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of 
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
