Answer:
Step-by-step explanation:
Given
Required
Find x
The area is calculated as thus:
Substitute values
Multiply through by 2
Remove absolute sign
Add 6 to both sides
Divide by 3
<em>So, the coordinates are (-8, 11) or (12,11)</em>
Answer:
62.8
Step-by-step explanation:
the circumference is equal to the radiusx2xpi
it gives us the diameter but not the radius
to find the radius from the diameter we just divide it by 2 so the radius is 10
then we just do 10x2x3.14 which is 62.8
Translations of geometric figures in the coordinate plane can be determined by translating the x- and y-coordinates of points. Horizontal and vertical translations are the easiest. ... Solution: A horizontal translation just changes the x-coordinates of all points, so the rule is (x, y) à (x + 3, y).
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
Function since its passing the vertical line test
