Answer:
and 
Step-by-step explanation:
Blue:
The inequality for the blue line is

Yellow
The inequality for the yellow line is

This means that the correct answer is the third option,
and 
Answer:
500 minutes
Step-by-step explanation:
Ok, so the first thing we want to do is figure out how long it takes to complete one lap.
So if it takes 10 minutes to travel 2 laps lets find out how many minutes for one.
It would be 5 minutes for one lap, if you divide 10 by 2 because of the 2 laps.
Next, you just multiply the 5 minutes by 100 laps:
This gives you 500 minutes.
Hope this helps :)
Answer: C (Euclid is known as the Father of Geometry)
Answer:
The <em>p-</em>value of the test is 0.106.
The null hypothesis will be accepted at 5% level of significance.
Step-by-step explanation:
The hypothesis test is left-tailed.
The test statistic value is: <em>z</em> = -1.25.
The significance level of the test is: <em>α</em> = 0.05.
The <em>p</em>-value of a left-tailed hypothesis test is:

The <em>p-</em>value of the test is 0.106.
**Use the <em>z-</em>table for the probability.
<u>Decision rule:</u>
If the <em>p</em>-value is less than the significance level the null hypothesis will be rejected and if it is more than the significance level the null hypothesis will be accepted.
The <em>p</em>-value = 0.106 > <em>α</em> = 0.05.
The null hypothesis will be accepted at 5% level of significance.
Since f and g are parallel to eachother, the sum of the angle 7x and 2x+36 would equal 180. To solve for x, you add 7x+2x+36, set it equal to 180, and then solve for x.
x= 16