Answer:
130°
Step-by-step explanation:
In the image below there are explanations. It’s also a lot easier to find your answer when you write out what you are given.
The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>
note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2
Answer:
C. Bottling plant B (with 175,000 sports drinks per day), because the daily mean will be closer to 20 fluid ounces with more sports drinks in the sample.
Step-by-step explanation:
The general rule is that the larger the sample, the closer the sample mean will be to the population mean. This happens because the standard deviation of our sample is given by the following formula:
In which is the standard deviation of the mean volume of all of this type of sports drinks and is the size of the sample. So as increases, the less variation there will be, and the closer the sample mean will be to the population mean, that is, the closer the population mean is going to be closer to a mean volue of 20 fluid ounces.
So, the correct answer is:
C. Bottling plant B (with 175,000 sports drinks per day), because the daily mean will be closer to 20 fluid ounces with more sports drinks in the sample.
Answer: Philips age is 20. Bryans age is 15
Step-by-step explanation: