Answer: The person next to you ate more popcorn.
Step-by-step explanation:
3 divided by 4 is 0.75, which is equivalent to 75%. 4 divided by 5 is 0.8, which is equivalent to 80%. Now that you've calculated the percentages of how much they ate, you can assume that 80 > 75 (80 is greater than 75).
Answer:
a) Table and graph showed
b) The distance will be 231 miles
c) Yes
Step-by-step explanation:
We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as
D(g)=22g, being g the number of gallons of gas used
a) The graph of the function D and its corresponding table of values is shown below.
b) If the van used g=10.5 gallons of gas, the distance would be:
D(10.5)=22 x 10.5 = 231 miles
c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.
Answer:
Step-by-step explanation:
A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.
- If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
- The closer it is to -1 or 1, the stronger the relationship.
Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.
Step-by-step explanation:
The last one.
-5 is notht included but 6 is.
<h3>
Answer: Approximately 13 square units (choice B)</h3>
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Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
