Answer:
√87 = q × q = q2
Step-by-step explanation:
The fifth barrel holds 10 liters so minus 10 from 200
Then, 190 divided by 4 equals 47.5
1 barrel holds at least 47.5 liters
The Venn diagram is not included, so I am going to explain the procedure and you will be able to calculate the result just plugging the numbers.
From Vend diagram you will be able to conclude two numbers:
1) the total number os students surveyed that participate in band (B)
2) the total number of students surveyed that participate in track (T)
3) the total number of students surveyed that participate in both band (B) and track (T) = B∩T
4) ) the total number of students surveyed, which is: total number of students in band B + total number of students in track - less the number of students that participate in both. = B + T - (B∩T)
So, the probability that one student that participate in band (B) also participate in track (T) =
Number of students that participate in both / number of students that participate in band = (B∩T) / B
Now, you just have to find B∩T and B from the diagram and plugg in into the formula (B∩T)/B. That's it.
<h3>
Answer: A) Parallel </h3>
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Explanation:
I've highlighted lines m and k in red (see diagram below). We'll ignore the other lines. On those red lines, I've added blue points with their coordinate locations.
Line m has point A = (-3, 5) and B = (-1, -3). Let's use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-3-5)/(-1-(-3))
m = (-3-5)/(-1+3)
m = -8/2
m = -4
The slope of line AB, aka line m, is -4.
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Line k has points C = (1, 5) and D = (3, -3) on it. We'll use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-3-5)/(3-1)
m = -8/2
m = -4
The slope of line CD, aka line k, is -4
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Both lines m and k have the same slope of -4. Therefore, the two lines are parallel. Parallel lines always have the same slope, but different y intercepts. So these lines will never intersect one another.
