Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is
The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):
That's standard form; let's plug in the numbers:
Ron walks 1/2 mile in 10 minutes. There are six 10 minute intervals in an hour 60 divided by 10 is 6. So, therefore he can walk 1 mile in 20 minutes, 1/3 of an hour and a total of 3 miles per hour.
3 x 20 = 60.
Stevie walks 1/4 of a mile in 6 minutes, so that's 12 minutes to walk 1/2 mile. 60/12=5
Stevie can walk 5 half miles which transfers to 2 1/2 miles per hour.
Answer:
The interquartile range is 5.
Step-by-step explanation:
Ah, a throwback to interquartile range... let me help :)
4,5,6,8,9,10,11,12
First, you need to know how to use the IQR. The interquartile range is basically known as the process of subtracting the upper quartile and the lower quartile of a set of data. The lower quartile should be written as Q1, and the upper quartile would be labeled as Q3. This would make the midpoint (median) data set Q2, and the highest possible point would be labeled Q4. Next, you have to always understand what you are looking at. For example, let's split the set 5,6,7,8,9,10,11,12 into groups. 5 and 6 would be Q1, 7 and 8 would be Q2, 9 and 10 would be Q3, and last but not least, 11 and 12 would be labeled as Q4. Now take Q1 and subtract it from Q3 and that is how you get your IQR.
Answer:
The last one.
Step-by-step explanation: Because 1/2 divided by 4 = 1/8 and 1/2 x 4/1 = 2
16
divide 12 by 3 since its 3/4 of the whole thing so 1/4=4
