First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
26 and 27
Step-by-step explanation:
Let the numbers be x and y
x + y = 53
xy = 702
x = 702/y
702/y + y = 53
Multiply through by y
702 + y^2 = 53y
y^2 - 53y + 702 = 0
y^2 - 27y - 26y + 702 = 0
y(y - 27) - 26(y - 27) = 0
(y - 27) (y - 26) = 0
y = 26 or 27
Solve for x in x + y = 53
if y = 26,
x = 53 - 26 = 27
if y = 27,
x = 53 - 27 = 26
The numbers are 26 and 27
Answer:
25th percentile = 202
80th percentile = 285
Step-by-step explanation:
Rearranging the values in increasing order
164
171
175
202
217
226
231
241
257
261
269
273
285
296
311
N = total number of variables = 15.
25th percentile = [(N + 1)/4]th variable = (15 + 1)/4 = 4th variable.
So, the 25th percentile = 4th variable = 202.
80th percentile = 0.8(N + 1) th variable = 0.8 × (15 + 1) = 12.8th variable = 13th variable = 285
