The correlation coefficient would not change when the units of one of the variable are different in the two cases.
Always have to type 20 characters....
Answer:
12 mph
Step-by-step explanation:
The relationship between jogging speed and walking speed means the time it takes to walk 4 miles is the same as the time it takes to jog 8 miles. Then the total travel time (0.75 h) is the time it would take to jog 1+8 = 9 miles. The jogging speed is ...
(9 mi)(.75 h) = 12 mi/h . . . average jogging speed
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<em>Check</em>
1 mile will take (1 mi)/(12 mi/h) = 1/12 h to jog.
4 miles will take (4 mi)/(6 mi/h) = 4/6 = 8/12 h to walk.
The total travel time is (1/12 +8/12) h = 9/12 h = 3/4 h. (answer checks OK)
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<em>Comment on the problem</em>
Olympic race-walking speed is on the order of 7.7 mi/h, so John's walking speed of 6 mi/h should be considered quite a bit faster than normal. The fastest marathon ever run is on the order of a bit more than 12 mi/h, so John's jogging speed is also quite a bit faster than normal. No wonder he got tired.
Answer:
3
Step-by-step explanation:
f(3) = 3(3)-4
f(3)= 9-4
f(3) = 5
g(2) = (2)
g(2) = 2
f(3)-g(2) = ?
(5) - (2) = ?
(5) - (2) = 3
Answer:
18.1 inches
Step-by-step explanation:
A volleyball is spherical in shape, and the surface area of a sphere is giving by the formula
![The surface area of sphere=4\pi r^{2}](https://tex.z-dn.net/?f=The%20surface%20area%20of%20sphere%3D4%5Cpi%20r%5E%7B2%7D)
from the data giving, the surface area was calculated to be 227 square inches. from the above formula, we define the radius, r to be the subject of formula, we arrive at
![\sqrt{\frac{SA}{4\pi }} =r](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BSA%7D%7B4%5Cpi%20%7D%7D%20%3Dr)
if we substitute for the surface area, we arrive at
![r=\sqrt{\frac{227}{4\pi } } \\r=18.1inches](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cfrac%7B227%7D%7B4%5Cpi%20%7D%20%7D%20%5C%5Cr%3D18.1inches)
Hence the radius of the volleyball will be 18.1 inches