A^-b is the same as 1/a^b.
When there is a negative power, place the number and power over 1.
a^b/a^c = a^(b-c).
c is a negative power, because it is being divided, and is underneath b, which is a positive (and so it stays in the numerator).
a^c/b^c = (a/b)^c
Inside this one, the power of c is distributed to all numbers inside the parenthesis, in this case a and b.
hope this helps
Answer:
A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out of the first stop, it is now climbing toward its highest point from the ground. During which time interval will the ski lift reach a height over 50 feet above the ground?
(a.)
Mean= sum / n
Mean= (123+116+122+110+175+126+125+111+118+117) / 10
Mean=1243 / 10
Mean= 124.3
Median:
Rearranged the data in order first
110,111,116,117,118,122,123,125,126,175
118 and 122 are at the middle
Median=1/2(n1 + n2)
Median=1/2(118+122)
Median=240/2
Median= 120
(b) 175 is the larger than the others value and larger than the mean, so it is the substantial difference between the mean and the highest value (175).
Answers:
- x = 21.25
- y = 22.5
- z = 23.75
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Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
- x = 20+d
- y = 20+2d
- z = 20+3d
Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
- x = 20+d = 20+1.25 = 21.25
- y = 20+2d = 20+2*1.25 = 22.5
- z = 20+3d = 20+3*1.25 = 23.75
We could convert these to fraction form, but I find decimal form is easier in this case.
