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Irina-Kira [14]
3 years ago
7

a bookstore owner asks every fifth customer on a single day if he or she owns a e-book reader . select yes or no for each questi

on . is this a random sample of the store customers ? yes or no is this a random sample of the general population ? yes or no explain your answers.
Mathematics
1 answer:
Masteriza [31]3 years ago
6 0
Yes, it is random because it isn't convenient for him.
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Function form 8x + 4y =20
balandron [24]
8x + 4y = 20

4y = 20 - 8x

y = 5 - 2x
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What is the range of the relation?​
tia_tia [17]
The correct answer is (-2,1,2,8)

The range are the y- values

The explanation:

The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Hope this helped you :D
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Can a trapezoid have four obtuse angles
Pavel [41]
The four angles inside EVERY four-sided figure add up to 360 degrees, no matter what the shape of the figure is.

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timurjin [86]

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3 years ago
Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt
polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt

=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k

The first integral is trivial since (\tan t)'=\sec^2t.

The second can be done by substituting u=t^2-1:

u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C

The third can be found by integrating by parts:

u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t

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\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C

8 0
4 years ago
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