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Pachacha [2.7K]
3 years ago
5

write a function to model the volume of a rectangular prism if the length is 10cm and the sum of the width and height is 18cm.

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0
Let the length be l, width w and height h, then
Volume = length x width x height
l = 10cm, w + h = 18cm

V(h) = 10(18 - h)h = 180h - h^2
V(h) = 180h - h^2
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(a) For the sequence 11,13,15,17,............find the 13th term<br>​
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Step-by-step explanation:

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Find the probability that the mean annual preciptiation will be between 32 and 34 inches. variable is normally distributed
liq [111]
Supposing, for the sake of illustration, that the mean is 31.2 and the std. dev. is 1.9.

This probability can be calculated by finding z-scores and their corresponding areas under the std. normal curve.  
                                                                     34 in - 31.2 in
The area under this curve to the left of z = -------------------- = 1.47 (for 34 in)
                                                                           1.9
                                                                      32 in - 31.2 in
and that to the left of 32 in   is               z = ---------------------- = 0.421
                                                                             1.9

Know how to use a table of z-scores to find these two areas?  If not, let me know and I'll go over that with you.


My TI-83 calculator provided the following result:

normalcdf(32, 34, 31.2, 1.9) = 0.267  (answer to this sample problem)

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Step-by-step explanation:

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