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zysi [14]
3 years ago
5

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an op

en box may be made. if the cardboard is 16 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (round your answers to two decimal places.)
Mathematics
1 answer:
Tom [10]3 years ago
4 0
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 12 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your answers to two decimal places.)
in (smallest value)
in
in (largest value)

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In a psychology class, 32 students have a mean score of 93.2 on a test. Then 16 more students take the test and their mean score
liraira [26]

Answer:  83.3

Step-by-step explanation:

Formula :

\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}                   (1)

\Rightarrow\ \text{Sum of all observations}=\text{Mean x (Number of observations)}           (2)

Given : In a psychology class, 32 students have a mean score of 93.2 on a test.

By Using (2) , Sum of scores of 32 students = 93.2 x 32 =2982.4   (3)

Then 16 have a mean score of 63.4.

Again, By Using (2) , Sum of scores of 16 students = 63.4 x 16 =1014.4   (4)

Total students = 32+16 = 48

Add (3) and (4) , we get combined score of 48 students = 2982.4+ 1014.4

=3996.8

Now , by using (2) , the  mean score of all of these students together

=\dfrac{3996.8}{48}=83.2666666667\approx83.3

Hence, the mean score of all of these students together is 83.3.

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Can some one help me with 27?
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Step-by-step explanation:

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