Answer:
14110
Step-by-step explanation:
Let x = number of pages ;
μ = 12200 ; σ = 820
Zscore = (x - μ) / s
Zscore = (x - 12200) / 820
Zcritical at 99% confidence, for a 1 - tail test is 2.33
Hence, Z at 99% = 2.33
Put Zscore = 2.33
Zscore = (x - 12200) / 820
2.33 = (x - 12200) / 820
2.33 * 820 = x - 12200
1910.6 = x - 12200
1910.6 + 12200 = x
x = 14110.6
x = 14111
The number of pages the manufacturer should advertise is 14,110
Answer:
Mike has $100. Every week, he spends $8 on a new book. How many weeks would it take for him to have $28 left?
Step-by-step explanation:
Brandon's rectangle:
Length = 8.75 x 1.5 = 13.125 inches
Width = 6 x 1.5 = 9 inches
If you need the area and perimeter then here:
Area = 13.125 x 9 = 118.123 inches square or sq in.
Perimeter = 2 x (13.125+9) = 44.25 in
We found a counterexample, so the statement is false.
<h3>
Is the statement true?</h3>
Let's use the matrix:
![\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-2%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C%200%260%260%261%20%5Cend%7Barray%7D%5Cright%5D)
This is a 4x4 matrix with determinant equal to -2.
The inverse matrix is:
![\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%2F2%260%260%260%5C%5C0%26-1%260%260%5C%5C0%260%26-1%260%5C%5C%200%260%260%26-1%20%5Cend%7Barray%7D%5Cright%5D)
If we multiply it by 2, we get:
![\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%26-2%260%260%5C%5C0%260%26-2%260%5C%5C%200%260%260%26-2%20%5Cend%7Barray%7D%5Cright%5D)
The adjoint of that is the original matrix, actually:
Which we already know, has a determinant of -2.
So the statement is false, as we found a counterexample.
If you want to learn more about matrices:
brainly.com/question/11989522
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