Answer:
This histogram is unimodal skewed. There are two parts to this answer. The first part has to do with the number of modes. This would be the item that is occurring the most frequently. In this case the mode is only 4. It is occurring more than any other.
The second part of this has to do with the distribution of the data as it is displayed on the histogram. There are 4 pieces of data that are only occurimg one time on the right of the histogram. We call this skewing the data. When both sides looks almost the same we say it is symmetric.
Step-by-step explanation:
The inverse of the matrix ![\left[\begin{array}{cc}11&-5\\3&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D11%26-5%5C%5C3%26-1%5Cend%7Barray%7D%5Cright%5D)
is the matrix ![\left[\begin{array}{cc}\frac{-1}{4} &\frac{5}{4} \\\\\frac{-3}{4} &\frac{11}{4} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%7B-1%7D%7B4%7D%20%26%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%5C%5C%5Cfrac%7B-3%7D%7B4%7D%20%26%5Cfrac%7B11%7D%7B4%7D%20%5Cend%7Barray%7D%5Cright%5D)
.
The inverse of a matrix A is calculated by the formula:
A' = (1/|A|)(Adj A),
where A' represents the inverse of matrix A,
|A| represents the determinant value of matrix A, and
Adj A represents the Adjoin matrix of matrix A.
So, to calculate the inverse of the matrix , we will first calculate its Adj.
Adj = ![\left[\begin{array}{cc}-1&-3\\5&11\end{array}\right] ^{T}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-3%5C%5C5%2611%5Cend%7Barray%7D%5Cright%5D%20%5E%7BT%7D)
= ![\left[\begin{array}{cc}-1&5\\-3&11\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%265%5C%5C-3%2611%5Cend%7Barray%7D%5Cright%5D)
.
Now, we calculate |A| = 11*(-1) - (-5)*3 = -11 + 15 = 4.
Therefore A' = (1/|A|)(Adj A),
or, A' = ![(1/4)*\left[\begin{array}{cc}-1&5\\-3&11\end{array}\right]](https://tex.z-dn.net/?f=%281%2F4%29%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%265%5C%5C-3%2611%5Cend%7Barray%7D%5Cright%5D)
,
or, A' = .
Therefore, the inverse of the matrix is the matrix .
Learn more about the inverse of a matrix at
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Answer:
1. commutative property of multiplication
2. commutative property of addition
3. associative property of multiplication
4. associative property of multiplication (since division is multiplying by a fraction)
5. transitive property of equality
Step-by-step explanation:
Answer:
The possible combinations are (4 & 6) ,(8 &3), (2 &12), (24 &1)
Step-by-step explanation:
The area of a flower bed is 24 square feet.
Now, the factors of 24 are 2 x 2 x 2 x 3.
Hence, if the other sides were whole number dimensions, then the possible combinations will be (4 & 6) ,(8 &3), (2 &12), (24 &1)
Area = 42 sqaure inches
Length =7
Area = l x width
if the width is X then 7x=42 and x= 42/7 = 6
there X (width) is 6
perimeter thus is 7+7+6+6= 26
The answer is 26
