Answer:
44/80
Step-by-step explanation:
draw a line from 13cm upwards to the graph line and then draw a horizontal line from that point to the y axis to find that you get 18 bananas
then draw a line from 20cm upwardsto the graph line and then draw a horizontal line from that point to the y axis to find that you get 62 bananas
62-18=44 you do this because the shop buys banana lengths between 13 and 20
only from 13 to 20 = 44
so out of 80 (the total) it should be 44/80
Answer:
3
Step-by-step explanation:
Define the range of a list of numbers.
<em>I'm not %100 percent certain because I learned that a long time ago.</em>
The product of the matrices is an identity matrix. Therefore, X and A are inverse of each other.
The matrices are given as:
![X = \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]](https://tex.z-dn.net/?f=X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-3%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D)
![A = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%26%5Cfrac%203%7B10%7D%5C%5C-%5Cfrac%2025%20%26-%5Cfrac%201%7B10%7D%5Cend%7Barray%7D%5Cright%5D)
To check the matrices are inverse, we calculate their products.
![A \times X = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right] \times \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%26%5Cfrac%203%7B10%7D%5C%5C-%5Cfrac%2025%20%26-%5Cfrac%201%7B10%7D%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-3%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D)
Multiply the rows of A by the column of X.
This gives
![A \times X = \left[\begin{array}{cc}\frac 15 \times -1 + \frac{3}{10} \times 4&\frac 15 \times -3 + \frac{3}{10} \times 2\\ -\frac 25 \times -1 - \frac{1}{10} \times 4&-\frac 25 \times -3 + -\frac{1}{10} \times 2\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%20%5Ctimes%20-1%20%2B%20%5Cfrac%7B3%7D%7B10%7D%20%5Ctimes%204%26%5Cfrac%2015%20%5Ctimes%20-3%20%2B%20%5Cfrac%7B3%7D%7B10%7D%20%5Ctimes%202%5C%5C%20-%5Cfrac%2025%20%5Ctimes%20-1%20-%20%5Cfrac%7B1%7D%7B10%7D%20%5Ctimes%204%26-%5Cfrac%2025%20%5Ctimes%20-3%20%2B%20-%5Cfrac%7B1%7D%7B10%7D%20%5Ctimes%202%5Cend%7Barray%7D%5Cright%5D)
![A \times X = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
The product of A and X is an identity matrix.
This means that; both matrix are inverse of each other
Read more about matrix at:
brainly.com/question/4017205
The linear equation that best fits the data is: y = 10x + 15.
<h3>How to Write the Linear Equation of a Data?</h3>
First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.
Using two points on the graph, (1, 25) and (2, 35), find the slope (m):
Slope (m) = (35 - 25)/(2 - 1)
Slope (m) = 10/1
Slope (m) = 10
Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b
25 = 10(1) + b
25 - 10 = b
b = 15
Substitute m = 10 and b = 15 into y = mx + b
y = 10x + 15
Learn more about the linear equation on:
brainly.com/question/15602982
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