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3 years ago

13x = 17 divided by 13

Mathematics

2 answers:

Dmitrij [34]3 years ago

8 0

Answer: $17/13=1.30769231$

Step-by-step explanation:

BARSIC [14]3 years ago

7 0

Answer:

x=17/13

Step-by-step explanation:

pretty sure you just shift x alone by itself

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4 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

kondor19780726 [428]

Answer:

The equation of the regression line is:

$y~=~234.56158 ~-~ 2.95835 \cdot x$

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

$\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}$

To find the line of best fit for the points:

Step 1: Find $X\cdot X$ and $X\cdot Y$ as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897$

Step 3: Use the following equations to find a and b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 694 \cdot 26897 - 479 \cdot 32784}{ 9 \cdot 26897 - 479^2} \approx 234.56158 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 9 \cdot 32784 - 479 \cdot 694 }{ 9 \cdot 26897 - \left( 479 \right)^2} \approx -2.95835\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~a ~+~ b \cdot x \\y~=~234.56158 ~-~ 2.95835\cdot x\end{aligned}$

The graph of the regression line is:

5 0

4 years ago

What is the y-intercept of the quadratic function f(x)=x^2-5x+6?

tatiyna

Answer:

Step-by-step explanation:

f(x)=x^2-5x+6

To find the y intercept, set x=0

f(0) = 0^2 -5(0) +6

f(0) = 6

The y intercept =6

6 0

3 years ago

there are 4 triangles, 12 sqaures and 6 circles. What is the ratio of squares to circles? Simplify.

Yuri [45]

Answer:

12 to 6

12:6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 54 ft2. find the dimensions of the

andrew-mc [135]

A = L * W
A = 54
L = 2W + 3

54 = W(2W + 3)
54 = 2W^2 + 3W
2W^2 + 3W - 54 = 0
(2W - 9)(W + 6) = 0

2W - 9 = 0
2W = 9
W = 9/2
W = 4.5 <== width

W + 6 = 0
W = -6....it wont be this one because it is negative

L = 2W + 3
L = 2(4.5) + 3
L = 9 + 3
L = 12 <==length

4 0

4 years ago