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3 years ago

All vertices must be used once in Hamilton circuits. true false

Mathematics

1 answer:

kolbaska11 [484]3 years ago

8 0

Answer:

false I believe

Step-by-step explanation:

hope its right

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Add 2/5, 3/10 and 1/2. Give your answer as a mixed number

Alborosie

Answer:

I hope this will help you

3 0

3 years ago

Find the limit of f(x,y ) → (0,0) or show that the limit does not exist. Consider converting the function to polar coordinates t

Vladimir79 [104]

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7 0

3 years ago

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:

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4 years ago

A man pays only $60 for an item which originally sells for $100. What percent of the original price does the man pay for the ite

Anni [7]

Answer: 40%. Alternatively, you can think about it this way. The item is 40% off. This means you'll pay 60.000% of the total cost (100% - 40% = 60.000%).

4 0

3 years ago

Read 2 more answers

What is the domain of the function y=-4x-1 when the range is -25

Alborosie

y = -4x - 1

It is a linear function different from the constant function. Therefore, if the range is only one number, then the domain is only one number too.

Let's calculate it:

y = -25 → -4x - 1 = -25 |add 1 to both sides

-4x = -24 |divide both sides by (-4)

x = 6

Answer: The domain = {6}.

5 0

3 years ago