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3 years ago

Can u help me on #5 please show your work

Mathematics

1 answer:

Digiron [165]3 years ago

3 0

Answer:

the length times with times height

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Complete the table: a. 1 c. 2 b. -1 d. 0

Vlada [557]

Answer:

cos0 = 1

cos90 =0

so a for the first one and d for the other

5 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:

5 0

4 years ago

A crate has 486 eggs. How many eggs are there in 486 crates?

vazorg [7]

Answer:

236, 196 Eggs

Step-by-step explanation:

If one crate has 486 eggs and there are 486 crates, you would multiply the number of crates by the number of eggs in a single crate: 486 • 486 = 236, 196 eggs.

7 0

3 years ago

Which statement regarding the interior and exterior angles of a triangle is true?

bija089 [108]

we know that

the sum of an exterior angle and the adjacent interior angle.of a triangle is equal to 180 degrees, because are supplementary angles

therefore

the answer is the option

An exterior angle is supplementary to the adjacent interior angle.

5 0

3 years ago

Read 2 more answers