A 5.0g of salt was weighed by Victoria as 5.1g. What is the percentage error?

two patterns start at 0. the rule for pattern A is add 2. the rule for pattern B is add 3. what is the value of pattern B when p

mariarad [96]

Answer:4.5

Step-by-step explanation:

A 0 1 2 3

B 0 1.5 3 4.5

7 0

3 years ago

Yoshi is a basketball player who likes to practice by attempting the same three-point shot until he makes the shot. His past per

Aneli [31]

Answer:

....................no answer

6 0

3 years ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

(2,170), (5,365) slope

Alexxandr [17]

Answer:

To find the slope given two points, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the given points and solve.

365-170/5-2

195/3

65

The slope of the two points is 65.

Hope this helps! :)

5 0

3 years ago

True or False If a logarithm is written without a base it is a natural logarithm.

NikAS [45]

The answer is: False.

If a logarithm is written without a base it IS NOT a natural logarithm.

The explanation is shown below:

1. If a logarithm is written without a base, you must assume the base is 10. It is written as below:

log(x)

2. It is important to know that the base a natural logarithm is the irrational number e. It is written as below:

ln(x)

5 0

4 years ago

A 5.0g of salt was weighed by Victoria as 5.1g. What is the percentage error?​

A 5.0g of salt was weighed by Victoria as 5.1g. What is the percentage error?