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3 years ago

Use the scale factor to find the length of the image.

1 answer:

4 0

You have that the scale factor is 8 and the length of the figure is 10 yards. Therefore, to solve this exercise, and calculate the length of the image, you must follow the proccedure below:

1. If the scale factor is 8, this means that lenght of the image is 8 times bigger.

2. Keeping this on mind, you only have to multiply 8 by 10 yards, as below:

Length of the image=8x10 yards
Length of the image=80 yards

3. Therefore, the answer is the option C:

C. 80 yd

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4 years ago

How do you calculate gross pay net pay and employee benefits

Sonja [21]

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3 years ago

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In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per cr

vodka [1.7K]

Answer:

63%

Step-by-step explanation:

From the question, we aim to find the percent increase in the tuition

Given data

initial cost= $99 per credit hour

Final cost= $268 per credit hour

% increase= (Final - initial )/initial *100

substitute

% increase= (268- 99 )/268 *100

% increase= 169 /268 *100

% increase= 0.630*100

% increase= 63%

Hence the increase in the tuition from 1990 to 2003 is 63%

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3 years ago

What is the value of the correlation coefficient r of the data set?

enyata [817]

The correct option will be: C) 0.84

Explanation

Formula for Correlation coefficient :

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

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

(Please refer to the attached image for the table )

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84$

So, the value of the correlation coefficient is 0.84

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3 years ago

Read 2 more answers