Answer: 49x
Step-by-step explanation:
first, i rewrite the equation, removed the parentheses, and multiplied it all out.
(-5-4)x x (-5) + 7x - 3x
then, i calculated it.
-9x x (-5) + 7x - 3x
then, i multiplied and calculated again.
45x + 7x - 3x = 49x
All of these only require a single operation before you get x alone. for example:
x - 2 = 6
compared with
2x = 6
for the first one, you add two and get x = 8. for the second one, you divide by 2 and get x = 3. they're both a single step, as the name "one-step" equations tells you, and you only have to divide, multiply, add, or subtract one value.
<span>5 = 15
---------
8 = x
cross multiply
5x =120
5x÷5 = 120÷5
x = 24
Check
5/8 = 15/24
.625 = .625
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Answer:
The linear regression equation that represents the set of data is:

The predicted number of new cases for 2013 is 1368.
Step-by-step explanation:
The general form of a linear regression is:

Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>a</em> = intercept
<em>b</em> = slope
Compute the values of <em>a</em> and <em>b</em> as follows:

The linear regression equation that represents the set of data is:

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:


Thus, the predicted number of new cases for 2013 is 1368.
41% of students ran in 12 minutes or less.
Using the histogram we see that there were 2+12+11+9=34 students that ran. Out of those, 2+12=14 ran in 12 minutes or less (the first two bars).
14/34 = 0.411 = 41%.