Linear functions can be written in the form y=mx+b, where:
y is a y coordinate on the line
m is the slope of the line
x is the x coordinate on the line that corresponds with the y coordinate in the equation
b is the y-intercept of the line
So for the equation y=-10x+1:
m=-10 and b=1 so the slope of the line is -10, and the y-intercept is 1. Your answer is B.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
Solution: The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.
In normal distribution (bell shaped distribution) , the mean and standard deviation are used to describe its distribution. The mean measures the center of the distribution, while the standard deviation takes care of the spread of the distribution.
The mean of the normal distribution is and the standard deviation is
This is a difference of 2 perfect square so if we have
a^2+b^2=(a-b)(a+b)
16=4^2
y^2-4^2=(y-4)(y+4)
Well, the sum has to be less than 83. Do you think maybe it could be 82 ? ?
Sadly, it couldn't be 82. If two integers are consecutive, then one is even and
one is odd, and their sum is always odd. So the greatest sum less than 83
is going to be 81 .
Since the integers are consecutive, both of them have to be right around
half of 81 . Half of 81 is (40 and 1/2), so let's try 40 and 41 :
<em>40 + 41 = 81 </em> That's it ! yay!