12.8-12.4=0.4
0.4 divide by 12.4 = 0.0322
0.0322 x 100 = 3.22%
<span> the probability that the roll of a die will be either even or odd is 1</span>
Answer:
True
Step-by-step explanation:
Here, we want to check if the given equation does not intersect the x-axis
if it does not, then it has no real root
If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis
The formula for the discriminant is;
D = b^2-4ac
In the question;
a = -1 , b = 6 , c = 10
so;
D = 6^2-4(-1)(10)
D = 36-40
D = -4
Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis
Answer:
a) 
b) 
Step-by-step explanation:
Polar coordinates are represented as:
, where 'r' is the length (or magnitude) of the line, and '
' is the angle measured from the positive x-axis.
in our case:

to covert the polar to cartesian:


we can plug in our values:


the Cartesian coordinates are:


(b) to convert (x,y) = (6.06,-3.5)
we'll use the pythagoras theorem to find 'r'



the angle can be found by:




to convert radians to degrees:

writing in polar coordinates:

A grocery store sells a 6-pack of bottled water for $3.79, a 9-pack for$4.50, and a 12-pack for $6.89. which package costs the least per bottle?