Answer:
Pi is 3.14 for short but, its 3.14159265359
Step-by-step explanation:
The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
The rhombus is shown in the diagram below
The length of one side of the rhombus is 5 units, hence all the other sides are also 5 units each.
Answer:
$69.50
Step-by-step explanation:
.60 + .60 + .60 + .60 + .60 = 3
72.50 - 3 = $69.50
Answer:
0.621
Step-by-step explanation:
Number of people that have run a red light in the last year = 290
Number of people that have not run a red light in the last year = 177
Total number of respondents = 290 + 177
= 467
Pr(if a person is chosen at random, they have run a red light in the last year) = 
= 
= 0.621
The probability that if a person is chosen at random, they have run a red light in the last year is 0.621.