As online attacks persist, spending on information security software continues to rise. The following table gives the forecast for the worldwide sales (in billions of dollars) of information security software through 2007 (x = 0 corresponds to 2002).

y = 10^9 (6.87 + 2.1(year-2002) )

Step-by-step explanation:

y = a + b x

x mean = 15/6 = 2.5

y mean = 72.7/6 = 12.12

x-x mean

-2.5 -1.5 -.5 +.5 +1.5 + 2.5

y - y mean

-6.12 -3.22 -.22 +1.88 +3.58 +4.08

(x - x mean)(y - y mean)

15.3 4.83 .11 .94 5.37 10.2

sum of those = 36.75

(x - x mean)^2

6.25 2.25 .25 .25 2.25 6.25

sum of those = 17.5

so

b = 36.75/17.5 = 2.1 agree with you

a = y mean - b x mean

= 12.12 - 2.1* 2.5 = 6.87 agree with you

y = 6.87 + 2.1 t

perhaps you used x in last line instead of t?

or

perhaps they want real years and billions

y = 10^9 (6.87 + 2.1(year-2002) )

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p