What polygon is obtained by graphing the given system of inequalities? what is the area of the polygon bounded by the inequalities?

y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6

the polygon obtained by graphing the system of inequalities is a .

the area of the polygon bounded by the inequalities is square units.

A= 15 sq units

Step-by-step explanation:

In order to find the polygon bounded by these inequalities we need to graph them first and find the shaded region among them.

In order to draw the inequalities we will graph

x=1, y=1, x=4, y=6

Then we shade the region satisfied by the inequalities as shown in the graph.

Here we find the intersection points of all these lines. The points are

(1,1) , (1,4) , (6,1) , (6,4)

Here we can also see that shaded region is a rectangle whose length is 5 units and width is 3 units.

Hence its area will be

A = l * b

A = 3*5

A= 15 sq units

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

25

step-by-step explanation: