Tara has two bags of marbles the first bag contains 8 red marbles four blue marbles three green marbles the second bag contains 4 red marbles three blue marbles four green marbles Tara will randomly select 1 marble from the first bag and Replace it. Tara will randomly select 1 marble from the second bag and not replace it. What? Is the probability that Tara will select a blue Marble from each bag?

2/27

Explanation:

The two events, drawing a blue marble out of each bag, are independent. This means to find the probability of both occurring, we multiply them.

In the first bag, there are 5 blue marbles out of 15 total. This makes the probability 5/15, or 1/3.

In the second bag, there are 2 blue marbles out of 9 total. This makes the probability 2/9.

Together, the probability of both events happening are:

1/3(2/9) = 2/27

What we know:
Football field is 100 yards in length
End zones are 10 yards each in length
Perimeter between pylons is 306 2/3 yards

What we need to find:
a. Perimeter and area of one end zone
b. Perimeter and area of without end zones
c. Perimeter and area of playing field with end zones

First we need to find the measurements of the field between pylons using the perimeter of 306 2/3 yards. We already know the length is 100 yards so we need to find width (w).

P=2l + 2w
306 2/3=2 (100) + 2w
306 2/3= 200 + 2w
300 2/3-200=200-200+2w
106 2/3=2w
106 2/3/2=2/2w
53 1/3=w

a. Perimeter=2 (10)+2 (53 1/3)=126 2/3 yards
Area=10×53 1/3=533 1/3 yd²
b. Perimeter=2 (100)+2 (53 1/3)=306 2/3 yards
Area=100×53 1/3=5333 1/3 yd²
c. Perimeter=2 (120) + 2 (53 1/3)=346 2/3 yards
Area=120×53 1/3=6400 yd²