find the probability. write the fraction in lowest terms. a bag contains five red marbles and five blue marbles. another bag contains five green marbles and four yellow marbles. you randomly pick one marble from each bag. one marble is blue and one marble is yellow.

2/9 chance

Step-by-step explanation:

Bag one: 5 red and 5 blue = 10 total

Bag two: 5 green and 4 yellow = 9 total

Bag one: P(blue)

5/10 or 1/2 chance of picking blue

Bag two: P(yellow)

4/9 chance of picking yellow

Math:

1/2*4/9 = 4/18 or 2/9

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

sadsadsadsad

step-by-step explanation: