Ford is the coach of a local baseball team that is currently losing by two runs. they are getting ready to take the field to start the bottom of the eighth inning. in the past, when losing by two runs, he has replaced the starting pitcher with a relief pitcher a total of 25 times in the eighth inning of the game. when in the same position, he has left the starting pitcher in the game 15 times. in the situations when he has replaced the pitcher, they have lost 14 times and won 11 times. in the situations when he has left the starting pitcher in the game, they have lost 8 times and won 7 times. based on these numbers, if the goal is to win the game, should he replace the pitcher or not? a. ford should leave the starting pitcher in the game. b. there is not enough information to determine if he should replace the pitcher or not. c. ford should replace the pitcher. d. neither option has any advantage.

He has replaced the pitcher 25 times and won 11 times.

Winning percentage = 11/25 = 44%

He kept the starting pitcher in 15 times and won 7 times.

Winning percentage = 7 /15 = 47%

There is a 3% higher chance they would win by replacing the pitcher.

The answer should be C.

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.