In soccer, a penalty kick is a kick between one player and the goalie. The goalie stands in the center of the net and jumps one way or the other to try to stop the ball. A researcher wonders, in penalty kicks, if the goalie jumps in the same direction as the ball goes, or if a goalie essentially guesses which way to jump. The researcher randomly selects 138 penalty shots in World Cup Finals games between 1982 and 1994 and records if the goalie jumped in the correct direction (same way as the ball) or not. The study found that the goalkeeper correctly moved in the direction of the kick 0.41 of the time.

What is the variable(s) of interest in this study?A. World Cup FinalsB. Penalty kicksC. If a goalie jumps in the correct direction or notD. Soccer games

The answer is option C.

Step-by-step explanation:

A penalty kick and how it is taken is described in the question. The researcher is interested in knowing whether to goalkeeper is just guessing the direction of the ball or observes the player's movement and acts accordingly. So in this case, we can see that the variable of interest is whether the direction that the goalkeeper jumps is correct or not. So the answer is option C.

I hope this answer helps.

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15