A group of friends are playing a game in which they roll a 4-sided pyramid and pull a marble from a bag of 4 marbles. The faces of the pyramid are the same size and numbered 1 to 4. Each marble is a different color. The colors are green, blue, orange, and purple. The friend that rolls the number 3 on the pyramid and pulls a blue marble wins a point. The results from the first 12 turns are listed: 4 and blue 1 and blue 3 and orange 2 and green 3 and blue 2 and purple 2 and purple 1 and purple 4 and blue 1 and green 4 and orange 3 and green Compare the theoretical and experimental probability of rolling a 3 on the pyramid and pulling a blue marble by dragging and dropping the descriptions into the box it matches.

Step-by-step explanation:

If the friends roll a 4-sided pyramid and pull a marble from a bag of 4 marbles.

THEORETICAL PROBABILITY

P(Picking a blue Marble)

P(Rolling a 3)

P(Picking a blue Marble and Rolling a 3)

EXPERIMENTAL PROBABILITY

The outcomes from the first 12 turns are:

n(3 and blue)=1

P(Picking a blue Marble and Rolling a 3)

which of the following can speed up the rate at which the liver breaks  

down alcohol?

question 1 options:

carbohydrates  

coffee  

nothing  

high-protein meals  

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b