The experimental probability is the result of an experiment, and the theoretical probability is based on the mathematical model developed in the theory of probability. In simple words, the most important difference is that the experimental probability is based on what actually happens and the theoretical probability on what is expected to happen.

The accuracy of the results of the experiments depends directly on the sample size of the experiment and the accuracy is greater when the sample size is larger.

For this particular event the theoretical probability is the same for rolling each number of the die, 1/6 or 16.67%

Now, let's complete the answer this way:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

5 0

1 year ago

The center of the basketball court has a diameter of 12 feet. What is the area of the circle

jekas [21]

Answer:36π squared feet

Step-by-step explanation:

Diameter=12

Radius=diameter/2

Radius=12/2

Radius=6 feet

Area of circle=π x Radius x Radius

Area of circle=π x 6 x 6

Area of circle=36π

5 0

2 years ago

Please help click on the image below

Shtirlitz [24]

I believe that is c if I'm wrong I'm very sorry

6 0

2 years ago

Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor

Ilya [14]

Answer:

$M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.$

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

$M=0.4x$

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

$M=0.5x$

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

$M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.$

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=9%20%5Cdiv%202.43" id="TexFormula1" title="9 \div 2.43" alt="9 \div 2.43" align="absmiddle" cl

blsea [12.9K]

Is this a question? Nine divided by 2.43 is 3.703703703703703703

3 0

2 years ago

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