<span>C. 80 simulations would be the most likely to reproduce results predicted by probability theory. Due to the law of large numbers, as the number of trials increase, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.</span>
Answer:

Step-by-step explanation:
<h3>Equation of the blue line:</h3>
since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

<h3>Equation of the red line:</h3>
remember The form of equation of a line

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3
to figure out m we can consider the following formula:

from the graph we acquire ∆y=1 and ∆x=2
thus substitute:

so we have figured out m and b
therefore our equation of blue line is

our given options are in standard form so
move -3 to left hand side and change its sign:

cross multiplication:

move 6 to right hand side and x to left hand side and change its sign

multiply both sides by -1:

hence, our system of linear equation is

Answer:
32 m
Step-by-step explanation:
Height of mast = 96tan30
Distance of second point = 96tan30 / tan60
Distance = 32 m
Answer:
58.74 cubic meters
Step-by-step explanation:
The function is actually 
Here x is the number of days and the corresponding value of "f(x)" would be the water REMAINING after x days.
Since, we want to figure out how much water (from 60 m^3) is remaining after 7 days, we simply have to plug in x = 7 into the function. Whatever number we get, is the AMOUNT OF WATER REMAINING AFTER 7 DAYS.
So,

Thus, the amount of water remaining in the pool after 7 days is 58.74 cubic meters
P(heads, and even and blue) = 1/2 *3/6 *1/4=1/2*1/2*1/4=1/16
P(heads, and 5, and green) = 1/2*1/6*1/4=1/48
P((heads or tail), and odd, and red)= (1/2+1/2)*3/6*1/4=1*1/2*1/4 = 1/8
P((heads or tail), and 3, and yellow)= (1/2+1/2)*1/6*1/4=1*1/6*1/4=1/24
P(tails, and prime, and not green) = 1/2 *3/6*3/4= 1/2*1/2*3/4=3/16
(Prime numbers here are 2,3 and 5)