Answer:
0
Step-by-step explanation:Velocity at t= 0s is 20m/s and the velocity at t= 10s is 20m/s.
a= 20-20/ 10s
a=0m/s
The decay rate should have units, it should be negative and it should be 100 times smaller than what you posted.
k = -.000124 / years
k = -.000124 / years
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.000124
Half-Life =
<span>
<span>
<span>
5589.8951612903
</span>
</span>
</span>
Half-Life =
5,590 (rounded)
elapsed time = half-life * log(bgng amt / end amt) / log(2)
elapsed time = 5,590 * log(10) /
<span>
<span>
<span>
0.3010299957
</span>
</span>
</span>
elapsed time = 5,590 * 1 / <span>
<span>
0.3010299957
</span>
</span>elapsed time =
<span>
<span>
<span>
18,569 years
</span></span></span>Source:
http://www.1728.org/halflife.htm
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
