If the system is fair, one would expect that the same proportion of students received their requested math class, independent of whether they are on the honor roll or not. We have that from the 356 students on the honor roll, 315 received their requested class. This percentage is around 88.5%, hence 88,5% of honor students get the class they requested. Of the 144 students not on the honor roll, 64 get their requested class. The ratio is 64/144=44.4%. We see that the percentage is a lot smaller, almost half of the percentage for the honor students. Hence, we have that there is actually injustice since if you are an honor student you have almost double the chance to get your preferred class.
= 64^(t^3)*64^(-t/2)
= 64^(t^3)*(64^(-1/2))^t . . . . change the sum of exponents to a product
= 64^(t^3)*(1/√64)^t . . . . . . negative exponent signifies inverse, 1/2 power is sqrt
= 64^(t^3)/8^t . . . . . . . . . . . simplify
= (4^3)^(t^3)/8^t . . . . . . . . . .replace 64 with 4^3
= 4^(3t^3)/8^t . . . . matches the first selection only
Answer:
4/1
Step-by-step explanation:
To get from one dot to the next, you go up by four and to the right by one, making the slope 4/1
Answer:
A and D
Step-by-step explanation:
Answer:
They are right, the time calculated using the exponential decay equation is 1948.6 years.
Step-by-step explanation:
The time can be calculated using the exponential decay equation:
(1)
<u>Where</u>:
N(t): is the quantity of C-14 at time t
N₀: is the initial quantity of C-14
λ: is the decay constant
The decay constant is:
(2)
By entering equation (2) into (1) and solving for t, we have:
Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.
I hope it helps you!
