we are given
we can use average rate of change formula from t=a to t=b
Here, we are given from t=1 to t=4
so, we will get formula as
now, we can plug values
now, we can simplify it
the average rate of change in the number of acres cleared for farming between t = 1 and t = 4 is 10 acres/ month.............Answer
Answer:
C. 270 grams
Step-by-step explanation:
-This is an exponential growth function which can be expressed using the formula:
Where:
is the size at time t.
is the initial size
is the growth rate 
is the time
Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:
We use this calculated rate to determine the population at t=6
Hence, the bacteria's size at t=6 is 270 grams
With cross multiplication you can find that they are the same. In both equations, x would be 100.
Answer:
0 tests
Yes, this procedure is better on the average than testing everyone, it makes it less cumbersome.
Step-by-step explanation:
Given the information:
Let P be the probability that a randomly selected individual has the disease = 0.1. N individuals are randomly selected, thereafter, blood samples of each person would be tested after combining all specimens. Should in case one person has the disease then it yields a positive result and test should be set for each person.
Let Y be number tests
For n = 3 there are two possibilities. If no one has the disease then the value is 1 otherwise the value is 4, here P = 0.1
Therefore, for Y = 1
P(Y-1) = P(no one has disease)
= 0.9³
= 0.729
If Y = 4
P(Y-4) = 1-P(y = 1)
= 1 - 0.729 = 0.271
The expected number of tests using this formular gives
E(Y) = 1×0.729 + 4×0.271
E(Y) = 0
