Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time


Where k=Proportionality constant
2.
,y'(0)=100
Integrating on both sides then, we get

We have y(0)=200
Substitute the values then , we get


Substitute the value of C then we get





Differentiate w.r.t

Substitute the given condition then, we get



Substitute t=2
Then, we get 

e=2.718
Hence, the number of bacteria after 2 hours=543.6
The range is the possible y-values of the graph. If you have a specific equation, post it.
Answer:
Rational
Step-by-step explanation:
8.27 is rational
Answer:
To use a paired t-test
Step-by-step explanation:
t-tests are essentially tests carried out to compare two different groups to check if there is a major difference in their performances or results which may be related in certain characteristics.
A paired (correlated) t-test is used when there are matched pair of similar units or instances of repeated measurements.
In this case, Mary has to use a paired t-test because the samples (students) have high similarity in characteristics. The students in question has to be from the same class to test her hypothesis (similar characteristics).
9514 1404 393
Answer:
Amir: 2/3
Whitney: 1/4
Step-by-step explanation:
We can let w represent the fraction Whitney eats. Then the fraction Amir eats is (w+5/12). The total amount they eat is found by ...
w + (w +5/12) + 1/12 = 1
2w = 1/2 . . . . . subtract 6/12
w = 1/4 . . . . fraction Whitney eats
w+5/12 = 3/12 +5/12 = 8/12 = 2/3 . . . . fraction Amir eats