Answer:
Irrational
Step-by-step explanation:
Since √3 is a non-terminating decimal (it repeats forever), it will be an irrational number.
Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Answer:
2.88
Step-by-step explanation:
Data provided in the question
= Population standard deviation = 7 miles per hour
Random sample = n = 32 vehicles
Sample mean = 
= 64 miles per hour
98% confidence level
Now based on the above information, the alpha is
= 1 - confidence level
= 1 - 0.98
= 0.02
For 
= 0.01
= 2.326
Now the margin of error is
= 2.88
hence, the margin of error is 2.88
Well, A linear relationship has to be a straight line and a proportional relationship has to go through the origin! Hope that's a good hint!
Because if it is linear it is a straight line so the slope must always be equal to eachother
