Hey! just so you know you put it upside down but the answer is 23.
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:
If David were summarizing the data from his sample, he would use Descriptive statistics. If he wanted to know whether or not his sample results could be generalized to the population, he would use Hypothesis testing statistics.
Step-by-step explanation:
Hello!
There are two types of statistics.
1. Descriptive statistics.
This method allows you to summarize the observed data of a sample, it gives you an idea of the data distribution shape, its variability, most common values, etc... You can summarize the data using numerical measures (for example: mean, median, mode, variance) or graphics (for example histogram, scatterplots, boxplots)
2. Hypothesis testing.
Using this method you can test the results of an experiment, using the previously summarized sample data, and reach a valid conclusion over your claims that can be generalized to the population of study afterward.
I hope it helps!
Answer:
<em>The PIN is 1147</em>
Step-by-step explanation:
<u>Prime numbers</u>
These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.
Thus, the first prime to consider is 31. Write the consecutive primes from 31:
31 , 37 , 41 , 43
We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147
Answer:
7.5 Miles.
Step-by-step explanation:
3 + 4.5 = 7.5 Miles.