The answer is 12.5 meters per seconds
Answer:
The general solution to this differential equation is
Step-by-step explanation:
We are given the following differential equation:
Solving by separation of variables:
Integrating both sides:
On the left side, by substitution, u = kP - h, du = kDp, Dp = du/k. Then
In which K is the constant of integration.
The general solution to this differential equation is
Given:
From 1:00 pm to 3:30 pm the room temperature had dropped from 82F to 72F.
To find:
The average rate of change of temperature in this room over the period.
Solution:
Time between 1:00 pm to 3:30 pm is 2 hr 30 minutes, i.e., 2.5 hours.
So, change in time is 2.5 hours.
Room temperature had dropped from 82F to 72F.
Change in temperature = 72 F - 82 F
= -10 F
We know that, average rate of change of temperature in this room over the period is
Therefore, the average rate of change of temperature in this room over the period is -4. It means the temperature is decreasing 4 F per hour.
Answer:
0.8554 is the probability that the proportion of students living in dormitories is between 0.70 and 0.85
Step-by-step explanation:
We are given the following in the question:
Proportion of students who live in dormitories = 80%
Sample size, n = 80
Thus, the number of students follow a binomial distribution,
We use normal approximation to the binomial distribution to find the probability.
Parameters of Normal distribution:
We have to find the probability that the sample proportion (the proportion living in the dormitories) is between 0.70 and 0.85.
Thus, 0.8554 is the probability that the proportion of students living in dormitories is between 0.70 and 0.85
It is a square has 4 equal sides and a pentagon has 5 so the answer is
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