Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after
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The correlation coefficient has to do with how well the points line up. If they are all on a line with positive slope, the correlation coefficient is 1. If that line has negative slope, the correlation coefficient is -1.
When the points are not on a line, the magnitude of the correlation coefficient is related to how "scattered" the points are. Completely random points that lie on no discernible line have a correlation coefficient of 0.
The given points lie near a line with positive slope, so the correlation coefficient is near 1. The most appropriate choice here is r = 1.
_____
The computed value of the correlation coefficient for this data is 0.968.
Answer: 0.0475
Step-by-step explanation:
Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.
Given:
The probability that a given 1-ml will contain more than 100 bacteria will be:
∴The probability that a given 1-ml will contain more than 100 bacteria
0.0475.
Answer:
Speed = 20 mi/h
Explanation:
There are two points A and B
Distance between both the points are define with function -20t + 45 miles
where t represent the number of hours of travelling.
Now firstly we find the initial position. At starting time is 0, so we put t=0 in given function of t.
At t=0;
d₀ = -20(0) + 45 = 0 + 45 = 45 miles
Now we find the distance travell after starting first hour.
Than we put t = 1 in the given function
At t = 1;
d₁ = -20(1) + 45 = -20 + 45 = 25 miles
Difference between d₁ & d₀ is
45 - 25 = 20 miles
We see that in one hour, total distace is covered 20 miles
Now we use time, speed, distance relation
Speed =
S =
S = 20 miles/hour
That's the final answer.
I hope it will help you.