Answer:
Correlation does not mean <em>causation</em> even after having a relatively high correlation coefficient as a result.
Step-by-step explanation:
Correlation and causation are not the same. Correlation does not mean that variations in one variable <em>cause</em> variations in the second variable. Instead, correlation considers that variations in one variable <em>corresponds</em> with variations of the second variable. No more.
Correlation is an important first step to establish that one variable possibly can cause some effect on the other, but it is not a definitive answer to this question. It is crucial to find other possible factors that can explain what causes some effect.
As a conclusion, a positive and relative high correlation coefficient does not necessarily mean causation. It simply tells us that some study found that people that listen to loud music are also people with poor hearing problems, and possibly a cause to the latter variable is to listen loud music repeatedly, but it is a must to find other possible factors before definitely concluding that.
Answer:
x = 5/e
Step-by-step explanation:
ln x- ln 5= -1
We know that ln a - ln b = ln (a/b)
ln x- ln 5= -1
ln(x/5) = -1
Raise each side to the power of e
e^ ln(x/5) = e^-1
We know that e^-1 = 1/e
x/5 = 1/e
Multiply each side by 5
x/5 *5 = 1/e * 5
x = 5/e
3% is the decimal 0.03 .
To make a number 3% bigger, multiply it by 1.03 .
The ' 1 ' part is the amount that's already there, and
the ' .03 ' part is the amount to be added onto it.
Answer:
Step-by-step explanation:
In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.
Alternately, the nth term is first term times k^(n-1).
Here, that's 3×5^(10-1), 3×5^9=5859375
