Answer:
the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
Step-by-step explanation:
Given the data in the question;
we know that;
the coefficient of determination is r²
while the correlation coefficient is defined as r = √(r²)
The coefficient of determination tells us the percentage of the variation in y by the corresponding variation in x.
Now, given that class attendance explained 16% of the variation in grade index among the students.
so
coefficient of determination is r² = 16%
The correlation coefficient between percent of classes attended and grade index will be;
r = √(r²)
r = √( 16% )
r = √( 0.16 )
r = 0.4
Therefore, the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
If 1 to 7 are the chances to win over friend then 6 out of 7 are the chances to lose.
Probably to lose = # of loosing chances/ # of possible outcomes = 6/7 ~ 0.86
Answer:
13.73
Step-by-step explanation:
With this, we have have a few things going on here. First notice the chain rule needed for 3x and then that d/dx sinx = cosx , d/dx cosx = -sin× , d/dx -sinx = - cos and finally
d/dx -cosx = sinx. In knowing these derivatives, you know that you need to take the derivative FOUR times to return it back to itself. Doing the 77th derivative makes you do taking the derivative in these 4 time "cycles" 19 times (bc 77/4 = 19.25) which leaves you with taking the derivative just ONCE more after the first 76 times. So the 77th derivative of sinx is cosx. That is not all though. Recognixe that you will also multiply it by 3 77times bc of chain rule, so the 77th derivative of sin (3x) is......: ( 3^77 × cos (3x) )
Answer:
$12,000
Step-by-step explanation:
Since the answer to problem 2 is $8,000 and it is 2/3 of 30 years, all you have to do is find half of $8,000, which is $4,000 and add them together which makes $12,000 and it pays off for 30 years.
