Answer:
<h3>1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.</h3><h3>2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0</h3><h3>3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables. </h3>
Step-by-step explanation:
The choices are
1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.
2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0
3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables.
4) A correlation coefficient of r=0 indicates a strong linear relationship between two variables.
The correlation coefficient is a number from -1 to 1, which indicates how strong can be the correlation between variables. It could be a strong positive correlation or a strong negative correlation. If the correlation coefficient is close to -1, then it's a strong negative correlation. If the correlation coefficient is close to 1, then it's a strong positive correlation.
Therefore, the first choice is correct.
The second choice is also correct, because the correlation coefficient is restricted to the interval [-1, 1].
The third choice is also crrect, because 1 represents a strong correlation between variables, but to have full answer, it should say "a strong positive corrrelation".
Average or round?
average: 22.35
rounded: 26 and 19
Hope this is what you wanted!
Answer:
Step-by-step explanation:
win
There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.
There are 4 suits so the number of face cards is 3*4 = 12
There is 1 ace / suit
There are 4 suits so the number of aces is 1 * 4 = 4
The gain from the face cards = 12 * 13 = 156
The gain from the aces = 4 * 3 = 12
Total gain = 168
Losses
Any other card costs you $5
How many cards is that? 52 - 16 = 36
Each one costs 5 dollars
Total loss = 5 * 36 = 180
So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.
Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
∠G would be congruent to ∠J
∠B would be congruent to ∠K
∠P would be congruent to ∠Y
Hope this helps :)
