Answer: D) 32
Step-by-step explanation:
The area of a parallelogram equals its base times its height. Substitute the base and area into this formula to solve for the height:
A=bh
40=(5)(h)
h=8
If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to 
where h is the height, 
is one base, and 
is the other base. Plug the necessary values into the formula:
A=
h=8
A=
A=32
The answer is D) 32.
Answer:
...........................................................
Step-by-step explanation:
Divide both sides by the numeric factor on the left side then solve x=9
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".
Step-by-step explanation:
distribute the -2 to (x+1) you end up with -2x-2=8 (multiplication property). Add 2 to both sides to get rid of the -2 of the left (addition property). 8+2=10. -2x=10 divide the -2 to both sides. x=-5 (division property).
