Answer:
Choice D
Step-by-step explanation:
The Cavalieri's principle states that if two or more solids have identical cross-sectional area as well as height, then the solids will have equal volume.
Therefore, the volumes of the cylinders are the same
Answer and explanation:
A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa
An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)
Sin 2 x + sin x = 0
( sin 2 x = 2 sin x cos x )
2 sin x cos x + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0
x 1 = 0
x 2 = π
or: 2 cos x + 1 = 0
2 cos x = - 1
cos x = -1/2
x 3 = 2π/3
x 4 = 4π/3
Answer:
Step-by-step explanation:
A. Hours driving on monday= 
=23/4 hours (5 x 4 +3)
Hours driving on tuesday= 
=19/4 hours (4 x 4 +3)
Total hours = 23/4 + 19/4 = 42/4 = 
hours
B. Total hours driving = Hours driving on (Monday + tuesday + wednesday + thursday)
Hours driving on wednesday= 
=9/4 hours (2 x 4 +1)
Hours driving on thursday= 
=27/4 hours (6 x 4 +3)
Total hours driving = 23/4 + 19/4 + 9/4 +27/4 = 78/4 = 
hours
Based on the dimensions of the parking area, we know that the cost of resurfacing will be <u>$3,135.</u>
First find the area of the parking area:
<em>Area of trapezoid = (Base ₁ + Base₂) / 2 x Height </em>
= (90 + 100) / 2 x 30
= 2,850 feet²
The cost of resurfacing is:
<em>= Area x cost per square foot </em>
= 2,850 x 1.10
= $3,135
It will cost $3,135 to resurface the place.
<em>Find out more at brainly.com/question/12451654. </em>
