My best guess as to what the integral is supposed to be is

which is the integral over the sphere of radius 3 centered at (0, 0, 0). In spherical coordinates, the integral is equivalent to




Adjacent angles are the angles that share a common vertex but no common interior points.
Answer:
0.35
Step-by-step explanation:
Given the data:
Selling Time___ Frequency
0 10____________3
10 20__________ 4
20 30__________ 6
30 40__________ 4
40 50__________ 3
Proportion of selling time in sample above that are less Than 20 days :
Taking the sum of the frequency :
Hence, total frequency = (3 + 4 + 6 + 4 + 3) = 20
Selling time which is less Than 20 days :
(0 - 10) = 3
(10 - 20) = 4
Total = (3 + 4) = 7
Proportion = selling time less Than 20 days / total frequency
= 7 / 20
= 0.35
The answer to the top one is 243.
Answer: the perimeter of the shape is 19.1
Step-by-step explanation:
To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side
For line AD,
AD² = 2² + 4² = 4 + 16 = 20
AD = √20 = 4.47
For line AB,
AB² = 1² + 5² = 1 + 25 = 26
AB = √26 = 5.1
For line BC,
BC² = 2² + 4² = 4 + 16 = 20
BC = √20 = 4.47
For line CD,
CD² = 1² + 5² = 1 + 25 = 26
CD = √26 = 5.1
The perimeter of a plane figure is the distance around the figure. Therefore
Perimeter = AB + AB + BC + CD
Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =
19.1