Answer:
The Alans's average for the course is 84.5
Step-by-step explanation:
We are given
There are 4 tests, A Term paper and a Final examination.
Score = 92, 78, 82, 90.
Term paper score = 80
Final examination score = 86
Weighted mean = ∑ w.f/∑w
also the sum of all the weights is 100% = 1
weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1
= 51.3 + 33.2
= 84.5
Therefore the Alans's average for the course is 84.5
A polygon is inscribed in a circle if all its vertices are points on the circle and all sides are included within the circle. All regular polygons can be inscribed in a circle. The center of an inscribed polygon is also the center of the circumscribed circle.
Answer:
1. 128 pages.
2. (y - x) + 1
3. 6 pages.
4. Helps to formulate the expression for the number of pages read.
Step-by-step explanation:
1. George will read pages 385 through 512 in his karate history book. And we are asked to find the number of pages that he will read.
The required number of pages that George read will be = (512 - 385) + 1 = 128 pages.
2. If he read from page number x through page number y then the general rule of finding the number pages that he read will be = (y - x) + 1
3. If x = 500 and y = 505, then the number of pages read is = (505 - 500) + 1 = 6 pages.
Again, if x = 5 and y = 29, then again the number of pages read is = (29 - 5) + 1 = 25 pages.
4. The rule just formulates the expression for the number of pages read and it eases the calculation for the number of pages read. (Answer)
Perimeter of a rectangle = 2(l+w)
Length = 4-7(3x+4y)
=4-21x-28y
Width = 3x(-2y)
=-6xy
Perimeter
=2(4-21x-28y-6xy)
Answer = 8-42x-56y-12xy
Let the constant be k.
For an inverse squared proportion the formula is y = k/x^2
Insert values of y and x into the formula.
3 = k/(-4)^2
3(-4)^2 = k
k = 3(16)
k = 48
Hope this helps. :)
