What is 3/18 written in simplest form
2 answers:
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Answer:
The mean no. of red cubes is more than the median no. of red cubes.
Step-by-step explanation:
According to the question, we can prepare the following table denoting the no. of bags containing any number of red cube(s). The no. of red cubes in each bag can theoretically be any no. between 0 and 20 (both end inclusive) as in total each bag contains 20 cubes of different colors.There are as a whole 10 bags (given).
No. of red cubes No. of bags
0 2 0
1 0 0
2 2 4
3 1 3
4 1 4
5 0 0
6 1 6
7 2 14
8 1 8
9 0 0
10 0 0
Total 10 39
Now, no. of bags containing no. of red cubes above 10 is 0 [since there are as a whole 10 bags only]
So, from the table we get that mean no, of red cubes in each bag
=
= 39/10 = 3.9
Also, from the table, we get that, no. of bags with no. of red cubes ≤ 3
= (2 + 2 + 1) = 5
and, no. of bags with no. of red cubes ≥ 4
= (1 + 1 + 2 + 1) = 5
Also there are 1 bag each for no. of red cubes = 3 and 4
So. median no. of red cubes = (3 + 4)/2 = 3.5
So, we get that the mean no. of red cubes is more than the median no. of red cubes.
This question is incomplete, the complete question is;
Find the gradient of the function g(x,y)= xy² at the point (5, - 1). Then sketch the gradient together with the level curve that passes through the point.
First find the gradient vector at (5, - 1).
Vg(5,- 1) = [ ]i - [ ]j (Simplify your answers.)
Choose the graph that shows the level curve and the gradient vector at (5, - 1).
options of the sketched graphs are uploaded along this answers
Answer:
Vg(5,- 1) = [ 1 ]i - [ 10 ]j
Option A is the correct graph for this Level
Step-by-step explanation:
Given that;
g(x,y) = xy²
we have to find gradient of this function at ( 5, -1 )
so
Δg(x,y) = dg/dx + dg/dy
d(g)/dx = y² , dg/dy = 2gx
therefore
Δg(x,y) = [y²]i + [2yx]j
Δ( 5, -1) = [-1²]i + [2×-1 ×5]j
=Δ(5, -1) = 1i - 10j
[ 1 ]i - [ 10 ]j
Therefore Option A is the correct graph for this Level
