Answer:
NOT proportional
Step-by-step explanation:
y/x = 5/2 = 2.5
y/x = 6/3 = 2
also 7/4 = 1. 75 and 8/5 = 1.6 so:-
They are NOT proportional
Sum of interior angle of polygon: S = (n-2) * 180°,
where n is number of sides and where S is total degrees.
With 6 sides, n = (6-2)*180 = 720°
Then set all of the interior equations equal to the sum, or
720 = 5x + 4x+2 + 5x+6 + 2x-2 + 3x+5 + x-10
720 = 20x + 1
719 = 20x
x = 
= 35.95
Triangle ABC has vertices A, B and C at points (-3,4), (-3,0) and (-1,3), respectively.
1. First transformation is rotation by 90° anti-clockwise about the origin. This transformation has a rule:
(x,y)→(-y,x).
Then
- A(-3,4)→A''(-4,-3);
- B(-3,0)→B''(0,-3);
- C(-1,3)→C''(-3,-1).
2. Second transformation is translation 2 units to the right with a rule
(x,y)→(x+2,y).
Then,
- A''(-4,-3)→A'(-2,-3);
- B''(0,-3)→B'(2,-3);
- C''(-3,-1)→C'(-1,-1).
Answer: First transformation is rotation by 90° anti-clockwise about the origin, second transformation is translation 2 units to the right.
0.032x+0.041 (1500-x)=54.3
Solve for x
0.032x+61.5-0.041x=54.3
0.032x-0.041x=54.3-61.5
-0.009x=-7.2
X=7.2/0.009
X=800 invested at 3.2%
1500-800=700 invested at 4.1%
Complete question is;
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster.
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans
Answer:
Systematic Sample
Step-by-step explanation:
We are told that the quality control manager selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans.
Thus, the selection is from a large sample of produce.
This is synonymous with systematic sample because systematic sample can be defined as a type of probability sampling in which sample members from a larger population are selected according to a random starting point but with a set periodic interval.
This resonates with the statement in the question about selecting every 18th soup from the production assembly line.
