$1,000 because 2.50x200=500 500+500=1,000
TLDR: 241 clients will be taking +3 vacations.
This is a common example of representative scale size, or sample size. In selecting a small amount of people at random from a larger group, one can estimate the amount of people in the large group picking a specific answer based on a smaller, but proportionate, group size.
In the sample size, 21 of the 45 tested people said that they would go on more than three vacations a year, and this scale is supposedly proportional to the total group. Therefore, we can use a simple proportion to estimate the amount of people who would also say that they are going on more than three trips a year:
21 would ‘N’ would
————— = ——————
45 total 516 total
where N represents the number of people in the big group that would go on more than three trips a year.
Solve the proportion by cross-multiplication:
45N = 10,836
N = 240.8 people, or 241 people.
Based on the sample data, 241 people out of the 516 total will be taking more than three vacations a year.
The formula to find the area of a triangle is
If you have any more questions let me know!
Property: In every triangle the median is divided by the centroid (intersection point of the medians) in a 2:1 ratio, the shorter toward the midpoint of the side. We use this property in all of the above:
1. PD = 15. Since we know CP=30, PD is half of that, i.e., 15
2. FP = 13. Since BF = 39, and we know that FP is 1/3 of BF (see property stated above), FP = 13.
3. BP = 26. Following (2), BF is partitioned by FP and BP as 1:2. Hence BP is 2/3 of FP, or 26.
4. CD=45. In (1) we calculated PD=15 and we are given CP=30, so CD=45.
5. PA=36. We are given EP=18, which is 1/3 of length EA, so PA = 2*EP = 36.
6. EA=54. EA=EP+PA = 18+36=54
True .... I think?? Cuz if m=40 (cuz 40 is a multiple of 20) and 40 is also a multiple of 10