Answer:
x=2 and x=-10 are the solutions that you should get by using the quadratic formula.
Answer:
Min. 1st Qu. Median Mean 3rd Qu. Max.
3.10 11.55 12.15 15.35 18.45 30.00
Step-by-step explanation:
The five-number summary includes five things that are:
1. Minimum Value
2. First Quartile (Q₁)
3. Median
4. Third Quartile (Q₃)
5. Maximum Value
So,
1. Minimum Value = 3.10
It can be found by arranging the data in ascending order, the first value we will get is the minimum value.
2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.
First Quartile (Q₁) = 11.55
3. Median is the middle value of the data after arranging them in ascending order.
Median = 12.15
4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.
Third Quartile (Q₃) = 18.45
5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.
Maximum Value = 30.
Percentiles are mostly use in very large data. Here n percent of data shows the nth percentile.
To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.