No correlation
A scatterplot is used to represent a correlation between two variables. There are two types of correlations: positive and negative. Variables that are positively correlated move in the same direction, while variables that are negatively correlated move in opposite directions.
Hello,
Shall we begin?
1. what is 10% of 20? = 20 * 0.1 = 2
2.What is 5% of 10? = 10 * 0.05 = 0,5
3. What is 25% of 100? = 100 * 0,25 = 25
4. What is 15% of 50? = 50 * 0.15 = 7,5
5. What is 30% of 60? = 60 * 0,3 = 18
6. What is 50% of 80? = 80 * 0,5 = 40
7. What is 20% of 120? = 120 * 0,2 = 24
8. What is 35% of 70? = 70 * 0,35 = 24.5
9. What is 75% of 150? = 150 * 0,75 = 112.5
10. What is 60% of 90? = 90 * 0,6 = 54
11. What is 40% of 40? = 40 * 0,4 = 16
12. What is 55% of 110? = 110 * 0.55 = 60.5
13. What is 80% of 130? = 130 * 0,80 = 104
Answer:
- r(0) = <0, 100> . . . . . . . .meters
- r'(0) = <7.071, 7.071> . . . . meters per second
Step-by-step explanation:
<u>Initial Position</u>
The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...
r(0) = <0, 100>
<u>Initial Velocity</u>
The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...
r'(0) = <10·cos(π/4), 10·sin(π/4)>
r'(0) ≈ <7.071, 7.071>
The first equation can be simplified down to 3 and -\frac{3}{2}[/tex]. Therefore, ">" is correct.
The second equation can be simplified down to 12 and 6.25. Therefore, "<" is incorrect. It should be ">".
