Answer:
Here are some possibilities:
a.) 9 + -9 = 0
b.) 8 + 2 + -10 = 0
c.) 6 + 4 + -2 + -8 =0
Answer:
0.249 is the required proportion.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 822
Number of people who preferred foreign cars over domestic, x = 205
We have to find the proportion of new car buyers who prefer foreign cars.
Formula:
![\hat{p} = \dfrac{x}{n}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%20%3D%20%5Cdfrac%7Bx%7D%7Bn%7D)
Putting values, we get,
![\hat{p} = \dfrac{205}{822}\\\\\hat{p} = 0.249](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%20%3D%20%5Cdfrac%7B205%7D%7B822%7D%5C%5C%5C%5C%5Chat%7Bp%7D%20%3D%200.249)
Thus, 0.249 is the proportion of the new car buyers who preferred foreign over domestic cars..
The simplified answer of 6/35 is 6/35. It is in simplest form.
D. both climbers rested on the wall for 2 minutes
<h2>
Explanation:</h2><h2>
</h2>
The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:
![x:\text{Time} \\ \\ y:\text{Number of teams registered}](https://tex.z-dn.net/?f=x%3A%5Ctext%7BTime%7D%20%5C%5C%20%5C%5C%20y%3A%5Ctext%7BNumber%20of%20teams%20registered%7D)
We also know that each week 6 teams register to participate, so:
![\bullet \ \text{For week 0:} \rightarrow \text{0 teams registered} \\ \\ \bullet \ \text{For week 1:} \rightarrow \text{6 teams registered} \\ \\ \bullet \ \text{For week 2:} \rightarrow \text{12 teams registered (Because 6+12)} \\ \\ \bullet \ \text{For week 3:} \rightarrow \text{18 teams registered (Because 12+6)}](https://tex.z-dn.net/?f=%5Cbullet%20%5C%20%5Ctext%7BFor%20week%200%3A%7D%20%5Crightarrow%20%5Ctext%7B0%20teams%20registered%7D%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20%5Ctext%7BFor%20week%201%3A%7D%20%5Crightarrow%20%5Ctext%7B6%20teams%20registered%7D%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20%5Ctext%7BFor%20week%202%3A%7D%20%5Crightarrow%20%5Ctext%7B12%20teams%20registered%20%28Because%206%2B12%29%7D%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20%5Ctext%7BFor%20week%203%3A%7D%20%5Crightarrow%20%5Ctext%7B18%20teams%20registered%20%28Because%2012%2B6%29%7D)
As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:
![y=6x](https://tex.z-dn.net/?f=y%3D6x)
In conclusion, <em>the linear model (first graph below) is the one that bests represents the relationship between time and the number of teams registered.</em>