Miranda's I think because her car may take more gas but it goes a farther distance
Answer:
Driver 1 score: 9
Driver 2 score: 3
Step-by-step explanation:
We are given the following in the question:
The number of marks scored on a driving test are y(x) is a dependent variable and the number of drinks taken by the driver is the independent variable(x).
Slope, m = -3
y-intercept,c = 18
Then, we can write the regression equation as:
![y(x) = mx + c\\y(x) = -3x + 18](https://tex.z-dn.net/?f=y%28x%29%20%3D%20mx%20%2B%20c%5C%5Cy%28x%29%20%3D%20-3x%20%2B%2018)
Driver 1 consumed 3 drinks.
We put x = 3 in the regression equation.
Thus, the predicted driving 1 score for driver 1 is
![y(3) - -3(3) + 18\\y(3) = 9](https://tex.z-dn.net/?f=y%283%29%20-%20-3%283%29%20%2B%2018%5C%5Cy%283%29%20%3D%209)
Driver 1 predicted score is 9.
Driver 2 consumed 5 drinks.
We put x = 5 in the regression equation.
Thus, the predicted driving 2 score for driver 2 is
![y(5) - -3(5) + 18\\y(5) = 3](https://tex.z-dn.net/?f=y%285%29%20-%20-3%285%29%20%2B%2018%5C%5Cy%285%29%20%3D%203)
Driver 2 predicted score is 3.
Answer:
Population in 2013 is 132.76 ≈ 133 million.
Step-by-step explanation:
A country's population in 1990 was 123 million
In 2002 it was 128 million.
We have to calculate the population in 2013.
Since population growth is always represented by exponential function.
It is represented by ![P(t)=P_{0}e^{kt}](https://tex.z-dn.net/?f=P%28t%29%3DP_%7B0%7De%5E%7Bkt%7D)
Here t is time in years, k is the growth constant, and
is initial population.
For year 1990 ⇒
128 =
= ![123e^{12k}](https://tex.z-dn.net/?f=123e%5E%7B12k%7D)
![\frac{128}{123}=e^{12k}](https://tex.z-dn.net/?f=%5Cfrac%7B128%7D%7B123%7D%3De%5E%7B12k%7D)
taking ln on both the sides ⇒
ln ![(\frac{128}{123})= lne^{12k}](https://tex.z-dn.net/?f=%28%5Cfrac%7B128%7D%7B123%7D%29%3D%20lne%5E%7B12k%7D)
ln 128 - ln 123 = 12k [since ln e = 1 ]
4.852 - 4.81218 = 12 k
k = ![\frac{0.03985}{12}=0.00332](https://tex.z-dn.net/?f=%5Cfrac%7B0.03985%7D%7B12%7D%3D0.00332)
For year 2013 ⇒
![P(t)=P_{0}e^{kt}](https://tex.z-dn.net/?f=P%28t%29%3DP_%7B0%7De%5E%7Bkt%7D)
![P(t)=123.e^{(0.00332)(23)}](https://tex.z-dn.net/?f=P%28t%29%3D123.e%5E%7B%280.00332%29%2823%29%7D)
= 123 × ![e^{0.07638}](https://tex.z-dn.net/?f=e%5E%7B0.07638%7D)
= 123 × 1.07937
= 132.76 rounded to 133 million.
Therefore, population in 2013 is 132.76 ≈ 133 million.
Answer:
3.2976
Step-by-step explanation:
i just took it