Answer:
2u + v - 4w = <40 , -4>
6u - 8v = <-78 , 58>
4v - 7w = <101 , -36>
11u + 3w = <-88 , 89>
Step-by-step explanation:
* Lets find the value of each operation to find its resultant vector
# 2u + v - 4w
∵ u = <-5 , 7>
∴ 2u = <-10 , 14>
∵ v = <6 , -2>
∵ w = <-11 , 4>
∴ 4w = <-44 , 16>
∴ 2u + v - 4w = <-10 + 6 - -44 , 14 + -2 - 16>
∴ 2u + v - 4w = <40 , -4>
# 6u - 8v
∵ u = <-5 , 7>
∴ 6u = <-30 , 42>
∵ v = <6 , -2>
∵8v = <48 , -16>
∴ 6u - 8v = <-30 - 48 , 42 - -16>
∴ 6u - 8v = <-78 , 58>
# 4v - 7w
∵ v = <6 , -2>
∴ 4v = <24 , -8>
∵ w = <-11 , 4>
∴ 7w = <-77 , 28>
∴ 4v - 7w = <24 - -77 , -8 - 28>
∴ 4v - 7w = <101 , -36>
# 11u + 3w
∵ u = <-5 , 7>
∴ 11u = <-55 , 77>
∵ w = <-11 , 4>
∴ 3w = <-33 , 12>
∴ 11u + 3w = <-55 + -33 , 77 + 12>
∴ 11u + 3w = <-88 , 89>
Answer: parameter: The proportion of registered voters who will vote Yes on the measure.
Sample: The 1000 registered voters who participated in the study.
Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
Variable: Yes or No for each registered voter
Population: All registered voters in the US
Data: The list of Yes and No answers that were given by the 1000 participants in the study.
Step-by-step explanation:
Definitions of the given terms:
- Population: Large groups of individuals having similar characteristics as per the researcher's point of view.
- Sample: It is a subset of the population used to represent it.
- Parameter: Measure of particular characteristics in the population.
- Statistic: Measure of particular characteristics in the sample.
- Variable: Characteristics that vary.
- Data: A collected information facts and statistics.
Hence, by using the above definitions, we have
- Parameter: The proportion of registered voters who will vote Yes on the measure.
- Sample: The 1000 registered voters who participated in the study.
- Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
- Variable: Yes or No for each registered voter.
- Population: All registered voters in the US.
- Data: The list of Yes and No answers that were given by the 1000 participants in the study.
Given that the terminal side of an <θ intersects the unit circle at the point
![P(\frac{5}{6},\frac{-\sqrt[]{11}}{6})](https://tex.z-dn.net/?f=P%28%5Cfrac%7B5%7D%7B6%7D%2C%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%29)
From the given point P:
![\begin{gathered} x=\frac{5}{6} \\ y=\frac{-\sqrt[]{11}}{6} \\ \text{ s}ince,\text{ x is positive and y is negative, the angle lies in the 4th quadrant} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B5%7D%7B6%7D%20%5C%5C%20y%3D%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%20%5C%5C%20%5Ctext%7B%20s%7Dince%2C%5Ctext%7B%20x%20is%20positive%20and%20y%20is%20negative%2C%20the%20angle%20lies%20in%20the%204th%20quadrant%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \tan \theta=\frac{\text{ opposite}}{\text{Adjacent}}=\frac{y}{x} \\ \tan \theta=\frac{\frac{-\sqrt[]{11}}{6}}{\frac{5}{6}}=\frac{-\sqrt[]{11}}{5} \\ \tan \theta=-0.6633 \\ \theta=326.44^0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctan%20%5Ctheta%3D%5Cfrac%7B%5Ctext%7B%20opposite%7D%7D%7B%5Ctext%7BAdjacent%7D%7D%3D%5Cfrac%7By%7D%7Bx%7D%20%5C%5C%20%5Ctan%20%5Ctheta%3D%5Cfrac%7B%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%7D%7B%5Cfrac%7B5%7D%7B6%7D%7D%3D%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B5%7D%20%5C%5C%20%5Ctan%20%5Ctheta%3D-0.6633%20%5C%5C%20%5Ctheta%3D326.44%5E0%20%5Cend%7Bgathered%7D)
Answer:
20.00
Step-by-step explanation:
Divide 60 per minute its a formula.
Sorry, what? A popular song? Ok, maybe Tell me you love me
