By definition, the unit vector of v = (a,b) is
![\hat{v} = \frac{\vec{v}}{|v|}](https://tex.z-dn.net/?f=%5Chat%7Bv%7D%20%3D%20%20%5Cfrac%7B%5Cvec%7Bv%7D%7D%7B%7Cv%7C%7D%20)
Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is
![( \frac{3}{\sqrt{34}} , \frac{5}{\sqrt{34}} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B3%7D%7B%5Csqrt%7B34%7D%7D%20%2C%20%20%5Cfrac%7B5%7D%7B%5Csqrt%7B34%7D%7D%20%29)
The unit vector of v₂ in the directin of |v₂| is
A quotient is the result of dividing one number by another. For example, the quotient of 6 and 3 equals 6/3 or 2. In your problem above it is asking you to provide the quotient of 10 and 2 meaning you divide the 2 into the ten and end up with 10/2 or 5.
So I think the answer is 10/2 or 5
X1-x2/y1-y2 is what you need for ordered pair
52.17% is the probability she will miss for the first time.
Answer:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
A confidence interval has two bounds, the lower and the upper
Lower bound:
![\pi - M](https://tex.z-dn.net/?f=%5Cpi%20-%20M)
Upper bound:
![\pi + M](https://tex.z-dn.net/?f=%5Cpi%20%2B%20M)
In this problem, we have that:
![\pi = 0.26, M = 0.05](https://tex.z-dn.net/?f=%5Cpi%20%3D%200.26%2C%20M%20%3D%200.05)
Lower bound:
![\pi - M = 0.26 - 0.05 = 0.21](https://tex.z-dn.net/?f=%5Cpi%20-%20M%20%3D%200.26%20-%200.05%20%3D%200.21)
Upper bound:
![\pi + M = 0.26 + 0.05 = 0.31](https://tex.z-dn.net/?f=%5Cpi%20%2B%20M%20%3D%200.26%20%2B%200.05%20%3D%200.31)
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.