The total amount of money he had to pay for the bike is $3,954.02 because 6 percent of 7 is 4.2
X= -14/3 that's the answer there bud i need to make this 20 caracters longs so yeah x=-14/3
In order to do this, you must first find the "cross product" of these vectors. To do that, we can use several methods. To simplify this first, I suggest you compute:
‹1, -1, 1› × ‹0, 1, 1›
You are interested in vectors orthogonal to the originals, which don't change when you scale them. Using 0,-1,1 is much easier than 6s and 7s.
So what methods are there to compute this? You can review them here (or presumably in your class notes or textbook):
http://en.wikipedia.org/wiki/Cross_produ...
In addition to these methods, sometimes I like to set up:
‹1, -1, 1› • ‹a, b, c› = 0
‹0, 1, 1› • ‹a, b, c› = 0
That is the dot product, and having these dot products equal zero guarantees orthogonality. You can convert that to:
a - b + c = 0
b + c = 0
This is two equations, three unknowns, so you can solve it with one free parameter:
b = -c
a = c - b = -2c
The computation, regardless of method, yields:
‹1, -1, 1› × ‹0, 1, 1› = ‹-2, -1, 1›
The above method, solving equations, works because you'd just plug in c=1 to obtain this solution. However, it is not a unit vector. There will always be two unit vectors (if you find one, then its negative will be the other of course). To find the unit vector, we need to find the magnitude of our vector:
|| ‹-2, -1, 1› || = √( (-2)² + (-1)² + (1)² ) = √( 4 + 1 + 1 ) = √6
Then we divide that vector by its magnitude to yield one solution:
‹ -2/√6 , -1/√6 , 1/√6 ›
And take the negative for the other:
‹ 2/√6 , 1/√6 , -1/√6 ›
Answer:
If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.
Step-by-step explanation:
We have a group of people between agss of 65 and 70.
They are divided in two groups regarding their amount of exercise: "none", "moderate" and "high".
The response variable is blood pressure, that was categorized as "normal"or "high".
Then, we have the frequencies table as:
Amount of exercise None Moderate High
Blood pressure High 54 23 7
Blood pressure Normal 86 76 32
We have to calculate the probability that, given that the person had high blood pressure, he or she did not exercise.
If the person had high blood pressure, it can be of the any of the 3 groups of exercise amount. There are 54 people with high blood pressure that did not exercise, 23 that did moderate amount of exercise, and 7 that did a high amount.
Then, the probability can be calculated dividing the amount of people that had high blood pressure and did not exercise, by all the people that have high blood pressure (regarding the amount of exercise):
If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.
