What is the radius of that equation?
1 answer:
You might be interested in
Answer:
a) There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.
b) There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.
c) There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.
d) The expected number of owners who would say having a good plan is the most important advice is 2.28
Step-by-step explanation:
Questions a), b), c) are all solved as binomial distribution problems.
Question d) is a simple calculation.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
For these problems
12 business owners were contacted, so .
a. What is the probability that none of the owners would say preparing for long hours and hard work is the most important advice?
20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so .
That is P(X=0) when .
There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.
b. What is the probability that six or more owners would say preparing for long hours and hard work is the most important advice?
20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so .
This is:
So:
There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.
c. What is the probability that exactly five owners would say having good financing ready is the most important advice?
Twenty-five percent say the most important advice is to have good financing ready, so
There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.
d. What is the expected number of owners who would say having a good plan is the most important advice?
Nineteen percent say having a good plan is the most important advice, so that is
The expected number of owners who would say having a good plan is the most important advice is 2.28
Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3