The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)
taking another point (-1,5)
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)
b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1
Answer:
Step-by-step explanation:
Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute
= 12 per hour.
a) the probability that the time between two successive arrivals is less than 6 minutes
= For one hour more than 60/6 =10 customers arrive.
P(X>10) = 0.6528
b) Prob that there will be exactly three arrivals during a given 10-minute period
P(x=3) for average 2
= 0.1804
300 represents the initial value or the value that you started with.
1.15 is the rate that the function increases by over t (time)
Hmmmm to convert from improper to mixed, simply do the division of both, the quotient gets upfront, the remainder as the numerator, for example,
how many times 3 goes into 81? well, 27 times, with a remainder of 0, thus
how many times does 2 go into 29? well 14 times, with a remainder of 1, thus
Answer:
$3863.68
Step-by-step explanation:
Please see attachment
