Answer:

Step-by-step explanation:
We need to find the equation of parabola using given information
- Vertex: (0,0)
- Open to the left
- Focal width = 12
If parabola open left and passes through origin then equation is

Focal width = 12
Focal width passes through focus and focus is mid point of focal width.
Focus of above parabola would be (-a,0)
Passing point on parabola (-a,6) and (-a,-6)
Now we put passing point into equation and solve for a


a can't be negative.
Therefore, a=3
Focus: (-3,0)
Equation of parabola:

Please see the attachment of parabola.

Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3

Std dev = square root of variance = 0.9
------------------------------------
b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
For the house A we have:
f (x) = 124270 (1.04) ^ x
Evaluating for 7, 8, 9 and 10 we have:
f (7) = 124270 (1.04) ^ 7 = 163530.8422
f (8) = 124270 (1.04) ^ 8 = 170072.0759
f (9) = 124270 (1.04) ^ 9 = 176874.9589
f (10) = 124270 (1.04) ^ 10 = 183949.9573
For house B we have:
f (x) = 114270 (1.05) ^ x
Evaluating for 7, 8, 9 and 10 we have:
f (7) = 114270 (1.05) ^ 7 = 160789.3653
f (8) = 114270 (1.05) ^ 8 = 168828.8336
f (9) = 114270 (1.05) ^ 9 = 177270.2752
f (10) = 114270 (1.05) ^ 10 = 186133.789
We observe that for years 7 and 8 the value of house A is greater than the value of house B.
Answer:
7 and 8
Answer:87.5
Step-by-step explanation: I can find the total cost of a 5 hire bike tour because I'm given the unit rate and the amount of time to multiply it by.