Refer to the diagram shown below.
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
Just set the equations equal to each other
(1,-4)
Answer:
0.1875
Step-by-step explanation:
σM=σ/√N
=8/√7500
=8/86.608
=0.092
Z=(x-μ)/σ/√N
=(25.5-36)/8/√7500
=-10.5/0.0092=-1141.304
Z score = -1.3125
=(27-36)/8/√7500
=
=9/0.0092=978.261
Z score= -1.125
-1.125-(-1.3125)=-1.125+1.3125)= 0.1875
The probability that the sample mean will be between 25.5 and 27 years
P(between 25.5 and 27) = 0.1875
Answer:
The total amount he will altogether be: $19360
Step-by-step explanation:
Given
- Amount Borrowed = P = $16,000
- Interest rate = r = 6% = 6/100 = 0.06
- Time period = t = 3.5 years
To determine
- Total Amount altogether = A
Using the formula
I = Prt
substituting the values P = 16,000, r = 0.06, t = 3.5 years
I = 16,000 × 0.06 × 3.5
I = $3360
Thus, the interest amount = $3360
Therefore, the total amount he will altogether:
A = P + I
A = 16,000 + 3360
A = $19360
Therefore, the total amount he will altogether be: $19360
Answer:
I don't know about you, but I would say the dog because it is the only relative object about the size and volume of the dog.