Answer:
0.16
Step-by-step explanation:
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
Answer:b
Step-by-step explanation:b
Answer:
what the rest of the problem?
Step-by-step explanation:
The probability that an interaction lasts longer than 4 minutes is 0.0062.
<h3>What is probability theory?</h3>
probability theory in mathematics focus on the analysis of random phenomena and this theory let us know that the outcome of a random event cannot be determined before it occurs.
z = (4 - 3)/.4
z = 1/.4
z = 2.5
0.0062
Hence The probability that an interaction lasts longer than 4 minutes is 0.0062.
Read more on the probability here:
brainly.com/question/3248965
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