Assuming a fair die,
probability of winning 0.25 = (2/6) = 1/3
probability of losing 0.25 = (4/6) = 2/3
Expected win
= sum (proba.*winning)
=0.25*(1/3) + (-0.25)(2/3)
=-0.25/3
= - (1/12) dollars (negative sign means expecting to lose)
<h3>Answer: </h3>
about 1.768 seconds
<h3>Explanation:</h3>
Since the phone is <em>dropped</em>, the first equation applies. The final height is assumed to be zero, so we have ...
... h(t) = 0 = -16t² +50
... 16t² = 50 . . . . . . . . add 16t²
... t² = 50/16 . . . . . . . . divide by 16
... t = √3.125 . . . . . . . take the square root
... t ≈ 1.768 . . . . . . . . round to milliseconds
Answer:
Step-by-step explanation:
3y + 1 - 2y = -3 -3y
4y = -4
y = -1
The slope would be -5 over 7
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard quadratic format:
. The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.
