The probability of drawing a black marble from a bag is 1/2, and the probability of drawing a white marble from the same bag is
2 answers:
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Answer:
D
Step-by-step explanation:
40% = =
← in simplest form
Then
of $120 =
× $120 = 2 × $24 = $48
she pays $120 - $48 = $72
Answer:
The rocket will hit the ground after about 8.20 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em>, in feet, <em>x</em> seconds after launch is modeled by the equation:
We want to find the time at which the rocket will hit the ground.
If it hits the ground, the height of the rocket <em>y</em> will be 0. Thus:
We can solve for <em>x</em>. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:
In this case, <em>a</em> = -16, <em>b</em> = 121, and <em>c </em>= 83. Substitute:
Simplify:
Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:
Therefore, our two solutions are:
Since time cannot be negative, we can ignore the second solution.
Therefore, the rocket will hit the ground after about 8.20 seconds.