First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .
Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94 seconds.
Answer in interval notation is (3, 5.94].
The expected value of the number of points for each turn is 0.25
<h3>What is expected value?</h3>
Expected value describes the long term average level of a random variable based on its probabilty distribution.
Now, Probability that 2 heads come up is
P(2 is H) = 1/4
Probability that 1 heads come up is
P(1 is H) = 2/4
⇒P(1 is H) = 1/2
Probability that no head will come up
P(no H's) = 1/4
Hence, the expected value for winning of 2points, 1point and lose of3 points is given as-
Expected value = 2 * P(2 is H) + 1 * P(1 is H) - 3 * P(no H's)
⇒Expected value = 2 * 1/4 + 1 * 1/2 - 3 * 1/4
= 0.5 + 0.5 - 0.75
⇒Expected value = 0.25
More about Expected value :
brainly.com/question/22715250
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<span>(4x - 1) + (-5x + 17)
=4x-1-5x+17
= -x +16</span>
Answer:
( x - 2 ) ( x + 2 ) ( x² + 4 ) - ( x² - 2 ) ( x² + 3 )
(x²– 4) (x²+4) – (x⁴ + x² – 6)
( x⁴ – 16 ) – ( x⁴ + x² – 6 )
( x⁴ – 16 ) + ( – x⁴ – x² + 6 )
– x² – 10
I hope I helped you^_^
