M=-5, b=-2 hope this helps
H(t)=-16t^2+1221 is the function for the height as a function of time. It will hit the ground when h=0 so:
-16t^2+1221=0
16t^2-1221=0
16t^2=1221
t^2=1221/16
t=√(1221/16) seconds
t≈8.74 seconds (to nearest hundredth of a second)
the company's production unit has a risk of carbon emission
the probability that the company is exceeding the permissible level is 35% =0.35
so there can only be two possibilities, either the company is exceeding the permissible level or its within the permissible level.
and the accuracy of the test that tests the emission level is 85%
so the probability that the carbon emission is within the permissible level is
1 - 0.35 = 0.65
probability that the test measures this accurately is 0.85
therefore when checking the probability that both events happen we have to multiply the 2 probabilities
the probability that carbon emission is within the permissible level and test predicts this outcome is - 0.65 x 0.85 = 0.5525
answer is D.0.5525
From the graph,
f(-2) = 0
and, g(-2) = 0
(ƒ − g)(−2)= f(-2)-g(-2) = 0
OPTION B is the correct answer
