Answer:
Hence, option C is true.
Step-by-step explanation:
Given the expression
Solving for 'm'
Flip the equation
Expanding by applying the distributive law: 
Add (-1)/2 × kn to both sides
simplify
Divide both sides by k/2
Therefore,
Hence, option C is true.
Well, the first thing you would do is find like denominators for each fraction.
Since the smallest common term between the two is 40, that will be your denominator for each. Then you would multiply the numerator by the number your denominator was multiplied to get to 40. So, you would end up with 16/40 because 5*8=40 and 2*8=16 and 5/40 because 8*5=40 and 1*5=5.
After that, you would just subtract them.
16/40 - 5/40 = 11/40 and as a decimal that is 0.275. So, Joe has eaten 0.275 more pizza than Jane.
Hope this helps! :)
Answer:
0.3667
0.2727
Step-by-step explanation:
a)
P (Blue) = P (large and Blue) + P (mid and Blue) + P (small and Blue)
P (Blue) = (0.5 * 0.2) + (0.4*7 / 12) + (0.1* 1 / 3)
P (Blue) = 0.3667
b)
Conditional Probability:
P (Large / Blue ) = P (large and Blue) / P ( Blue)
P (Large / Blue ) = 0.5*0.2 / 0.36667
P (Large / Blue ) = 0.2727
<h2>
Explanation:</h2>
In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:
So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:
Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m
