A student answer 86 problems on a test correctly and received a grade of 98% how many problems were on the test if all the probl
1 answer:
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Since (density = mass/volume), we can get the mass/weight of the liquid by integrating the density
over the interior of the tank. This is done with the integral
which is more readily computed in cylindrical coordinates as
Answer:
0.56 is the required probability.
Step-by-step explanation:
Time for which signal shows green light = 4 minutes
Time for which signal shows yellow light = 10 seconds
Time for which signal shows red light = 3 minutes
To find:
Probability that the signal will show green light when you reach the destination = ?
Solution:
First of all, let us convert each time to same unit before doing any calculations.
Time for which signal shows green light = 4 minutes = 4 60 seconds = 240 seconds
Time for which signal shows yellow light = 10 seconds
Time for which signal shows red light = 3 minutes = 3 60 seconds = 180 seconds
Now, let us have a look at the formula for probability of an event E:
Here, E is the event that green light is shown by the signal.
Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>
So, the required probability is:
The greatest common factor between 64 and 24 is 8
Let's divide both terms in the expression by 8 and leave the expression in parenthesis...
Like this!
64x -24
8x - 3
Leave 8 we divided outside the parenthesis
Now we have this!
8( 8x - 3)
This is the distributive property form!