The difference between masses of both cones is: 838 grams
Step-by-step explanation:
As both cones have same height and radius. Both will have same volume
Here
r=4 cm
h= 10 cm
The volume is given by:
Putting values
Mass of Steel Cone:
Mass of Granite Cone:
Difference between masses of both cones
Rounding off to nearest gram: 838 grams
The difference between masses of both cones is: 838 grams
Keywords: Volume, Mass
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Answer:
Step-by-step explanation:
We can model the string as a hypergeometric distribution, as each bit has two possible values, 1 or 0, and the chance of a 1 or 0 changes with every bit, as there are a finite number M of 0's and N of 1's and every bit takes one of those values.
If M+N (total size of the string) >> r (number of trials), we could model it as a binomial distribution as the probability of a 1 or 0 wouldn't change in a significant amount with every bit, but as we don't know the magnitude of M+N and r, we follow up with hypergeometric distribution.
The distribution has the following formula for probability:
Where k is the number of sucesses, K is how many total sucess states are in the population, N is the population size and n is the number of draws.
For our case, a 1 would be a sucess, i.e. k the number of 1's we want to know the probability, N our total number of 1's, M+N the length of the string (population size) and we want to analyse what happens in the first r bits (number of draws):
The standard deduction compare to Chris’s deductions is letter D which is "<span>The standard deduction is $664 better than Chris’s deductions."
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Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0