Answer:
1.) Combination
2.) 126
Hope this helps!
Step-by-step explanation:
A permutation when the order of selection is a factor.
A combination when order is not a factor.
To get the answer to this equation you first cancel out the 6! ;)
(x^2-1)(6x-1) / (x+1)
Then rewrite x^2-1 in the form a^2 + b^2, where a=x and b=1
(x^2-1^2)(6x-1) / (x+1)
Then use the difference of squares!
(x+1)(x-1)(6x-1) / (x+1)
LASTLY cancel "x+1" !
so ur answer is (x-1) (6x-1)
That makes the correct answer to this problem answer choice (D) (x-1) (6x-1)
YW!!! ;)
Answer:
(25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Step-by-step explanation:
The general representation P(x,y) represents the Cartesian Representation of a point in a 2 Dimension.
Here, x represents the distance of the point P from y axis to the x axis.
and y represents the distance of the point P from x axis to the y axis.
(x, y) together gives the 2 dimensional representation of the point P.
Now here, the given coordinates are (25, 20)
So, here x = 25 and y = 20
So, (25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Hence, option 3 is the most appropriate.
Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which 
is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
The mean time for the component failure is 2500 hours.
This means that 
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
