Step-by-step explanation:
Permutation
:The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.
Factorial
: There are n! ways of arranging n distinct objects into an ordered sequence.
Considering a situation when n = r in a permutation, nPr reduces to n!, a simple factorial of n.
Proof: 3P3 = 3!
n = 3 and r = 3
But 0! = 1
3P3 = 3!
Answer:
An equation is used when we have paired sets of data to describe how the values in one pair change when we alter the values in the other set.
On the other hand, a series gives a general formula of determining the value of the nth observation when the values have been arranged in increasing order
Step-by-step explanation:
An equation such as; y = 3x+5 models the relation between the response variable y and the predictor variable x. It tells us how y changes when x is altered by a certain magnitude. The value 3 is described as the slope while 5 is the y-intercept.
On the other hand, a series such as; score = 2 + 3n provides a general formula that can be used to determine the score of the nth individual in a sample or population.
Yes because if you answer both you get the same answer
Answer:
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of mg of sodium in 1 oz of chips.
y is the number of mg of sodium in a cup of soda.
Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.
This means that:
Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.
This means that:
From the first equation:
Replacing in the second
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Answer:
dy/dx at x=6 is 0.334
Step-by-step explanation:
The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:
