The table shows the outputs, y, for different inputs, x:
2 answers:
Hi there!
Let me explain each part to you, along with the answer.
a. Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y. None of the numbers in the table repeat, so we can safely say that the relation is a function.
b. We are given the function
. What we are asking to find is which table has a greater output value when x = 3. To start off, we can plug in 3 into the given function.
The output value for the function is 20. When we look at the table's output value for 3, we get 6. Therefore, has a greater value when x = 3.
c. We are asked to find the output value of the function when f(x) is equal to 76. Notice that the problem did not state an x value, but instead a substitution scenario. Hence, we will need to replace f(x) with 76.
Therefore, the value of x when f(x) is equal to 76 is 17.
Hope my answer has come of assistance to you and have a magnificent day!
Let me explain each part to you, along with the answer.
a. Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y. None of the numbers in the table repeat, so we can safely say that the relation is a function.
b. We are given the function
The output value for the function
c. We are asked to find the output value of the function
Therefore, the value of x when f(x) is equal to 76 is 17.
Hope my answer has come of assistance to you and have a magnificent day!
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Answer:
P(A or B) is 0.72
Step-by-step explanation:
Given : P(A) = 0.3 and P(B) = 0.6
To Find:P(A or B) = P(A∪B)
Solution :
We are given that A and B are two independent events
Property : If A and B are independent events then
So,
Formula :
Hence P(A or B) is 0.72
as you notice, the first term from the binomial, starts off with a highest exponent of 10, and then gradually goes down by 1 on every element.
the second term of the binomial, starts off with an exponent of 0, and goes up by 1 on every element.
now, to get the coefficient
the first coefficient is 1 and the second is the same as the binomial's exponent... those two are simple.... now, to get any subsequent one, we simply "get the product of the current coefficient and the exponent of the first term, and divide it by the exponent of the second term on the next element".
for example... how do we get 10 for the second element, basically 1 * 10/1
that one is simple
now how do we get say, 45 for the 3rd element?
10 * 9 / 2
how do we get 252 for the 6th element?
210 * 6 / 5
and so on, and from there, you can expand each element.