this table shows input and output values for a linear function f(x). What is the difference of outputs for any two inputs that a
re one value apart?
2 answers:
Answer: The answer is (c) 0.5.
Step-by-step explanation: We are given a table that shows the input and output values of a function f(x). We are to find the difference of outputs for any two inputs that are one value apart.
That is, we need to find f(n + 1) - f(n), for n > -4.
Let us take n = 0. So, n + 1 = 0.
From the table, we note that f(0) = 1 and f(1) = 1.5.
Therefore, we have
We can also check taking different values of 'n' that the difference will come out to be same, i.e., 0.5.
Thus, the answer is 0.5.
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Answer: 0.476
Step-by-step explanation:
Let A = Event of choosing an even number ball.
B = Event of choosing an 8 .
Given, A lottery game has balls numbered 1 through 21.
Sample space: S= {1,2,3,4,5,6,7,8,...., 21}
n(S) = 21
Then, A= {2,4,6,8, 10,...(20)}
i.e. n(A)= 10
B= {8}
n(B) = 1
A∪B = {2,4,6,8, 10,...(20)} = A
n(A∪B)=10
Now, the probability of selecting an even numbered ball or an 8 is
Hence, the required probability =0.476