Table
x f(x)
-2 0.2
-1 0.4
0 0.8
1 1.6
2 3.2
Look that the pair of data (0, 0.8), it means f(0) is 0.8
Given
that a^0 = 1, means that the coefficient of the function has to be 0.8
and you discard the first and the third options.
You have to replace the values of x in the equations and compare the results.
For f(x) = 0.8 * (2^x) you get
x f(x) = 0.8 * (2^x)
-2 0.8 * (2^-2) = 0.8 / 4 = 0.2
-1 0.8 * (2^-1) = 0.8 / 2 = 0.4
0 0.8 * (2^0) = 0.8 * 1 = 0.8
1 0.8 * (2^1) = 0.8 * 2 = 1.6
2 0.8 * (2^2) = 0.8 * 4 = 3.2
As you can see these results are the same of the table of the question, so the function is f(x) = 0.8 (2^x).
Answer: f(x) = 0.8 * (2^x)
Answer: Tristan can pick them out in 6 different ways
Step-by-step explanation: In the waiting room the four magazines all have an equal chance of being picked first and then others would be picked subsequently. If we are to pick magazine A first of all, then the others would be picked as B, C and D, or C, B and D, or D, B and C, and so on.
However, rather than spend so much time counting the different ways we can apply the mathematical method of permutation. Since choosing the first one means we can’t choose it again but others have to be chosen, and all four magazines each has an equal chance of being chosen first, then the number of all possible permutations is given as 4! (four factorial).
The question requires us to chose three out of the four magazines, so we shall apply 3!.
3! = 3 x 2 x 1
3! = 6
Therefore, there are 6 different ways to pick three out of the four magazines
(5^-2)= (1/5^2)... (1/25) now cube that so it will be 1/15625. Hope that helps
Answer:
1 3/5 - 5/6 = 23/30 ≅ 0.7666667
Feel free to correct if I am wrong. Hope this helps!
Answer:
E = 324
Step by step explanation: