To find the probability of a student taking english and art, you will multiply the separate probabilities together to find the probability of both occurring.
4/5 x 2/9 = 8/45
There is 8/45 probability of taking both.
Answer:
You add it in your mind.
Step-by-step explanation:
The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up ⇒ 2nd answer
horizontal translation 5 units left ⇒ 4th answer
Step-by-step explanation:
Let us revise the translation:
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ f(x) = 8x
∵ g(x) = (8x + 5) + 1
- From the notes above translation to the left h units added x by h
∵ 8x is added by 5
∴ f(x) translated 5 units to the left
- From the notes above translation up k units added f(x) by k
∵ f(x) is added by 1
∴ f(x) translated 1 unit up
The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up
horizontal translation 5 units left
Learn more:
You can learn more about translation in brainly.com/question/2451812
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A joint relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the frequency’s row total or column total.
<h3>
Answer:</h3>
See the image below
<h3>
Step-by-step explanation:</h3>
Just as the problem statement tells you, 4 is added to every x-coordinate, and 2 is added to every y-coordinate. On the graph, this means each point is moved 4 units to the right and 2 units up.