1/4 * 1/3 * 1/2 * 1/1 = 1/24 chance that all 4 letters are placed in the correct envelopes.
With the first envelope, there are 4 choices of letters, so the probability of picking the correct letter is 1/4.
With the second envelope, there are 3 remaining letters, so the probability of picking the correct letter is 1/3.
The same logic follows the the third and final letter.
Answers:
- Translation 3 units up
- k = 3
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Explanation:
The y intercept of the black f(x) curve is at (0,1)
The y intercept of the blue curve is at (0,4)
To go from y = 1 to y = 4, we add 3
So we shift 3 units up to go from the f(x) curve to the g(x) curve.
The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.
You can do this by first finding the y intercept which is the point where x = 0
-3(0) + y = 2
so y intercept is the point (0,2)
Now find the x intercept by putting y = 0
-3x = 2
x = -2/3
So we have 2 points (-2/3, 0) and (0,2) Draw a line through these 2 points and you have the required graph.
Answer:
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Step-by-step explanation:
