Heidi looked at this graph and thought, “The first point I see is at 2 tsp of nutmeg and 3 tsp of cinnamon. The unit rate is 3 t
sp of cinnamon for every 2 tsp of nutmeg.”
Is Heidi correct?
No. The unit rate should be 2 teaspoons of cinnamon to 3 teaspoons of nutmeg.
No. The unit rate should be 1.5 teaspoons of nutmeg to 1 teaspoon of cinnamon.
No. The unit rate should be 1.5 teaspoons of cinnamon to 1 teaspoon of nutmeg.
Yes. Heidi is correct.
Is Heidi correct?
No. The unit rate should be 2 teaspoons of cinnamon to 3 teaspoons of nutmeg.
No. The unit rate should be 1.5 teaspoons of nutmeg to 1 teaspoon of cinnamon.
No. The unit rate should be 1.5 teaspoons of cinnamon to 1 teaspoon of nutmeg.
Yes. Heidi is correct.
2 answers:
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Answer:
Step-by-step explanation:
Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4 again), the probability of taking a specific path is the multiplication of the probability of these two steps:
There are only 4 roads that can take the ant to the bottom in 2 steps, each road with a probability of 1/16, adding the probability of these 4 roads:
The probability of the ant ending up at the bottom is or 0.25.
Answer:
(–1.4, 1.5)
Step-by-step explanation:
The blue line and the purple line are the lines corresponding to the equations of interest. Their point of intersection is in the 2nd quadrant, so is nearest to ...
(–1.4, 1.5)
__
It can be useful to understand that for equations in standard form:
ax +by = c
the x- and y-intercepts are ...
- x-intercept: c/a . . . . value of x for y = 0
- y-intercept: c/b . . . . value of y for x = 0
__
For the equations of interest, the first has intercepts of ...
x=2/3, y=1/2 . . . . graphed line makes a 1st-quadrant triangle with the axes (blue line)
And the second has intercepts of ...
x=-1, y=-4 . . . . graphed line makes a 3rd-quadrant triangle with the axes (purple line)
Since the purple line has a steeper slope, the point of intersection of the lines will be in the 2nd quadrant. There is only one 2nd-quadrant answer choice: (-1.4, 1.5).
