A student takes the same street from his home to the university every day. There are 3 streetlights along the way, and he has no
1 answer:
Answer:
0.3542 = 35.42% probability that the third light is red
Step-by-step explanation:
For each light:
If it is green, 77% probability that the next is green.
If it is red, 77% probability that the next is red.
If the first light is green, what is the probability that the third light is red?
These following outcomes are desired, for the second and third lights:
G - R(0.77, then 1 - 0.77 = 0.23 probability)
R - R(0.23, then 0.77 probability).
So the desired probability is:
0.3542 = 35.42% probability that the third light is red
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<h2>Answer</h2>
After the dilation around the center of dilation (2, -2), our triangle will have coordinates:
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor . Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:
Now we can finally draw our triangle: