Answer:
- 0.25|h -1600| -400
- 1000
- 2200
Step-by-step explanation:
Once again, you can choose the correct equation by finding the one that gives d=0 for h=0. (Note that the problem statement requires the independent variable to be h, not x.)
Then you can use that equation to find h for d=-250:
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600|
600 = |h -1600|
This resolves to two equations:
- -600 = h -1600 . . . ⇒ . . . h = 1000
- 600 = h -1600 . . . ⇒ . . . h = 2200
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Or, you can realize the distance from the west end is 4 times the depth. At a depth of 250 ft, that distance is h=1000 ft. That is 600 ft from the center, so 1200 ft from the same depth on the other side of the crater, which is at h=2200 ft.
Problem 1
Answer: Closer to 1
Explanation:
There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.
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Problem 2
Answer: Closer to 0
Explanation:
The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50
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Problem 3
Answer: Closer to 0
Explanation:
We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50
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Problem 4
Answer: 48% chance; fairly likely
Explanation:
We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%
Answer:
a: 0.1%
b. No it does not
c. Probably for safety reasons
Step-by-step explanation:
for women: z = (55.9 - 63.9)/3.6 = -2.22
The p-value for z = -2.22 is 0.0132, so only 1.32% of women could walk through without bending
for men: z = (55.9 - 69.7)/3.6 = -3.83
The p-value for z = -3.83 is 0.001, so only 0.1% of men could walk through without bending
So the possible answer of the following questions are the following and i hope you would be satisfied with my answer and feel free to ask for more if you have question and further clarification:
#1.A. 120 minutes
#2.A. 96 minutes
#3.A. 1 over 3 minus 1 over x equals 1 over 5
#4.C. 12 minutes
#5.<span>B. 1 over 4 plus 1 over 3 equals 1 over x</span>
