Answer:
Step-by-step explanation:
The supplement of 105 = 180 - 105 = 75
The supplement of 148 = 180 -148 = 32
x is the sum of these two angles
x = 32 + 75
x = 107
Exterior angles are the sum of the 2 angles not connect to the exterior angle you are trying to find.
Answer:
43
Step-by-step explanation:
This is an example of observational study, because the biologist is not interfering or interacting with the subjects of study but just watching and registering data (recording with cameras).
The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).
Answer: observational study
<h3>
Answer: 9</h3>
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Explanation:
You're on the right track. The 15 C 9 refers to the nCr combination formula which is built into the binomial probability.
The 0.75^9 is also correct
The 0.15^(15-7) portion is not correct. That 0.15 should be 0.25 so it adds to 0.75 to get 1.00 or just 1
Also, the (15-7) portion should be (15-9)
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So here's how the steps should look
B(x) = probability of getting a certain x value in a binomial distribution
B(x) = (nCx)*(p)^(x)*(1-p)^(n-x)
B(9) = (15C9)*(0.75)^(9)*(1-0.75)^(15-9)
B(9) = 5005*(0.75)^(9)*(0.25)^(6)
B(9) = 0.09174776729197
B(9) = 0.0917
The probability of getting exactly 9 flights on time is roughly 0.0917
This applies to one trial.
In 100 trials, we expect about 100*0.0917 = 9.17 = 9 flights to be on time.
It's a coincidence that we get a final answer of 9 which matches with the other 9 mentioned in the instructions. This won't always be the case.
