Answer:
This, simplified would be 2x-10
You will need to add 3 to each side.
x^2-3=15
+3 +3
x^2=12
and go from there
<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.
In x^7•x^4, how many x’s are multiplied together? (There’s 7 in the first factor and 4 in the second.)
x^7•x^4 = x^__? This is your a-value.
Similarly, y^2•y^5 = y^__? How many y’s are there in total being multiplied? This is your b-value.
Answer: The data point 25 lies in the first quartile of the date
Step-by-step explanation: The data point 25 is not in the data set.