Answer:
8. -3, 16
9. -3, 4.5
Step-by-step explanation:
See attached worksheet.
Answer:
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Step-by-step explanation:
A score of 85 would be 1 standard deviation from the mean, 74. Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean. This means that 100%-68% = 32% of the data is either higher or lower. 32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean. This means that 16% of the graduating seniors should have a score above 85%.
There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.
We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3
Overall, there are 10*9*8 = 90*8 = 720 different permutations
Answer: 720
Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer
Answer:
5-3x
Step-by-step explanation:
To expand this, we start with the distribution of -3 into the parentheses containing x+2
This leaves us with
11-3x-6
From here, simplifying involves combining like terms. The only like terms we have are the constant values 11 and -6
We combine them by subtracting 11-6 to get 5.
This leaves us with our answer,
11-6-3x
<u>5-3x</u>
An alternate way of writing this would be
<u>-3x+5</u>
But this would only be required if we were asked to express the answer in decreasing degree, so don't worry about that for now
