Answer: 500x + 700 > 120000
Step-by-step explanation:
Let x represent the number of castles he must conquer in order to break the record.
The site awards him 700 points for joining the game and another 500 points for every castle he conquers. This means that if he conquers x castles, the total number of points that he would have is
500x + 700
Greg needs to score more than 120,000 points to beat an online gaming site record. Therefore, the inequality that Greg could use to calculate the number of castles he must conquer in order to break the record is
500x + 700 > 120000
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Answer: If you want me to simplify, the answer is -4y - 7.
Step-by-step explanation: Just add the like terms (-4 and -3) to get -7. Then you have the y, which gives you -4y - 7.
Using a calculator with the binompdf and binomcdf features, I can calculate these values. My calculator is a TI-83 plus, and the features are found under the 2nd, Vars keys (Scroll up or down until you see them).
If "exactly" is to be found, use binompdf:
binompdf(number of trials, probability of success, exactly number)
ANSWER for exactly 3: binompdf(8, 0.5, 3) = 0.21875 = 21.875%
If "at least" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at least number - 1)
ANSWER for at least 6: binomcdf(8, 1/2, 5) ≈ 0.8555 ≈ 85.55%
If "at most" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at most number)
ANSWER for at most 3: binomcdf(8, 0.5, 3) ≈ 0.3633 ≈ 36.33%