Answer:
Step-by-step explanation:
If, collectively, 15 people weigh more than 3500 pounds, that means each person must weigh more than 3500/15 = 233.33 pounds.
If the distribution for population weights is normal at mean = 180 and standard deviation = 25 lbs, that means the probability for 1 person to weigh higher than 233 lbs is
For all 15 people to have higher weigh than that then the probability is
This is indeed very unlikely to happen
Answer:
Step-by-step explanation:
So we have the expression:
For both the numerator and the denominator, factor out a 5:
The term in the numerator can be factored. This is the difference of two squares pattern:
Both layers have a 5(x+2). Cancel them, Since we know that x <em>cannot</em> be -2, we can safely do so:
And we're done!
Notes:
If we weren't told that x ≠ -2, then we cannot divide them because if x <em>did</em> equal -2, the equation would be undefined. However, since we were given that, we can simplify.
However, even if we weren't given x ≠ -2, we can <em>still</em> simplify, but we need to add the restraint ourselves. This must be done, or else the equation won't be correct.