Answer:
x > -1
Step-by-step explanation:
Answer: the interval of heights that represents the middle 95% of male heights from this school is between 66 inches and 76 inches.
Step-by-step explanation:
Let x be a random variable representing the heights of males from this school. With the mean and standard deviation given, then the Empirical Rule says the that
1) About 68% of the x values lie between 1 standard deviation below and above the mean.
2) About 95% of the x values lie between 2 standard deviations below and above the mean.
3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.
From the information given,
mean = 71 inches
Standard deviation = 2.5 inches
We want to determine where 95% of x values lies. This is 2 standard deviations from the mean Therefore,
2 standard deviations = 2 × 2.5 = 5 inches
The heights are
71 - 5 = 66 inches and
71 + 5 = 76 inches
First distribute the -4 and 3, then combine like terms
1) Turn -2x to a sum or difference
- x2 + 4x - 6x -24
2) Factor out the x
- x(x + 4) - 6x -24
3) Factor out the 6
- x(x + 4) - 6(x + 4)
4) Factor out x + 4
- (x + 4)(x - 6)
FINAL ANSWER
(x + 4)(x - 6)
