Answer:
x=5.1
Step-by-step explanation:
5x-9+2-4=9.4
5x=9.4+4-2+9
5x=20.4
x=5.1
The 68 - 95 - 99.7 rule, gives the basis to solve this question.
It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.
Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches
mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches
mean + 2 standard deviations = 64.5 inches + 5 inches = 69.5 inches
Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.
ANSWER
See attachment
EXPLANATION
The given inequality is
This implies that,
Multiply both sides of the second inequality by -1 and reverse the inequality sign.
The graphical solution to this inequality is shown in the attachment.