Step-by-step explanation:
The mean is 27 and the standard deviation is 4.
23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean. According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.
68% of 1200 is 816.
19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean. According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.
95% of 1200 is 1140.
To find the inverse of a function, you swap the x and y values. So instead of y=4x+8, it becomes x=4y+8. Now you re-solve for y, and that’s your answer:
x=4y+8
x-8=4y
1/4x-2=y
So h(x)=1/4x-2, or the first option
5 3/5 because you multiply the top number by 7
