<span>Let the larger number be x.
</span><span>A number, y, is equal to the difference of a larger number and 3.
y = x - 3
x - y = 3
</span>The same number is one-third of the sum of the large number and 9.
y = (1/3)(x + 9)
3y = x + 9
x - 3y = -9
The equations are:
x - y = 3
x - 3y = -9
Answer: 2.845
Step-by-step explanation:
The formula to find the standard deviation is given by :-
, where p is the probability of getting success in each trial and n is the sample size.
Given : Sample size : n=110
The proportion of employees older than 55 and considering retirement : p=0.08
Then, the standard deviation is given by :-

Hence, the standard deviation for the sampling distribution of the sample proportions is 2.845.
The score of 96 is 2 standard deviations above the mean score. Using the empirical rule for a normal distribution, the probability of a score above 96 is 0.0235.
Therefore the number of students scoring above 96 is given by:
$2.25x+$3.50=$35
so, $35-$3.50=$31.50
Then you divide $31.50 by $2.25
That equals 14
So, x=14