The limit of detection is usually calculated as 3 times the standard deviation of a blank or low-concentration measurement, divided by the slope of the calibration curve (or by the relationship between signal and concentration).
In this case, the standard deviation for low-concentration measurements is given and it has a value of 15 counts. Three times this value yields 45 counts.
The signal/concentration relationship (since there is no calibration curve) is (we have to subtract the value of the blank from the measurement):

The division of these values results in:

Please show work and explain Problems 16&17. Mass spectral measurements were made on 10 replicate low...