Each statement represents a scenario in which a linear transformation has occurred. Which is(are) the correct statements regarding the standard deviation of the variables after the lineartransformation.

1. A malfunctioning machine produces a particular part with a mean length of30inand a standard deviation of1in. If a second part with a consistent length of2in is added to the end of the first part, then the standard deviation of the total part lengths will be equal to3in.
2. For a given set of daily calorie intake data, the mean number of calories a person intakes per day is2000cal, and the standard deviation is300cal. If these daily results are translated to weekly calorie intake results, the standard deviation of the total number of calories for a week remains unchanged from the standard deviation of300cal.
3. The standard deviation of scores for a particular exam is equal to10. If the teacher decides to add5 points to each student's grade, the standard deviation of the new exam scores will remain equalto10.
4. Prices on a menu at a particular restaurant have a mean cost of$10 and a standard deviation of$4. If the restaurant decides to raise its prices by50%, then the standard deviation of the new prices will be$6.
5. The standard deviation in lengths of a particular earthworm is10cm. When these lengths in centimeters are converted to millimeters, the standard deviation of earthworm lengths will be equal to100mm.