Pb(s) + KNO3(aq) ----> No reaction

HNO3(aq) + Sr(OH)2(aq) ----> H2O + Sr(NO3)2

NO3 being Nitrate, and (OH)2 meaning 2 Oxygen and 2 Hydrogen atoms in the second problem. The second two in the products of the second problem is a subscript for NO3.

Are these correct? Thank you!

First one is correct.

Second one is correct for the products and the reaction but it isn't balanced.

Yes, your interpretations of the chemical equations are correct.

In the first equation, Pb(s) represents solid lead, and KNO3(aq) represents an aqueous solution of potassium nitrate. The arrow pointing to the right (∆) indicates the direction of the reaction. Since there is no reaction observed or any changes in the substances, the equation states that there is "No reaction" between solid lead and potassium nitrate.

In the second equation, HNO3(aq) represents an aqueous solution of nitric acid, and Sr(OH)2(aq) represents an aqueous solution of strontium hydroxide. The arrow pointing to the right (∆) indicates the direction of the reaction. The equation indicates that when nitric acid reacts with strontium hydroxide, it forms water (H2O) and strontium nitrate (Sr(NO3)2). The subscript two (2) in (OH)2 represents two OH groups in the strontium hydroxide molecule.

Overall, your understanding of the equations seems to be correct. If you have any more questions or need further clarification, feel free to ask.