The ping -c 1 192.168.47.44 command sends one ICMP echo request to the specified host to check its availability. If the host is down, there will be no response. This is the quickest way to confirm if a host is reachable. nmap -Pn can also be used to check a host status, but ping is faster and lighter.

The oom-killer was invoked because the system ran out of memory, and as a result, it killed the mysqld process to free memory. This is a clear indication that the server did not have enough physical memory to run the MariaDB service, leading to the process being terminated.

The administrator should use the command df -i /oracle1 to diagnose the issue of users being unable to write data to the /oracle1 directory. This command will show the inode usage of the /oracle1 filesystem, which indicates how many files and directories can be created on it. If the inode usage is 100%, it means that no more files or directories can be added, even if there is still free space on the disk. The administrator can then delete some unnecessary files or directories, or increase the inode limit of the filesystem, to resolve the issue.
The other options are not correct commands for diagnosing this issue. The fdisk -l /dev/sdb1 command will show the partition table of /dev/sdb1, which is not relevant to the inode usage. The lsblk /dev/sdb1 command will show information about /dev/sdb1 as a block device, such as its size, mount point, and type, but not its inode usage. The du -sh /oracle1 command will show the disk usage of /oracle1 in human-readable format, but not its inode usage. References: CompTIA Linux+ (XK0-005) Certification Study Guide, Chapter 7:
Managing Disk Storage; How to Check Inode Usage in Linux - Fedingo

The command tail -n 20 will display the last 20 lines of a file. The -n option specifies the number of lines to show. This is the correct command to execute the task. The other options are incorrect because they either use the wrong options (-v, -c, or -l) or have the wrong arguments (20 instead of 20 filename). References: CompTIA Linux+ (XK0-005) Certification Study Guide, Chapter 11: Managing Files and Directories, page 352.

The free -h command can be used to check the amount of free and used memory in the system in a human- readable format. This can help to troubleshoot the issue of mysqld being killed due to out of memory. The vmstat -a 1 4 command can be used to monitor the system's virtual memory statistics, such as swap usage, paging activity, and memory faults, every one second for four times. This can help to identify any memory pressure or performance issues that may cause out of memory errors. The nc -v 127.0.0.1 3306 command would attempt to connect to the MySQL server on port 3306 and display any diagnostic messages, but this would not help to troubleshoot the memory issue. The renice -15 $( pidof mysql ) command would change the priority of the mysql process to -15, but this would not prevent it from being killed due to out of memory. The lsblk command would display information about block devices, not memory usage. The killall -15 command would send a SIGTERM signal to all processes with a matching name, but this would not help to troubleshoot the memory issue. References: [CompTIA Linux+ (XK0-005) Certification Study Guide], Chapter 15:
Managing Memory and Process Execution, pages 468-469.