diff --git a/README.md b/README.md
index e9bd7a7b7..bf207f8a4 100644
--- a/README.md
+++ b/README.md
@@ -17,6 +17,7 @@ Usage
 Minimum required Rust version: 1.48.0
 
 Add this to your `Cargo.toml`:
+
 ```toml
 [dependencies]
 tempfile = "3"
diff --git a/src/util.rs b/src/util.rs
index 5e95e5fcc..98c3ee804 100644
--- a/src/util.rs
+++ b/src/util.rs
@@ -1,4 +1,3 @@
-use fastrand;
 use std::ffi::{OsStr, OsString};
 use std::path::{Path, PathBuf};
 use std::{io, iter::repeat_with};
diff --git a/tests/namedtempfile.rs b/tests/namedtempfile.rs
index cfdee337a..22ec6a4f0 100644
--- a/tests/namedtempfile.rs
+++ b/tests/namedtempfile.rs
@@ -87,7 +87,7 @@ fn test_persist_noclobber() {
 fn test_customnamed() {
     let tmpfile = Builder::new()
         .prefix("tmp")
-        .suffix(&".rs".to_string())
+        .suffix(&".rs")
         .rand_bytes(12)
         .tempfile()
         .unwrap();
@@ -100,9 +100,9 @@ fn test_customnamed() {
 #[test]
 fn test_append() {
     let mut tmpfile = Builder::new().append(true).tempfile().unwrap();
-    tmpfile.write(b"a").unwrap();
+    tmpfile.write_all(b"a").unwrap();
     tmpfile.seek(SeekFrom::Start(0)).unwrap();
-    tmpfile.write(b"b").unwrap();
+    tmpfile.write_all(b"b").unwrap();
 
     tmpfile.seek(SeekFrom::Start(0)).unwrap();
     let mut buf = vec![0u8; 1];
diff --git a/tests/tempdir.rs b/tests/tempdir.rs
index 746fe4738..de9723328 100644
--- a/tests/tempdir.rs
+++ b/tests/tempdir.rs
@@ -67,7 +67,7 @@ fn test_customnamed() {
 
 fn test_rm_tempdir() {
     let (tx, rx) = channel();
-    let f = move || -> () {
+    let f = move || {
         let tmp = t!(TempDir::new());
         tx.send(tmp.path().to_path_buf()).unwrap();
         panic!("panic to unwind past `tmp`");
@@ -78,7 +78,7 @@ fn test_rm_tempdir() {
 
     let tmp = t!(TempDir::new());
     let path = tmp.path().to_path_buf();
-    let f = move || -> () {
+    let f = move || {
         let _tmp = tmp;
         panic!("panic to unwind past `tmp`");
     };
@@ -107,7 +107,7 @@ fn test_rm_tempdir() {
 
 fn test_rm_tempdir_close() {
     let (tx, rx) = channel();
-    let f = move || -> () {
+    let f = move || {
         let tmp = t!(TempDir::new());
         tx.send(tmp.path().to_path_buf()).unwrap();
         t!(tmp.close());
@@ -119,7 +119,7 @@ fn test_rm_tempdir_close() {
 
     let tmp = t!(TempDir::new());
     let path = tmp.path().to_path_buf();
-    let f = move || -> () {
+    let f = move || {
         let tmp = tmp;
         t!(tmp.close());
         panic!("panic when unwinding past `tmp`");