Matematika

Pertanyaan

jika 3/p = (1 - 1/5) (1 - 1/6) (1 - 1/7) (1 - 1/8) (1 - 1/9)(1 - 1/10), maka p=...

1 Jawaban

  • ≡ Penyelesaian:
    [tex]\Rightarrow \frac{3}{P}=(1-\frac{1}{5})(1-\frac{1}{6})(1-\frac{1}{7})(1-\frac{1}{8})(1-\frac{1}{9})(1-\frac{1}{10}) \\ \Rightarrow \frac{3}{P}=(\frac{5}{5}-\frac{1}{5})(\frac{6}{6}-\frac{1}{6})(\frac{7}{7}-\frac{1}{7})(\frac{8}{8}-\frac{1}{8})(\frac{9}{9}-\frac{1}{9})(\frac{10}{10}-\frac{10}{10}) \\ \Rightarrow \frac{3}{P}=(\frac{4}{5}).(\frac{5}{6}).(\frac{6}{7}).(\frac{7}{8}).(\frac{8}{9}).(\frac{9}{10}) \\ \Rightarrow \frac{3}{P}=\frac{4}{10} \\ \Rightarrow\boxed{P=\frac{30}{4}=\frac{15}{2}}[/tex]
    Gambar lampiran jawaban geraldabraham

Pertanyaan Lainnya