The mean height of women in a country (ages \( 20-29 \) ) is 64.4 inches. A random sample of 55 wormen in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume \( \sigma=2.88 \). The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.)

\( \frac{6}{e^{+\infty }} \)

The functions \( f \) and \( g \) are defined as follows. \[ f(x)=-2 x^{3}-5 \quad g(x)=2 x+4 \] Find \( f(-3) \) and \( g(-5) \). Simplify your answers as much as possible. \( f(-3)=\square \) \( g(-5)=\square \)

4. Diketahui kubus ABCD.EFGH dengan panjang rusuk 2 cm . Titik M adalah titik potong garis \( A C \) dan garis BD. Jarak antara titik H dan titik M adalah ..... \( \sqrt{ } 2 \mathrm{~cm} \) \( \sqrt{ } 3 \mathrm{~cm} \) \( 2 \sqrt{2} \mathrm{~cm} \)

4. Diketahui kubus ABCD.EFGH dengan panjang rusuk 2 cm . Titik M adalah titik potong garis AC dan garis BD. Jarak antara titik H dan titik M adalah ..... \( \sqrt{2} \mathrm{~cm} \) \( \sqrt{ } 3 \mathrm{~cm} \) \( 2 \sqrt{2} \mathrm{~cm} \)

\( f(x)=\times ^{-2} \)