answer:To convert a temperature from degrees Celsius (°C) to Kelvin (K), you should add 273.15 to the Celsius temperature. Here's the calculation for converting -16°C to Kelvin: {eq}rm T_K = T_C + 273.15 T_K = -16 ^oC + 273.15 boxed{rm T_K = 257.15 K} {/eq} Thus, -16 degrees Celsius is equivalent to 257.15 Kelvin.

answer:Yes, other equations representing a circle with radius 1 and center at the origin include: * Parametric equations: x = cos(t), y = sin(t), where t is a parameter that varies from 0 to 2π. * Trigonometric equation: sin(arccos(x)) = sqrt(1 - x^2), which represents the upper semicircle. * Cartesian equation using right triangles: x = -sqrt(1 - y^2), which represents the left semicircle.

answer:To find the sample variance, we use the formula: [ s^2 = frac{sum_{i=1}^{n}(x_i - mu)^2}{n-1} ] where ( s^2 ) is the sample variance, ( x_i ) are the individual data points, ( mu ) is the sample mean, and ( n ) is the number of data points. First, let's find the sample mean ( mu ): [ mu = frac{15 + 5 + 2 + 7 - 10 - 2}{6} = frac{17}{6} ] Now, calculate the squared differences from the mean: [ (15 - frac{17}{6})^2 = left(frac{73}{6}right)^2 = frac{5329}{36} ] [ (5 - frac{17}{6})^2 = left(frac{13}{6}right)^2 = frac{169}{36} ] [ (2 - frac{17}{6})^2 = left(-frac{5}{6}right)^2 = frac{25}{36} ] [ (7 - frac{17}{6})^2 = left(frac{25}{6}right)^2 = frac{625}{36} ] [ (-10 - frac{17}{6})^2 = left(-frac{77}{6}right)^2 = frac{5929}{36} ] [ (-2 - frac{17}{6})^2 = left(-frac{29}{6}right)^2 = frac{841}{36} ] Next, sum these squared differences: [ sum_{i=1}^{6}(x_i - mu)^2 = frac{5329}{36} + frac{169}{36} + frac{25}{36} + frac{625}{36} + frac{5929}{36} + frac{841}{36} = frac{2153}{6} ] Finally, calculate the sample variance: [ s^2 = frac{frac{2153}{6}}{6-1} = frac{frac{2153}{6}}{5} = frac{2153}{30} ] So the sample variance is ( frac{2153}{30} ).

answer:The phrase "Shikata ga nai" is a Japanese expression that means "It cannot be helped" or "There is nothing that can be done." It is often used to express resignation or acceptance in the face of difficult circumstances. In the context of the question, it is likely that some older Japanese people use this phrase to express their stoicism and resilience in the face of adversity. D. "Shikata ga nai"