Which of the following expressions represents the simplified version of the expression below? (5x³y² – 3xy + 2) + (2x³y² – 3x²y² + 4xy – 7)

7x³y² - 3x²y² + xy - 5
7x³y² – 6x²y² + 4xy - 5
3x³y² + 3x²y² – 7xy + 9
7x⁶y⁴ – 2x⁴y⁴ - 5​

The product of sin 30 degrees and sin 60 degrees is same as the product of

The ratio of the height of two similar cylinders is 4 to 3 what is the ratio of their volumes

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).