1) cos 43° 2) cos 7° 3) cos 53° 4) None of these Answer: (4) None of these Solution: (1/4) [√3 cos 23° - sin 23°] = (1/2)[(√3/2) cos 23° -... View Article
1) 2 sin α sin β sin γ 2) 4 sin α sin β sin γ 3) sin α sin β sin γ 4) None of these Answer: (4) None of these Solution: sin(β +... View Article
Solution: The Central Limit Theorem is the sampling distribution of the sampling means approaches a normal distribution, if the sample size is... View Article
Solution: Since the distributions for small samples are not normal, a t-test is necessary for small samples (size n<30). The t-test is the... View Article
Solution: The z-test is best used for greater-than-30 samples. Also Read: What is z Score? Register with BYJU’S – The Learning App and also... View Article
Solution: Statistical significance is a way of Mathematically proving that a certain statistic is reliable. Statistical hypothesis testing is... View Article
Solution: Mean to describe the sample with a single value that represents the center of the data. The standard deviation (abbreviated to SD) is... View Article
Solution: A sample distribution is a probability distribution of a statistic over many random samples from a particular population. There are... View Article
Solution: The logarithm of a negative number in base 10 is turned to complex numbers. To solve such equations we have to make use of Euler’s... View Article
Solution: The demand curve is a rectangular hyperbola, it shows that elasticity of demand is equal to unity at all points of demand curve.... View Article
Solution: The definition of even and odd functions: Even function: A function, f(x) is even if f(x) = f(-x) Odd Function: A function, f(x) is... View Article
Solution: The general equation of parabola is y = ax2 + bx + c …(1) Let (x1, y1), (x2, y2) and (x3, y3) are the 3 points that lie on the... View Article
Solution: Molar mass for HCL = 36.4611 g/mol The volume will be in 1 litre. HCL specific gravity is 1.189. Now, Grams of compound required =... View Article
Solution: Oxidation state of scandium is +3. Scandium does not show +2 oxidation state as it requires high energy for removing one more... View Article
Solution: Scandium shows +3 oxidation state as it can form a +3 ion to achieve a noble gas configuration. The 3+ state is strongly favored for... View Article
Solution: Similarity: 1s and 2s orbitals occupied 2 electrons each and are spherical in nature. Difference: 1s and 2s orbitals belong to... View Article
Solution: Linear functions are usually represented as y = mx + b where m is the slope and b is the y intercept. The graph of linear functions is... View Article