What is the geometric mean of 8 and 18? What does the superscript before a radical mean? Explain why 2 / {square root 2} = square root 2? Show that 2^x = -x has at least one real root. When is square root of x^2 + y^2 equal to x+y?
The numbers 3, 5, and 7 together have a range of 4 and a mean of 5. What is the geometric mean for 9 and 41? Multiply the two numbers, then take the square root. For the geometric mean of 3 numbers, multiply all numbers, and take the cubic root, etc.Multiply the two numbers,...
If the ratio of H.M. and G.M. between two numbers a and b is 4:5, then find the ratio of the two number? View Solution If f(x)=x^(2)-(a+b)x+ab and A and H be the A.M. and H.M. between two quantities a and b, then ...
Mean:Mean is defined as the average of the observation. The formula for mean is given as Mean=Sum of observationNo. of observation Variance:Variance in statistics is defined as the measurement of the spread of the data in the dataset. It tells how far is the distance of each data point ...
The 16:9 format is a widescreen aspect ratio. Dating back to the 1980s, the widescreen 16:9 aspect ratio today is the international standard format of HDTV and the most common ratio for computer screens and TV sets.
It the sum of first 10 terms of an arithmetic progression with first term p and common difference q, is 4 times the sum of the first 5 terms, then what is the ratio p:q ? A1:2 B1:4 C2:1 D4:1Submit The eighth term of a geometric progression is 128 and common ratio is 2. Th...
Hamilton’s quaternion number system is a non-commutative extension of the complex numbers, consisting of numbers of the form where are real numbers, and are anti-commuting square roots of with , , . While they are non-commutative, they do keep many other properties of the complex numbers: ...
Our main result settles this conjecture in the “interior” region of the triangle: Theorem 1 (Singmaster’s conjecture in the interior of the triangle) If and is sufficiently large depending on , there are at most two solutions to (1) in the region and hence at most four in the reg...
The geometric mean uses a more complex formula. To calculate the geometric mean, multiply all values within a dataset. Then, take the root of the sum equal to the number of values within that dataset. To calculate the geometric mean of the values 4 and 9: Multiply 4x9 = 36 Take the s...
The geometric mean is the average of a set of products, the calculation of which is commonly used to determine the performance results of an investment or portfolio.