The mean is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the geometric mean (G.M.), is used in business and economics for finding average rates of change, average rates of growth, or average ratios. This mean is defined to be the nth root of the product of the numbers. For example, the geometric mean of the numbers 4, 5, and 6 is
Find the arithmetic and geometric means for the numbers 2, 4, 5, 7, 7, 8 and 11.Round your answers to the nearest hundredth, if necessary.
The arithmetic mean is__________The geometric mean is__________
What will be an ideal response?
6.29; 5.60
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Solve the problem.Consider the following simplified digital photograph that has a 3 × 3 grid with four gray levels numbered from 0 to 3. It shows a letter Y in black on a light gray background.
Let A be the 3 × 3 matrix that represents this figure digitally. Find the matrix which represents the entire picture becoming one shade lighter.
A. 
B. 
C. 
D. 
Find the sum of the first n terms of the sequence.10, -20, 40, . . . ; n = 9
A. - 3410 B. 10,230 C. 1710 D. - 341
Indicate whether the equation illustrates the multiplicative property of 0, the multiplicative identity, the commutative property of multiplication, the associative property of multiplication, or the distributive property.
? 0 = 0
A. Multiplicative property of 0 B. Distributive property C. Commutative property of multiplication D. Multiplicative identity
Solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 35 counselors and 10 aides B. 18 counselors and 12 aides C. 12 counselors and 18 aides D. 27 counselors and 18 aides