Observe the following pattern and extend it to three more steps:
`6\ x\ 2-5\ =7`
`7\ x\ 3-12 =9`
`8\ x\ 4-21=11`
`9\ x\ 5-32\ =13`

Solve the following equations : 5(8x+3)=9(4x+7)

Observe the pattern in the following and fill in the blanks: 9\ x\ 9+7\ =88 98\ x\ 9+6=888 987\ x\ 9+\ =8888 9876\ x\ 9+4= dot 98765\ x\ 9+3= dot 987654\ x\ 9+2= 9876543\ x\ 9+1=

A random variable X has the following probability distribution: Values of X :0\ 1\ \ 2\ 3\ \ 4\ 5\ \ 6\ \ 7\ 8 P(x): a\ 3a\ 5a\ 7a\ \ 9a\ 11 a\ 13 a\ 15 a\ 17 a Determine: The value of a

Study the following pattern: 1\ x\ 1+2\ x\ 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\ \ (2\ x\ 3\ x\ 5)/6 1\ x\ 1+2\ x\ 2+3\ x\ 3\ \ \ \ \ \ \ \ \ \ \ =\ (3\ x\ 4\ x\ 7)/6 1\ x\ 1+2\ x\ 2+3\ x\ 3+4\ x\ 4=(4\ x\ 5\ x\ 9)/6 By observing the above pattern, write next two steps.

Solve each of the following equations and also check your result in each case: 6. 5 x+(19. 5 x-32. 5)/2=6. 5 x+13+((13 x-26)/2) (3x-8)(3x+2)-\ (4x-11)\ (2x+1)=(x-3)x+7) [(2x+3)+(x+5)]^2+[(2x+3)-(x+5)]^2=10 x^2+92

For what value of x in R the following expressions are negative i) x^(2) - 5x - 6 ii) -7x^(2) + 8x - 9

Find the missing frequency for the following distribution whose mean is 7.68 3 5 7 9 11 13 6 8 15 8 4

Calculate Karl Pearson's coefficient of correlation between x and y for the following data and interpret the result: (1, 6), (2, 5), (3, 7), (4, 9), (5, 8), (6, 10), (7, 11), (8, 13), (9, 12).

Solve the following equations : 6(6x-5)-5(7x-8)=12(4-x)+1

The range of the following set of observations 2,3,5,9, 8, 7, 6, 5, 7, 4, 3 is