Anumber is selected at random from the set (1,2,3,4,5,6,7,8,9,10). let 'a' be the event that a number greater than 6 is selected and 'b' be the event that a 'square' is selected.
a) list the sample space.
b) list the events a and b
c) list a 'u' b
d) find pr (a)
e) find pr (a 'u' b)
me pleae.

Step-by-step explanation:

a) sample space = 10

I.e the total number of possible outcomes

b) A = {7,8,9,10 }

B = {4,9

c) A U B = {4,7,8,9,10}

d) pr (A) = no of events in A÷ total sample space

pr (A) = 4/10

=2/10

e) pr( A U B) = 5/ 10

= ½

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

the answer is:

mean: 6

mad: 2.14