When carpet is manufactured, small faults occur at random. The number of faults in Premium carpets can be modelled by a Poisson distribution with mean 0.5 faults per 20 m 2 . Mr Jones chooses Premium carpets to replace the carpets in his office building. The office building has 10 rooms, each with the area of 80 m 2 . (a) Find the probability that the carpet laid in the first room has fewer than three faults. (b) Find the probability that exactly seven rooms will have fewer than three faults in the carpet.

The revenue generated by a bakery over x months, in thousands of dollars, is given by the function f(x) = 2(1.2)* the cost of running the bakery forx months, in thousands of dollars, is given by the function g(x) = 2x + 1.4determine the equation for h if h(x) = f(x) - g(x).oa. m(x) = (1-2)*-x-07b.(x) = 2(1 2 - 2x -0.7)h(x) = -2((1.2) + x + 0.7)d.h(x) = 2((12) - x-0.7)

The sum of two numbers is 58. the first number is 8 less than half the second number. let  c  represent the first number. let  drepresent the second number. which statements about solving for the two numbers are true? check all that apply.the equation    represents the sum of the two numbers.the equation    represents the sentence “the first number is 8 less than half the second number.”the equation    represents the relationship between the two numbers.the equation    represents the sum of the two numbers.the number  d  is 14.the number  c  is 44.the number  c  is 14.the number  d  is 44.

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line