Igor spent 30 minutes doing laundry and then washed pots and pans that each took 3 minutes to clean. What is the equation that can be used to find the value of y, the total time that Igor spent on chores, and what are the constraints on the values of x and y? a) y=30x+3; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 30.

b) y=30x +3; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 30.

c) y=3x+30; y is any integer greater than or equal to 0, and x is an integer greater than or equal to 30.

d) y=3x+30; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 30.

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

There are 45 questions on your math exam. you answered 810 of them correctly. how many questions did you answer correctly?

Aladder that is 20ft long is leaning against the side of a building. if the angle formed between the ladder and the ground is 75 degrees how far is the bottom of the from the base of the building?