In an attempt to avoid having to do laundry often, marcus comes up with a system. he owns 10 shirts that are stored in his dresser. every night, he designates his dirtiest shirt and throws it on his chair. in the morning, he randomly picks one of his shirts to wear (the ones in the dresser and the one on the chair). if he picked up the dirtiest one, he puts it in the dirty pile at the end of the day, and designates one of his remaining shirts as the current dirtiest one. he does his laundry once he’s out of shirts.(a) what is the expected number of days it takes for him to do his laundry? (b)say he gets even lazier, and instead of organizing his shirts as he had planned, on each day he throws his shirts randomly into one of 10 different locations in his room (one shirt per location). each day, he designates one of his shirts as his dirtiest shirt and one location as the dirtiest location. in the morning, if he happens to pick the dirtiest shirt, and the dirtiest shirt was in the dirtiest location, then he puts the shirt into the dirty pile and does not use that location anymore (it is too dirty now). what is the expected number of days for him to do his laundry now?

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180