In this activity, you will find the sample space for a probability problem. then you’ll find the number of times an event occurs and determine the probability of the event as a fraction. maddie, paige, and odelia are sisters. they draw names out of a hat to decide who does the household chores each day of the week. part adetermine the sample space for completing three days of chores. use the abbreviation m for maddie, p for paige, and o for odelia and create a list of all the possible outcomes.

For the each of 3 days we have three choices so 3×3×3=27 possibilities. We count from 0 to 26 in base 3 using digits MOP. MOM and POP are among the possible outcomes. One of the words thinks is inappropriate. Here's the list:

MMM

MMO

MMP

MOM

MOO

MOP

MPM

MPO

MPP

OMM

OMO

OMP

OOM

OOO

OOP

OPM

OPO

OPP

PMM

PMO

PMP

POM

PO O

POP

PPM

PPO

PPP

For the each of 3 days we have three choices so 3×3×3=27 possibilities. We count from 0 to 26 in base 3 using digits MOP. MOM and POP are among the possible outcomes. One of the words thinks is inappropriate. Here's the list:

MMM

MMO

MMP

MOM

MOO

MOP

MPM

MPO

MPP

OMM

OMO

OMP

OOM

OOO

OOP

OPM

OPO

OPP

PMM

PMO

PMP

POM

PO O

POP

PPM

PPO

PPP

Step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.