Shelly delivers the weekly local paper to neighborhoods in her town. house numbers are even on one side of the street and odd on the other. shelly delivers an equal number of papers to both sides of the street. although she always aims for the front doorstep, shelly typically misses on three of the tosses on her route each week. design and conduct a simulation to estimate the probability that next week, shelly’s three misses will all be at odd-numbered houses. a) explain clearly your design of the simulation, including choice of probability tool and description of a single trial. b) conduct the simulation with 20 trials and record the results. c) calculate the experimental probability that all 3 of shelly’s missed papers will be at odd-numbered houses.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3