A taste test asks people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results.
Brand A
Brand B
Total
Texas
80
45
125
California
96
54
150
Total
176
99
275
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why of
why not?
A. No, they are not independent because P(California) = 0.55 and
P(California|brand B) = 0.36.
B. No, they are not independent because P(California) = 0.55 and
P(Californialbrand B) = 0.55.
C. Yes, they are independent because P(California) = 0.55 and
P(California brand B) = 0.55.
O D. Yes, they are independent because PCalifornia) = 0.55 andy
P(California brand B) = 0.36.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

can i see a photo of the question so i can you?