Lamar wants to determine the movie preferences

                         Dramas              Comedies

Males                   9                             31

Females             36                            24

Step-by-step explanation:

It is given that Lamar surveyed 40 males and 60 females about whether they prefer dramas or comedies.

Total males = 40

Total females = 60

Total people surveyed = 40 + 60 = 100

It is given that 55% of surveyed people preferred comedies.

People preferred comedies =

It is given that males who preferred comedies = 31

Males who preferred drama is the difference of number of males and males who preferred comedies.

Males, drama = 40 - 31 = 9

Females who preferred comedies is the difference of people who preferred comedies and males who preferred comedies.

Females, comedies = 55 - 31 = 24

Females who preferred drama is the difference of number of females and females who preferred comedies.

Females, drama = 60 - 24 = 36

Therefore the table can be filled as

                         Dramas              Comedies

Males                   9                             31

Females             36                            24

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.