A theater is showing 2 comedies, 1 musical, and 5 action films. Each movie has 3 matinee showtimes and 7 evening performances. Each type of movie and showtime is equally likely to be chosen. If 12,400 people see a movie, how many will be expected to choose a musical during an evening showtime? A 1,085 C 1,240 B 1,189 D 1,550

1550

Step-by-step explanation:

Number of people to see the movie = 12400

Number of comedies = 2

Number of musical = 1

Number of action films = 5

The number of people that'll be be expected to choose a musical during an evening showtime will be:

= 1/8 × 12400

= 1550

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)