Daily sales of theatre tickets at your cinema depend on the weather. probability sales Warm .50 $800 Cold .20 $1200 Rainy .20 $1600 Snowy .10 $1000 a. Calculate the expected daily sales. b. Calculate the variance of daily sales. c. Calculate the standard deviation of daily sales.

1060 ; 96400 ; 310.48

Step-by-step explanation:

Given that:

P(X): __0.50 ___0.20 0.20 0.10

X : ___800 ___ 1200 1600 1000

The expected sales (m) : Σ(p * p(x))

(0.50 * 800) + (0.20 * 1200) + (0.20 * 1600) + ( 0.10 * 1000) = 1060

B.) variance (Var X) :

Σx²p - m²

(800^2*0.50) + (1200^2 * 0.20) + (1600^2 * 0.20) + (1000^2 * 0.10)] - m²

1220000 - 1060^2

= 96,400

Standard deviation = √variance

= √96400

= 310.48

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18