Answer: 11.9%
Step-by-step explanation:
Given : On a stretch of Interstate-89, car speed is a normally distributed variable with 
mph and 
mph.
Let x be a random variable that represents the car speed.
Since , 
z-score corresponds x = 73 , 
Required probability :
[using z-value table.]
Hence, the approximate percentage of cars are traveling faster than you = 11.9%
Let us find the co ordinates of each vertex of the triangle .
Vertex A ( in firs second quadrant) = ( -5 ,3)
vertex B in third quadrant = ( -5, -5)
vertex C in fourth quadrant = ( 4, -2)
let us use distance formula AB^2 = ( -5 - 3)^2 + (-5 - -5 )^2 = 64 + 0
AB= 8
BC^2 = ( -2 - -5 )^2 + ( 4 - - 5)^2 = 9 + 81 = 90
BC = 9.48
AC^2 = ( -2 -3)^2 +( 4- -5)^2 = 25 + 81 = 106
AC= 10.29
Perimeter = sum of length of AB+ BC+ Ac = 8 + 10.29 + 9.48= 22.77
Answer:
Option (1)
Step-by-step explanation:
Given question is incomplete; find the picture of the graph in the attachment.
Parent function f(x) = 
When function 'f' is translated by 4 units up which is evident form the graph, the translated function obtained is,
g(x) = f(x) + 4
g(x) = 
Therefore, Option (1). [Translation of 4 units up] is defined by the graph attached.
Answer:
5 hours
Step-by-step explanation:
127 - 35 = 92
92 / 23 = 4
4 + 1 = 5
Answer:
196 tickets
Step-by-step explanation:
The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:
5x ≥ 980
Dividing through by 5:
x ≥ 980
x ≥ 980/5
x ≥ 196
Therefore the producer must sell at least 196 tickets so as to make a profit
