The distribution of the amount of money spent by first-time gamblers at a major casino in las vegas is approximately normal in shape with a mean of 600 a n d a s t a n d a r d d e v i a t i o n o f 120. according to the standard deviation rule, almost 84% of gamblers spent more than what amount of money at this casino?

Solution: We are given:

We need to find the z value corresponding to probability 0.84, in order to find the how much money almost 84% of gamblers spent at casino.

Using the standard normal table, we have:

Now we will use the z score formula to find the required amount:

approximately

Therefore, almost 84% of gamblers spent more than $720 amount of money at this casino.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4