Hurry to win a state "a" lottery, one must correctly select 5 numbers from a collection of 50 numbers (one through 50). the order in which the selection is made does not matter. the neighboring state "b" has a lottery where one must correctly select 6 numbers from a collection of 60. which lottery would you rather play? support your choice with mathematical calculations.

To compute how many groups of elements we can extract out of a group of elements, we can use the binomial coefficient:

where the factorial is defined as

So, this is the number of possible quintuplet out of 50 numbers:

Similarly, this is the number of possible groups of six numbers out of 60:

So, you win with a combination out of 2118760 in state A, and with a combination every 50063860 in state B this means that winning in state A is easier with a ratio of

Whichi means that winning in state B is 23 times harder

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation:

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