Consider an even money game that pays 12: 7 if event a occurs. what is the probability of event a? a. 7/12 b. 12/19 c. 5/12 d. 7/19

OPTION D:  

Step-by-step explanation:

If the game pays 12 : 7 if Event A occurs that is odds in favor of A.

That means that A can occur in 7 out of (7 + 12 ) ways.

Hence, the probability of A occurring will be ways.

= ways.

Hence, OPTION D is the answer.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.