Scratchpad
A hat contains 3 blue and 5 black tickets,
If one ticket is chosen at random from the hat, what is the probability that it is blue?

50 % probability that the hat is blue.

Step-by-step explanation:

3 blue and 3 black = 6 total tickets

3/6 chance of blue and 3/6 change of it being black

3/6 = 1/2 = 0.5 = 50%

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950