From a bag containing 12 identical blue balls, y identical yellow balls, and no other balls, one ball will be removed at random. if the probability is less than 2/5 that the removed ball will be blue, what is the least number of yellow balls that must be in the bag?

There are y + 12 total balls in the bag. The probability of drawing a blue one is is 12/(y + 12), and the probability of drawing a yellow one is y/(y + 12). We're told that the probability of drawing a blue ball is less than 2/5, so

which tells us there must be at least 19 yellow balls in the bag.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).