Bob Bluster, the KNEWS meteorologist, determined that the mathematical odds of $\emph{no rain}$ tomorrow are 11:9. What would a mathematics student determine as the percent chance there $\emph{will be rain}$ tomorrow? (If the odds of an event happening are $a:b$, then the probability that it occurs is $\frac{a}{a + b}$.)

45% chance there will be rain tomorrow.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

11:9 odds that there will be no rain

In 11+9 = 20 experiments, in 11 there will be no rain and 9 there will be rain.

Percent change there is rain:

Desired outcomes:

9 experiments(rain)

Total outcomes:

20 experiments

Probability

45% chance there will be rain tomorrow.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1