Basically, unit rates are special ratios with two different terms with two different units.
1. 3 inches of rain in 6 hours
Answer: 3 inches:6 hours
2. 70 miles in 2 hours
Answer: 70 miles:2 hours.
It's easy!
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge




Fast Ball Challenge




Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches

Where
--- pitches
--- all hits
--- probability of hit
So, we have:




Using a calculator:
--- This is the probability that he wins
i.e.

The probability that he lose is:
---- Complement rule


The expected value is then calculated as:


Using a calculator, we have:
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches

Where
--- pitches
--- all hits
--- probability of hit
So, we have:



Using a calculator:
--- This is the probability that he wins
i.e.

The probability that he lose is:
---- Complement rule


The expected value is then calculated as:


Using a calculator, we have:

So, we have:
-- Slow ball
--- Fast ball
<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>
80/100 x 30 = 24 because you just multiply percents
Answer:
20
Step-by-step explanation:
Technically cats only have one life even though they can survive falls and such
Answer:
The answer is -x+12/ x (x-2)
Step-by-step explanation: