Answer:
5 ≥ 9*.15 + x*.25
He can buy up to 14 candies
Step-by-step explanation:
Total money ≥number of peppermints * cost per peppermint + number of sour candies * cost per sour candy
We know he has 5 dollars. He bought 5 peppermints at $.15 cents each and x sour candies at $.25 each
Substituting in
5 ≥ 9*.15 + x*.25
5≥1.35 + .25x
Subtract 1.35 on each side
5-1.35 ≥ 1.35-1.35+.25x
3.65≥.25x
Divide by .25 on each side
3.65/.25 ≥ .25x/.25
14.6 ≥ x
He can buy up to 14 candies. You can't buy part of a candy
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>
Answer:
3/-8
Step-by-step explanation:
Slope= y2-y2/x2-x1
substitute in: 8-5/-7-1= 3/-8