Which number is located between 15 and 20 on the number line
2 answers:
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Answer:
Consider the complete question is,
'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,
- Determine the probability that Frank will win the contest,
- Determine the probability that Frank will not win the contest'
Solution :
We know that,
Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.
We have,
So, total outcomes = 2 + 9 = 11,
Thus, the probability that Frank will win the contest =
And,
The probability that Frank will win the contest =
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.
Let x be the number of $2 increases in price, then the revenue from renting cars is given by
.
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>
For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>
The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>
Let x be the number of $2 increases in price, then the revenue from renting cars is given by
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>
For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>
The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>
Answer:
39.25 cubic feet of paint will be needed by Ellis.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder of radius r and height h is given by:
How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?
This is the combined volume of these 10 fenceposts.
They are each 5 feet tall and have a diameter of 1 foot.
Radius is half the diameter, so . Also
10 fenceposts:
Each has the same volume, so:
39.25 cubic feet of paint will be needed by Ellis.