Answer:
The conditions for creating a confidence interval for the population proportion have been met.
Explanation:
There are the following conditions to build a confidence interval for a population proportion:
Sample of size n from a large population
Individuals chosen independent of one another
At least 15 failures and 15 sucesses in the sample.
In this problem, we have that:
Sample of 100 people
They are chosen at random at the market, so it means that the probability that an individual likes the new design is independent of any other individuals.
82 successes and 18 failures.
So yes, the conditions for creating a confidence interval for the population proportion have been met.
The federal reserve is the central bank of the United States of America. It is considered as an independent bank because it does not need permission from the President to make transactions. Moreover, it does not benefit from the Congress' budget. The federal reserve only gives emergency loans to commercial banks during times of crisis to prevent bankruptcy.
To start their own business, usually this supports their local economy however still depending on their success.
<span> making on time payments on a debt
</span><span> purchasing a large kitchen appliance with cash
</span><span> saving 25% of every paycheck</span>
Answer:
(a) C(x) = 9500 + 55x
(b) R(x) = 90x
(c) P(x) = 35x - 9500
(d) C(240) = $22,700
All functions are measured in $.
Explanation:
The total revenue of an entity is a function of the number of units sold and the selling price per unit. The total cost is a function of the fixed cost and the variable cost (which is also a function of the units produced/sold). Profit is a function of sales and cost.
Given that monthly;
fixed costs = $9500
variable costs = $55 per unit
Selling price = $90 per unit
Where x is the number of units
total costs C(x) in $ = 9500 + 55x
total revenue R(x) in $ = 90x
profit P(x) in $ = 90x - (9500 + 55x)
= 35x - 9500
C(240) = 9500 + 55(240)
= $22,700
