Response: $1,110.
Explanation:
Data Provided: Revenue from concession stand sales on game day = $5,550
That is to say, Gross income = $5,550
Event profit = $3,330
Thus, Net income = $3,330
Using the Net income formula:
Gross income - expenses = Net income
Therefore, Expenses = Gross income - Net income
Thus, Expenses = $5,550 - $3,330
Thus, Expenses total $1,110.
Answer: D. The equilibrium quantity would rise, while the effect on equilibrium price would be uncertain.
Explanation: The quantity of latte produced would escalate as the newly introduced machine decreases labor needs and enhances efficiency. Consequently, larger quantities of lattes will be generated in shorter durations. Similar effects would occur if it is found that the coffee used in making lattes prevents heart attacks.
In both scenarios, the quantity at equilibrium grows. However, the equilibrium price's impact is less clear, as the revelation that coffee helps prevent heart conditions could lead to higher latte prices since suppliers would want to benefit from this knowledge, whereas the introduction of machines may cause prices to drop because of increased production scale.
The value that distinguishes the lowest 25% of data from the highest 75% is -0.00235. Previous concepts: Normal distribution, which describes a "probability distribution that is balanced around the mean, indicating that data close to the mean occur more frequently than those further away from it". The Z-score is "a statistical measurement relating a value to the mean of a set of values, in terms of its distance in standard deviations from the mean". To solve the problem, let X represent the variable of interest in a population; we know the distribution for X is given by:... We want to find a value a to satisfy the condition:... Both conditions here are equivalent. We can apply the Z-score again to find the value a. The figure shows that the z value meeting the condition with 0.25 of the area to the left and 0.75 to the right is z = -0.674. Therefore, P(Z < -0.674) = 0.25 and P(z > -0.674) = 0.75. We can use condition (b) previously to derive... We know the z value that satisfies the equation, so we can proceed to solve for a, which gives us... Thus, the value that separates the lower 25% of data from the upper 75% is -0.00235.
