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ElenaW [278]
2 years ago
12

Bob owns a roadside stand that sells rhubarb pie. Bob likes to experiment with various pricing strategies in order to determine

the most efficient way to run his business. The table below depicts some recent price changes and responses by consumers. Graphically illustrate the appropriate demand and supply curves and where the shortages, surplus and market equilibrium price were found. Price Changes and Responses by Consumers Price Quantity Demanded Quantity Supplied $4.89 311 255 $4.29 388 214 $5.39 198 309 $5.19 268 300 $5.00 279 279
Mathematics
1 answer:
balu736 [363]2 years ago
6 0
First, plot quantity demanded. This will be your demand curve. You do that like this: you see that at the price 4.89, quantity demanded was 311. Plot a point at the coordinates x:311, y:4.89. Same for other prices; plot the 4 other points (for example, the second has coordinates x:388, y:4.29). Now connect those points with a curve. This is your demand curve! Now plot quantity supplied the same way and draw the supply curve. 
Surplus is when quantity supplied is greater than quantity demanded. This happened at prices 5.39 and 5.19. Shortage is when quantity demanded is greater than quantity supplied, which happened at prices 4.29 and 4.89. Equilibrium is when both quantities are the same and the market clears; that happened at the price 5.00. 
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What is the probability that a randomly chosen point on the grid below is in the blue area? A grid with 20 squares. 12 are shade
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Answer:

Three-fifths

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The probability that a randomly chosen point on the grid below is in the blue area is equal to dividing the number of blue squares by the total number of squares

Let

x -----> the number of blue squares

y ----> the total number of squares

so

P=\frac{x}{y}

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substitute

P=\frac{12}{20}

simplify

P=\frac{3}{5}

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Answer:

The expression would give the probability that one marble is yellow and the other marble is red is,

P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)

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A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.

Hence,

Probability of getting yellow ball = P(Y)=\dfrac{8}{25}

Probability of getting red ball = P(R)=\dfrac{5}{25}

Probability that one marble is yellow and the other marble is red is,

P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128

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