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Gnesinka [82]
3 years ago
11

The Taylors Have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was 60

.26. Later , Mrs.Taylor discovered that 1 weeks expense of $74 was incorrectly recorded as $47. What is the correct mean ? The correct mean is $ ____?
Mathematics
1 answer:
kherson [118]3 years ago
8 0

We are told that the Taylors Have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was 60.26. Later , Mrs.Taylor discovered that 1 weeks expense of $74 was incorrectly recorded as $47.

We can find the correct mean weekly expenses by calculating the mean of difference between 74 and 47, then adding it to the given mean weekly expenses.

\frac{74-47}{12}

\frac{27}{12}=2.25

Now let us add 2.25 in 60.26 to find the correct mean weekly expenses.

\text{Correct mean weekly expenses}=60.26+2.25

\text{Correct mean weekly expenses}=62.51

Therefore, the correct mean weekly expenses for the Taylors will be 62.51.

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The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $80. The quantity demand
Cerrena [4.2K]

Answer:p = (2100 - x)/25

Step-by-step explanation:

According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.

To derive the demand equation, we would apply the slope intercept form of equation which is expressed as

y = mx + c

Where

m = slope

c = intercept

The slope, m would be

(y2 - y1)/(x2 - x1)

Slope = (1100 - 100)/(40 - 80) = 1000/-40

Slope = - 25

To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes

1100 = - 25 × 40 + c

1100 = - 1000 + c

c = 1100 + 1000 = 2100

y = - 25x + 2100

Therefore, the demand equation is

x = - 25p + 2100

25p = 2100 - x

p = (2100 - x)/25

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3 years ago
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