Which system of linear equations has a solution of (2, 3)?
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Answer:
The new mean is 5.
The new standard deviation is also 2.
Step-by-step explanation:
Let the sample space of hours be as follows, S = {x₁, x₂, x₃...xₙ}
The mean of this sample is 4. That is,
The standard deviation of this sample is 2. That is, .
Now it is stated that each of the sample values was increased by 1 hour.
The new sample is: S = {x₁ + 1, x₂ + 1, x₃ + 1...xₙ + 1}
Compute the mean of this sample as follows:
The new mean is 5.
Compute the standard deviation of this sample as follows:
The new standard deviation is also 2.
The equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is 5u + 3.5p = 190
<em><u>Solution:</u></em>
Given that Karachi earns $5 for each umbrella that he sells and $3.50 for each rain poncho that he sells
Thus we can say,
Amount earned from 1 umbrella = $ 5
Amount earned from 1 rain poncho = $ 3.50
To find: equation to represent the number of umbrellas (u) and ponchos (p) he sold last week.
Let "u" be the number of umbrellas sold
Let "p" be the number of ponchos sold
He earned $190 last week selling ponchos and umbrellas
<em><u>Thus we can frame a equation as,</u></em>
number of umbrellas sold x Amount earned from 1 umbrella + number of ponchos sold x Amount earned from 1 rain poncho = $ 190
Thus the equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is found