2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution
<em><u>Solution:</u></em>
Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method
The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.
<em><u>Given equations are:</u></em>
2y + 1x = 40 -------- eqn 1
y = 2x ----------- eqn 2
We can substitute eqn 2 in eqn 1
Which means, substitute y = 2x in place of y in eqn 1
2(2x) + 1x = 40
4x + 1x = 40
5x = 40
x = 8
From eqn 2,
y = 2(8)
y = 16
Thus by combining using substitution method we found the solution
The mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters
<h3>What is mean absolute deviation?</h3>
It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.
We have depths of the scuba diver, in meters
{−9, −18, −16, −13, −14}
We know the formula for the mean absolute deviation:
Here n is total number of observation
x is the elements in the data set
X is the mean of the data.
n = 5
x = -70/5 = -14
∑|x-X| = 12
MAD = 12/5 = 2.4 meters
Thus, the mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters.
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Answer:
See attachment
Step-by-step explanation:
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Answer:
211 × 9 is 1899 so rounding to nearest thousands would be 2000
If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
The marginal product of labor (MPL) is the change in output that results from employing an added unit of labor.
The average product of labor (APL) is the total product of labor divided by the number of units of labor employed.
Here,
P= $10
The marginal product of labor (MPL)= $25
The average product of labor (APL)= $40
The value of marginal product of labor= P × The marginal product of labor (MPL)
The value of marginal product of labor= 10×25=$250
Hence, If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
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