The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.
In this problem,
The average = $1000
the amount of terms = 3
x = the amount earned Sunday
($1073 + $1108 + x) / 3 = $1000
First, multiply both sides by 3
$1073 + $1108 + x = $3000
Add together like terms
$2181 + x = $3000
Subtract $2181 from both sides.
x = $819
The restaurant needs to earn $819 on Sunday to have an average of $1000
|3x+1|=4 : x=−
5
3 or x=1
Pasos
|3x+1|=4
Aplicar las propiedades de los valores absolutos: Pi |u| = a, a>0 entonces u = a or u = −a
3x+1=−4 or 3x+1=4
Mostrar pasos
3x+1=−4 or 3x+1=4
Answer:
Answer: 31,200
Step-by-step explanation:
Every year, 9% interest, or $1,350, is being added to the account. $1,350x12=16,200
16,200 + 15,000 = 31,200
In order to draw the Box-whisker plot, we need to rewrite the data in increasing order.
42 43 47 48 51 52 56 56 58 60 62 64 65 66
Mean of the data = (42 + 43 + 47 + 48 + 51 + 52 + 56 + 56 + 58 + 60 + 62 + 64
+ 65 + 66) ÷ 14
Mean of the data = 770 ÷ 14
Mean of the data = 55
Median = (56 + 56) ÷ 2
Median = 112 ÷ 2
Median = 56
Lowest value = 42
Highest value = 66
Range = Highest value - Highest value
Range = 66 - 42
Range = 24
Lower Quartile = 25% of the data
Lower Quartile = 48
Upper Quartile = 75% of the data
Upper Quartile = 62
9514 1404 393
Answer:
(0,0)
(0,3)
(3,2)
(4,0)
Step-by-step explanation:
The feasible region is the doubly-shaded area in the lower left corner of the first quadrant. It is a quadrilateral, so has 4 vertices. Those are the vertices of the feasible region:
(0,0)
(0,3)
(3,2)
(4,0)
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<em>Additional comment</em>
The objective function has positive slope, so the point (4, 0) will maximize it, and the point (0, 3) will minimize it.
