Answer: x = -1 and y = 5
Step-by-step explanation:
7x + 3y = 8 ........................... equation 1
4x - y = - 9 ............................ equation 2
Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have
y = 4x + 9 ............................. equation 3
substitute y = 4x + 9 into equation 1 , we have;
7x + 3 ( 4x + 9 ) = 8
7x + 12x + 27 = 8
19x + 27 = 8
subtract 27 from both sides
19x = -19
divide through by 19
x = -1
substitute x = -1 into equation 3 , we have
y = 4 ( -1) + 9
y = -4 + 9
y = 5
Therefore :
x = -1 and y = 5
Answer:
Step-by-step explanation:
<em><u>Given</u></em><em><u> </u></em><em><u>,</u></em>
Length of the tank = 27m
Width of the tank = 35m
Depth of the tank = 10m
<em><u>Therefore</u></em><em><u>, </u></em>
Volume of the tank = <em>Length</em><em> </em><em>×</em><em> </em><em>Width</em><em> </em><em>×</em><em> </em><em>Depth</em>
= 27m × 35m × 10m
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean = 
= 297/10 = 29.7
variance = 
= 289.56
SD = 
= 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Answer:
1/2.5
Step-by-step explanation:
The total commission is $996.
What is the total commission?
Commission earned is a function of the amount of sales and the percentage commission rate.
Commission on the first $6,000 : 5% x $6,000 = $300
Commission on the next $6,000 : 7.5% x $6,000 = $450
Commission on the sales over 12,000 : 10% x (14,460 - 12,000) = $246
Total commission : $300 + $450 + $246 = $996
To learn more about commission, please check: brainly.com/question/20987196
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