Answer:
X=3
Y=1
Step-by-step explanation:
In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.
5y-4x =-7 Equation 1
2y+4x=14 Equation 2
Since x has the same coefficient, it's easy to eliminate by adding up the two equations
5y+2y=7y
-4x+(+4x)=0
-7+(+14)=7
We have 7y=7
Divide both sides by 7,
y=7/7
y=1
Substituting for y in equation 2.
2(1)+4x=14
2+4x=14
4x=14-2
4x=12
x=12/4
x= 3
Answer:
Standard deviation 46.3
Step-by-step explanation:
A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.
Z score is calculated as follows:
x is the number being evaluated
μ is the mean
σ is the standard deviation
And it is used to calculate how many standard deviations you are from the mean of the sample.
Replacing with the known information you can calculate the standard deviation:
Combined area is 5.454 × 10^7 km²
Step-by-step explanation:
- Step 1: Find the combined area of Asia and Europe.
Area of Asia = 44,600,000 km²
Area of Europe = 9,943,106 km²
⇒ Combined Area = 44,600,000 + 9,943,106
= 54,543,106 km²
- Step 2: Convert to one significant figure.
54,543,106 = 5.454 × 10^7 km² (Dividing and multiplying by 10^7)
Answer:
8,000 orders
Step-by-step explanation:
At the given rates, 9 engineers should be able to process 12,000×9 = 108,000 orders. 8,000 more orders could have been processed.
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<em>Comment on unused capacity</em>
It is usually a good idea to try for 100% utilization of capacity only on the process constraining the rate at which money is being made. If there are constraints restricting the number of orders that can be filled, running Order Processing at full capacity can only result in unfilled orders and unhappy customers. It may have additional unwanted effects, too, such as increasing inventory of raw materials.
Answer:
Area = 216
Step-by-step explanation:
14 ⋅ 12 = 168
8 ⋅ 12 ÷ 2 = 48
164 + 48 = 216
<em>hope this helps :)</em>
