9514 1404 393
Answer:
11) x = 9
12) x = 9
Step-by-step explanation:
11) Corresponding segments are proportional, so ...
x/6 = 12/8
x = 6(12)/8 . . . multiply by 6
x = 9
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12) Similar triangle relationships show you the geometric mean relationship that applies in this case.
long side/short side = x/3 = 27/x
x² = 3·27 . . . . . . cross multiply
x = √(3·27) . . . . geometric mean relationship
x = 9
Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.
Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;
2s + r = 30 ------(1)
Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;
s + 2r = 40 ------(2)
With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;
In equation (1), let r = 30 - 2s
Substitute for r into equation (2)
s + 2(30 - 2s) = 40
s + 60 - 4s = 40
Collect like terms,
s - 4s = 40 - 60
-3s = -20
Divide both sides of the equation by -3
s = 6.67
(Rounded up to the nearest whole number, s = 7)
Substitute for the value of s into equation (1)
2s + r = 30
2(7) + r = 30
14 + r = 30
Subtract 14 from both sides of the equation
r = 16
Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.
Hey there,
To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order. If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median. While the Rome data is nice and symmetrical, it does not seem to have an outlier, so we can use the mean for this data set.
Therefore the answer is:
The Rome data center is best described by the mean. The New York data center is best described by the median
Hoped I Helped
Answer:
I think it is the daughter
Step-by-step explanation:
only because she is only 115 m away from home plate itself and the father is 132m away which is going to take some for the sound waves to travel and for anyone to hear . Also if you don't believe me, more of an explanation is ...
Kilometers are 1,000 times larger than meters. The meter is the base unit for measuring length or distance in the metric system.
132 km x 1,000 = 132,000m and 115 is already in meters now i think that is simple enough of an explanation. Your welcome. I know I'm right
Answer:
This question overall depends on a continuously changing factor.
Step-by-step explanation:
There are many houses in this world that have an area of less than 100 
, while many others have up to 700, 800, or even 1000 of land. Your question is impossible to calculate because of the massive amount of houses in this world. If you want a good estimate, say around 0.9 to 1.8 billion.
