Answer: 
Step-by-step explanation:
<u>Given information</u>
<u>Derived expression from the given information</u>
<u>Substitute values into the given expression</u>
<u>Simplify the position</u>
<u>Therefore, the current position of the fish is:</u>
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Answer:
12 x 2.25 x 1/3 = 9
Step-by-step explanation:
L x W x H
Answer:
6x
Step-by-step explanation:
Given that a function f(x) is given as
A) 
Now divide by delta x
B) When delta x tends to 0, this becomes
(NOte: This is the derivative of f(x))
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
Find the mean for both:
Sierra: 2 + 11 + 12 + 13 + 15 = 53
53/5 =10.6
Median is the middle value = 12
Alek: 9 + 11 + 11 + 12 + 13 = 56
56/5 = 11.2
Median = 11
A: The medians do not equal the mean.
B: Sierra's are more spread out, ( no identical ages and a greater range ).
C: Sierra's mean is less than Alek.
D. Sierra has an outlier (2).
The answer would be B
