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netineya [11]
3 years ago
15

If your data set does not include an outlier which measure of center, Mean or Median, is best to use to describe your data. Expl

ain your choice.
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0
When there isn't an outlier, the mean is the best measure of central tendency, because it gives you a more arithmetic answer of the true center since all numbers are included in the equation rather than at max 2 numbers in the middle of the list.
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Find the number of units that produce a maximum revenue, R =95x-0.1x^2, where R is the total revenue in dollars and x is the num
svp [43]

Answer:

x=475 units

Step-by-step explanation:

Method 1

The given revenue function is R(x)=95x-0.1x^2.


We rewrite this function in the vertex form by completing the square.


\Rightarrow R(x)=-0.1x^2+95x.


\Rightarrow R(x)=-0.1(x^2-950x)+0.


We add and subtract half the coefficient of x multiplied by a factor of -0.1, which is -0.1(-\frac{950}{2})^2=-0.1( -475)^2 to get,

R(x)=-0.1(x^2-950x)+-0.1(-475)^2--0.1(-475)^2 +0.


We factor -0.1 out of the first two expressions again to get,


R(x)=-0.1(x^2-950x+(-475)^2)--0.1(-475)^2 +0.


We now got a perfect square.


\Rightarrow R(x)=-0.1(x-475)^2+22562.5.


Therefore the maximum revenue occurs when x=475 units were sold.


Method 2


Use derivatives to find the x-value of the maximum point.

R(x)=-0.1x^2+95x


R'(x)=-0.2x+95


At maximum point,


R'(x)=0


\Rightarrow -0.2x+95=0.


\Rightarrow -0.2x=-95.


\Rightarrow x=\frac{-95}{-0.2}.


\Rightarrow x=475.















3 0
3 years ago
I will mark u brainles if you're correct
Virty [35]

9514 1404 393

Answer:

  rules of exponents apply

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Applying those rules to the given equation, you get ...

  \left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}

6 0
3 years ago
Math revision part 3
miskamm [114]

Answer:

the first one is b

the second one is c

the third one is a

the fourth one is b

6 0
3 years ago
How many elements must a set have if the number of proper subsets of the set is one half of the total number of subsets of the​
pickupchik [31]
The questions ask you to caculate how many elements must a set of numbers of proper subsets of the set 1/2 of the total number of subsets per a subset,base on the question I bet the answer is 1 I hope this helps let me know if u passed and I will try to work it out again GREAT LUCK!!
8 0
2 years ago
Which property of real numbers is shown below?
lukranit [14]
I think it might be commutative or associative but double check
3 0
3 years ago
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