We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.
We can see that our given data set has a large valued data point that is $92,000.
We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.
We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.
- We know, sum of all angles of a triangle is 180°.
- Therefore, by the problem
72 + 64 + (4x+20) = 180
or, 156 + 4x = 180
or, 4x = 180 - 156
or, 4x = 24
or, x = 24 ÷ 4 = 6
<h3><em>Your </em><em>answer </em><em>is </em><em>6</em><em>.</em></h3>
Answer:
He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.
Step-by-step explanation:
A third of 6 is 2 and half of six is 3.
Answer:

Step-by-step explanation:
We have the quadratic equation
i.e. 
As, the roots of the quadratic equation
are given by
.
So, from the given equation, we have,
a = 1, b = -36 , c = -324.
Substituting the values in
, we get,

i.e. 
i.e. 
i.e. 
i.e.
and 
i.e.
and 
i.e. x = 43.45 and x = -7.45
Thus, the roots of the equation are 43.45 and -7.45.
Hence, the factored form of the given expression will be 
Answer:
15,000$
Step-by-step explanation:
According to the information given, profits are divided equally into 4 parts
Since the total profit for the first month is 100,000$ each party will receive a sum of 25,000$. This means that Y also receives the same amount
Now if the profits were divided in proportion to the investments made we first find the proportion on investment made by Y.
The total investment made is 6000$ + 2000$ + 8000$ + 4000$ = 20,000$. Out of this, the amount invested by Y is 8000$
finding the proportional profit of Y

=40,000$
So Y receives 40,000 - 25,000 = 15,000 less