Answer:
C. The distributive property
Step-by-step explanation:
The distributive property of binary activities is generalized in mathematics by the distributive law of Boolean algebra and elementary algebra. Distribution applies, in propositional logic, to two clear substitution laws. The rules allow one to reformulate, within logical facts, conjunctions and disjunctions.
Answer:
(a) median = 57
(b) Q1=50 Q3=63.5
(c)D1 = 41 D9=67
(d)P33= 51
Step-by-step explanation:
(a) The numbers are arranged in ascending order, and there are even number of calls. So the median will be the average of the middle terms.
middle terms are 55 and 59
Median = 
median= 57
(b) First quarter Q1 = 
th
=
th
= 7.5th
so the first quarter lies in the 7.5th= (7+0.5)th term
So we multiply 0.5 by the difference of the 7th and 8th term
=0.5 *0= 0
Q1 = 50+0=50
Q3=
th
=
th
=22.5th = (22+0.5)th term
So we multiply 0.5 by the difference of the 22th and 23rd term
= 0.5*1=0.5
Q3= 63+0.5=63.5
(c) First decile (D1) = 
th
=
th
= 3rd term
D1= 41
D9= 
th
=
th
=27th term
D9 = 67
(d) 33rd percentile =
th
=
th
= 9.9th term = (9 +0.9)th
Multiply 0.9 by the difference between the 9th and tenth term.
= 0.9*0 =0
P33 = 51
Answer:
x = 3
y = 4
hey, I am not 100% sure of the certainty of my answers, I am using what I remember about that topic but I do not know if it is right or wrong, I hope I have helped you, I did what I could.
Step-by-step explanation:
-3x + 2y = 23
5x + 2y = -17
X solution:
(you cancel the y)
-3x = 23
5x = -17
(you combine all the values above with those below)
2x = 6
(solve the ecuation normaly)
x = 6/2 = 3
Y solution:
(you replace the x)
-3(3) + 2y = 23
5(3) + 2y = -17
-9 + 2y = 23
15 + 2y = -17
(you combine all the values above with those below)
6 + 4y = 6
(solve the ecuation normaly)
4y = 0
y = 4
(I do not really know if the answer here is 0 or 4 since when passing the 4 to divide it would be 0/4 and I do not understand very well how that is solved)
D) 18 months. if you do $576 divided by $32 you will end up with 18 which will be the amount of months it will take.
Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!
