Answer:
The result of applying the square root property of equality to this equation is
.
Step-by-step explanation:
Consider the provided equation.

As the above equation is formed by perfect square trinomial so simply applying the square root property as shown:

Isolate the variable x.

Hence, the result of applying the square root property of equality to this equation is
.
To determine whether the corresponding terms of 2 arithmetic sequence's added will give new arithmetic sequence or not, Let' take 2 Arithmetic sequences.
In one first term is a1 and common difference is d1, in the other first term is a2 and common difference is d2.
Now nth term for first sequence = a1+(n-1) d1
nth term for second sequence = a2+(n-1) d2
Now add the 2 terms: a1+(n-1)d1 +a2 +(n-1)d2
= a1+a2 + (n-1)(d1+d2)
This is again new arithmetic sequence with first term a1+a2 and common difference d1+d2.
Hence if we add corresponding terms of 2 arithmetic sequence, we will again get an arithmetic sequence.
<u>ANSWER: </u>
In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.
<u>SOLUTION:
</u>
Given, in a data set with a range of 55.4 to 105.4 and 400 observations.
There are 176 observations below the value of 86, and we need to find the percentile for 86.
We know that, percentile formula = 
Percentile of 86 = 
Since, we cancelled 400 with 100 we get 4 , hence above expression becomes,
= 49
So, percentile of 86 = 49
Hence, 86 lies in the 49th percentile.
Answer: There will be two different ways of doing so.
Step-by-step explanation:
Since we have given that
Total number of rocks =38
If we want to groups of 10 rocks or as single rocks then there are 2 different ways ;
<u>Case I:</u>
if we group into 10 rocks
there will be four sets in which Ist set contains 10 rocks
Second set contains 10 rocks
Third set contains 10 rocks
and Fourth set remains with 8 rocks only.
<u>Case II:</u>
if we group as single rocks .
There will be 38 sets .