1) the types of number are the negative integers (e.g √-1 √-3 <span>√-5 are not defined)
2) the answer is No, proof: 2x</span>√-1 is not defined because <span>√-1 doesn't exist
3) the answer is No, proof: </span>√-1 - 3 is not defined because √-1 doesn't exist
4) the answer is Yes, proof: (√-1 )²= -1 this is a real number
5) the answer is No, proof: (√-1 )^3= (√-1 )²(√-1 )= - 1(√-1 ), and - 1(√-1 ) is not defined because √-1 doesn't exist
6) the result would be defined with the following cases:
√-1+n, n>1
√-1xn, n<0
√-1/n, n<0
7) the result would not be defined with the following cases:
√-1+n, n<0
√-1xn, n>0
√-1/n, n>0
8) to square <span>3 + √-1, I use the method of complex number
i²= -1, it implies i= </span>√-1
so 3+√-1=3+i, and then (3+√-1)²=(3+i)²= 9 -1+6i= 8-i= 8-√-1
9) it is used for finding complex roots of a number
Answer:
Interval is given with 97% confidence. Thus there is 3% probability that interval is not true.
Step-by-step explanation:
In Statistics, estimated intervals are given with some confidence level. In this example person develop the interval with 97% confidence.
<em>Statistically</em>, this means that the person can be 97% sure (not 100%) that population mean is 74.3 < µ < 78.3. There is still 3% probability that population mean falls outside of the interval.
Small sample size may also lead wrong estimates.
Answer:

Step-by-step explanation:
we know that
The angle x belong to the III quadrant -----> given problem
step 1
Find the angle x

Remember that the angle x belong to the III Quadrant
so

step 2
Find angle x/2

step 3
Find tan(x/2)

Answer:
Follows are the solution to this question:
Step-by-step explanation:
In this question, we apply the associative property that calculates the given value, which can be defined as follows:
Rule:

Let,

put the value in the above rule:
Solve L.H.S part:

Solve R.H.S part:

So, L.H.S=R.H.S
no solution.
The two lines are parallel
(same slope but different y intercepts)