Answer: x = 9.5
Step-by-step explanation:
3x - 12 = 5x - 31
First, add 31 to each side.
We get:
3x + 19 = 5x
Subtract 3x from each side.
We get:
19 = 2x
Divide both side by 2
9.5 = x
Given is square root of a negative real number, i.e.
When we find square root of positive real numbers, we get Real answers.
But when we find square root of negative real numbers, we get Imaginary answers. To solve them, we can split the given negative number into product of -1 and the number itself but with positive sign. e.g. -4 = -1 x 4.
For square root of -1, we use english letter 'i' called Imaginary unit i.e. 
Now we can use -0.25 = -1 x 0.25

Hence, "0.5i" is the final answer.
Answer:
PT = 17
Step-by-step explanation:
Since T is the midpoint of PQ, then
PT = TQ , substitute values
4x + 5 = 8x - 7 ( subtract 4x from both sides )
5 = 4x - 7 ( add 7 to both sides )
12 = 4x ( divide both sides by 4 )
3 = x
Thus
PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17
Nope because <span>Addition and multiplication are both </span>commutative<span>. </span>Subtraction<span>, </span>division<span>, and composition of functions are not</span>
Answer:
Step-by-step explanation:
To find median and mode for
a) In a uniform distribution median would be
(a+b)/2 and mode = any value
b) X is N
we know that in a normal bell shaped curve, mean = median = mode
Hence mode = median = 
c) Exponential with parameter lambda
Median = 
Mode =0