Answer:
12.
Step-by-step explanation:
First arrange in ascending order:
2 5 8 10 14 17 21
The median is 10.
the lower quartile is the middle number of 2 5 and 8 which is 5.
Similarly the upper quartile is 17.
IQR = 17 - 5 = 12.
Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by 
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,
= 
= 
= 
= Remainder
Hence, Remainder is 55.
Answer:
1/3
Step-by-step explanation:
There are 6 faces on a number cube.
We know that 2 of those faces are greater than 4.
So,
2 out of 6 faces=2/6=1/3
<span>2n + 5 – (3n + 7) + 4n – 9
</span> <span>6n + 5 – (3n + 7) – 9
</span> <span>6n – 4 – (3n + 7)</span>
<span>6n – 4 – 3n – 7
</span> <span>3n – 4 – 7
</span> <span>3n –11</span>
Answer:
add x
Step-by-step explanation:
The operation "subtract 5" has eliminated the constant from the right side of the equation, so the next step would be to eliminate the variable from the left side. You do that by adding the opposite of the variable term.
The opposite of the term -x is x, so we "add x" as the next step.
This makes the solution look like ...
-x +6 = 5 -3x
-x +1 = -3x . . . . . . subtract 5
1 = -2x . . . . . . . . . add x
-1/2 = x . . . . . . . . .divide by -2
_____
<em>Comment on this solution</em>
My preference is always to add the opposite of the variable term with the smallest coefficient. Here, that term is -3x, so I would add 3x as a first step. This leaves the only x-term with a <em>positive</em> coefficient, so can reduce errors in the solution.
