Step-by-step explanation:
1)......mean= sum of observations/ total observations
= 5.2+8.4+4.3+6.7+5.8/5= 6.08
median= n=5(odd)=n+1/2=6/2=3rdterm= 5.8( when arranged in ascending order).....
mode= 3median- 2meam= 3×5.8-2×6.08= 5.24
range=8.4-4.3=4.1(when done A.O)
2)......mean= -2-13-13-5-7/5= -8
median= 3rd term= -5.....(n=5..odd)(when done A.o)
mode=largest frequency= -13
range= -13-(-2) = -13+2= -11(A.O)
3).....mean= sum/no.= 8+6+13/2+17/2+15/2+7+8+11/2+7+8//10=7.2
median=n=10(even)
=
mode= 8
range=8.5-5.5=3
median:==
(10/2)+(10/2+1)//2=5 term + 6term/2=7+7.5=14.5/2=7.25
4)....
5)...remove 62...then 73will be having highest frequency
Please include the instructions; I assume your job is to find the value of x.
<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
1 1 1
</span><span>-------- - ------------ = ----
x+1 x+2 2
Identify the LCD. It is (x+1)(x+2)(2). Mult. all 3 terms of the equation by this LCD:
2(x+2) - 2(x+1) = 2(x+1)(x+2)
We can factor out the 2 from all terms:
x+2 - x - 1 = x^2 + 3x + 2
Let's move all terms from the left to the right side:
0 = x^2 + 3x + 2 - x - 2 + x + 1
Then x^2 + 3x + 1 = 0. This is a quadratic with a=1, b=3 and c=1.
What is x?
-3 plus or minus sqrt( 9-4(1)(1) ) -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
2 2
I rather expected to obtain an integer value for x.
Why don't you give this problem a try yourself? Suggestion: First mult. every term by 2. This will give you:
2 2
------- - ------- = 1 and this may be slightly easier to work with. Please
x+1 x+2 give it a try: try to find x that satisfies this equation.
Important: note that x cannot equal either -1 or -2.
</span>
The correct answer is 1.7 times 10^3.
Answer:
x+9
Step-by-step explanation:
f(x) = x, going up 9
that is y=x, going up 9
if you wnat to go up, subtract 9 from y
y -9 = x
y=x+9
convert back to f(x)
f(x) = x+9
