Multiply the first bracket by 6.
Multiply the second bracket by 8
6(x+1)-5x= 8+2(x-1)
6(x)+6(1)-5x= 8+2(x)+2(-1)
6x+6-5x= 8+2x-2
6x-5x+6= 8-2+2x
x+6= 6+2x
Move +2x to the other side. Sign changes from +2x to -2x.
x-2x+6= 6+2x-2x
-x+6= 6
Move +6 to the other side. Sign changes from +6 to -6.
-x+6-6= 6-6
-x=0
Multiply by -1 for -x and 0
-x(-1)= 0(-1)
x= 0
Answer: x= 0
Answer:
6:13 or 6/13
Step-by-step explanation:
the total number of marbles is 26
the total number of red marbles is 12
6 to 13
6:13 OR 6/13
<em>(I was not sure if I was supposed to leave it as 12:26 or simplify it to 6:13, but I think 6:13 is more reasonable since it is asking for a ration)</em>
Answer: C .
and 
Step-by-step explanation:
Definition:
Null hypothesis
is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and '≥' signs.
Alternative hypothesis
is also a statement about the population parameter but against null hypothesis . It contains '≠' , '<' and '>' signs.
Let
be the average customer waiting time for the population.
Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.
Objective of test : After using new system , the average customer waiting time is at least 7.5 or less than 7.5.
Then, the null and alternative hypothesis for this scenario will be :


First, determine the z-score of 675.
z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
z = 0.
Subtracting the z-scores will give us 1.75. This is equal to 0.9599.
= 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.