Answer:
(6x-2) - (-x+5)
= 6x-2 +x -5
= 7x -7
if you're trying to solve for x, then look below
7x=7
x=1
Answer:
The value of x = -13
Step-by-step explanation:
Given the expression
Multiply both sides by 2
simplify
Subtract 1 from both sides
Simplify
Divide both sides by 0.2
Simplify
Therefore, the value of x = -13
Given that mean=3750 hours and standard deviation is 300:
Then:
<span>a. The probability that a lamp will last for more than 4,000 hours?
P(x>4000)=1-P(x<4000)
but
P(x<4000)=P(z<Z)
where:
z=(x-</span>μ)/σ
z=(4000-3750)/300
z=0.833333
thus
P(x<4000)=P(z<0.8333)=0.7967
thus
P(x>4000)=1-0.7967=0.2033
<span>b.What is the probability that a lamp will last less than 3,000 hours?
P(x<3000)=P(z<Z)
Z=(3000-3750)/300
z=-2.5
thus
P(x<3000)=P(z<-2.5)=0.0062
c. </span><span>.What lifetime should the manufacturer advertise for these lamps in order that only 4% of the lamps will burn out before the advertised lifetime?
the life time will be found as follows:
let the value be x
the value of z corresponding to 0.04 is z=-2.65
thus
using the formula for z-score:
-2.65=(x-3750)/300
solving for x we get:
-750=x-3750
x=-750+3750
x=3000</span>
First move the constant to the other side causing it to change sides
4x<-6-6
Then calculate the difference (-6-6)
4x<-12
Now divide both sides by 4
X<-3
Then you are left with your answer:
x<-3
Hope this helps! :3
Answer:
No
Step-by-step explanation: They are not because different banks have different interest rates on accounts, different fees and more
