We can see that the 12 in the equation is basically the "m" in the "general slope-intercept form."
Therefore, your answer is the slope of the equation is 12.
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>
Answer:
no
Step-by-step explanation:
half is bigger then 1/3 think of it like this split a pizza into 2 pieces and the other into 3 take one out of both which is bigger if that helps
Answer:
y=3/4x-7
Step-by-step explanation:
(0,-7) is the y-intercept
3/4 is the slope
y=mx+b
m is the slope
b is the y-intercept
plug it in:
y=3/4x-7
please mark brainliest!
