Answer:
Step-by-step explanation:
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At 10 square yards, both of the prices would be at $180
We are given the system of equations -:
Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.
Expand 3 in the expression so we can combine like terms and isolate x-variable.
Then combine like terms.
Get rid of 66 from the left side by subtracting both sides by itself.
To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.
Simplify to the simplest form.
Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.
Answer
I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!
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:
f(1) = -6
Explanation:
When you look at the points with x = 1, you will see a point that is open (o) and closed (•) The point that is closed (the one you are looking for) is an actual point of the function. The open point is where the function is discontinuous.
