Answer:
P = 0.006
Step-by-step explanation:
Given
n = 25 Lamps
each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours
Find probability that the lamp will be burning at end of 1300 hours period.
As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have
Suppose i represents lamps
P (∑i from 1 to 25 (
> 1300)) = 1300
= P(
>
) where
represents mean time of a single lamp
= P (Z>
) Z is the standard normal distribution which can be found by using the formula
Z = Mean Time (
) - Life time of each Lamp (50 hours)/ (SD/
)
Z = (52-50)/(4/
) = 2.5
Now, P(Z>2.5) = 0.006 using the standard normal distribution table
Probability that a lamp will be burning at the end of 1300 hours period is 0.006
Answer:

Step-by-step explanation:
Evaluating the numerator and denominator before evaluating
Using the rule of exponents
⇔
,
= 1
Thus
y² ← substitute values into expression
=
× 4² =
× 16 = 
and denominator

= 1 × 4³ = 1 × 64 = 64
Now dividing
÷ 64
=
×
( cancel 16 and 64 )
=
= 
Answer:
this is answer
Step-by-step explanation:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
The answer is C.
-3*2+3=-3
2*2-7=-3.
hope this helps!