Answer:
Step-by-step explanation:
Total number is 20.
<u>Distribution is:</u>
- Art + Biology = 1
- Biology = 1
- Neither = 7
The rest = 20 - 9 = 11, the Art students
Total number of Art students becomes 12
<u>The probability would be then:</u>
Answer:
See below.
Step-by-step explanation:
x^2 + 2 = 3^2/3 + 3^-2/3
x^2 = 3^2/3 + 3^-2/3 - 2
x = √(3^2/3 + 3^-2/3 - 2)
x = 0.748888296
Substitute for x in 3x^3 + 9x - 8:
3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.
So it is proved.
Answer:
Step-by-step explanation:
That'd be the Substitution Property. Substitute -2 for x in x + 8 = 6 and arrive at the true statement 6 = 6.
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