Answer:
If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 15
Standard Deviation, σ = 1
Sample size = 4
Total lifetime of 4 batteries = 40 hours
We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.
Formula:

Standard error due to sampling:

We have to find the value of x such that the probability is 0.05
P(X > x) = 0.05
Calculation the value from standard normal z table, we have,
Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
Answer:
-3.3...
Step-by-step explanation:
3.2p-2.5+2.1p=5p-7/2
3.2p+2.1p-5p=-7/2+2.5
5.3p-5p=-7/2+2.5
0.3p=-1
p=-1/0.3
p=-3.3
Answer:
√10/2x
Step-by-step explanation:
Multiply by √6 on the top and bottom to rationalize the denominator.
(√15×√6)/(√6x×√6) = √90/6x = (√9×√10)/6x = 3√10/6x = √10/2x
You would do 29.85 ÷ 3 which equals 9.95. You would do the in verse operation. Hope I helped you.