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.
The common difference is x
the first term is x+1
a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1
Answer:27/343 or 0.0787172
Step-by-step explanation:
First you need to place the exponent on both the numerator and the demonimator to make 3 to the power of 3 over 7 to the power of 3
Next you evaluate the numerator so 3 to the power of 3 is 27
and 7 to the power of 3 is 343 so your answer in fraction form is 27/343
you can also change into a decimal if you divide the fraction if you need to
Hope this helps
Answer:
y = -4/3x -9
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
8x+6y = -54
Subtract 8x from each side
8x+6y-8x = -8x-54
6y = -8x-54
Divide each side by 6
6y/6 = -8x/6 -54/6
y = -4/3x -9