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.
Hello from MrBillDoesMath!
Answer:
35
Discussion:
Parallel lines cut by a transversal has corresponding angles equal. . So the corresponding angles x and (3x-70) are equal. That is,
x = 3x - 70 => add 70 to both sides
x + 70 = 3x => subtract x from both sides
70 = 3x - x = 2x => divide both sides by 2
x = 70/2 = 35
which is the third choice
Thank you,
MrB
The answer would be 10x^2 + 16x
good luck on whatever it is you’re doing ^^
Angle 1= 45
Angle 2= 76
Angle 3= 80
Answer:
y = 11/20
Step-by-step explanation:
-4/5 + y = -1/4
Add 4/5 to each side
-4/5 +4/5 + y = -1/4+4/5
y = -1/4 + 4/5
Get a common denominator
y = -1/4 *5/5 + 4/5 *4/4
y = -5/20 + 16/20
y = 11/20
Check
-4/5 +11/20 = -1/4
Get a common denominator
-4/5*4/4 + 11/20 = -1/4*5/5
-16/20 +11/20 = -5/20
-5/20 = - 5/20
Check