Answer:
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year
This means that 
What is the probability that a given battery will last between 2.3 and 3.6 years?
This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So
X = 3.6



has a p-value of 0.8849
X = 2.3



has a p-value of 0.0808
0.8849 - 0.0808 = 0.8041
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years
Answer: 1,004.8 cubic meters (choice D)
Work Shown:
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*8^2*15
V = 1,004.8
Answer:
2√41 ≈ 12.81 units
Step-by-step explanation:
The distance between two points is conveniently found using the distance formula:
d = √((x2 -x2)^2 +(y2 -y1)^2)
d = √((-3-5)^2 +(8-(-2))^2) = √(64 +100) = 2√41 ≈ 12.81 . . . units
First, we must find common denominators in order to subtract the terms. we can multiply 8/9 by 2/2 and 1/2 by 9/9.
we get:
16/18-9/18
16-9= 7 and we keep the same denominators, so our final simplified answer is:
7/18
hope this helped!! xx
Answer:
It would be nice to have the equation and/or picture, however I am giving a list of common pillow sizes for reference.
Step-by-step explanation:
Pillow size: Metric Measurements (cm) Imperial Measurements
Standard (51 x 66 cm) 20" x 26"
Queen (51 x 76 cm) 20" x 30"
King (51 x 92 cm) 20" x 36"
European square (66 x 66 cm) 26" x 26"