A manufacturer of a consumer electronics products expects 3% of units to fail during the warranty period. A sample of 500 indepe
1 answer:
Answer: a) 0.0000002, b) 15, c) 0.99996.
Step-by-step explanation:
Since we have given that
n = 500
p = 3% = 0.03
q = 1-0.03 = 0.97
So, we will use "Binomial distribution".
(a) What is the probability that none fail during the warranty period?
(b) What is the expected number of failures during the warranty period?
(c) What is the probability that more than 2 units fail during the warranty period?
Hence, a) 0.0000002, b) 15, c) 0.99996.
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Answer: Lattice parameter, a = (4R)/(√3)
Step-by-step explanation:
The typical arrangement of atoms in a unit cell of BCC is shown in the first attachment.
The second attachment shows how to obtain the value of the diagonal of the base of the unit cell.
If the diagonal of the base of the unit cell = x
(a^2) + (a^2) = (x^2)
x = a(√2)
Then, diagonal across the unit cell (a cube) makes a right angled triangle with one side of the unit cell & the diagonal on the base of the unit cell.
Let the diagonal across the cube be y
Pythagoras theorem,
(a^2) + ((a(√2))^2) = (y^2)
(a^2) + 2(a^2) = (y^2) = 3(a^2)
y = a√3
But the diagonal through the cube = 4R (evident from the image in the first attachment)
y = 4R = a√3
a = (4R)/(√3)
QED!!!
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that . If we plug the side lengths in for a and b, we get
. This can be simplified to
, or
. If we root both sides, we find that c is equal to
, which is slightly more than 7, at around 7.2.