Answer:
The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:
Compute the probability that none of the LED light bulbs are defective as follows:
Thus, the probability that none of the LED light bulbs are defective is 0.7374.
Answer:
C. Three
Step-by-step explanation:
We want to solve the equation for n:
14,580 = 20,000(9/10)^n
14580/20000 = 729/1000 = (9/10)^n
(9/10)^3 = (9/10)^n . . . . . . write the left side as a cube
3 = n . . . . . . equate exponents
After year 3, the value will be $14,580.
_____
You can use logarithms to find n:
log(0.729) = n×log(0.9) . . . . . . taking the log of the 2nd line above
log(0.729)/log(0.9) = n = 3
Answer:
10
Step-by-step explanation:
Length of boards are the same :
Let number of boards = x
Fraction cut from each board = 3/5
Total fraction cut = 3/5 * x
Fraction left = 1 - 3/5 = 2/5
Total fraction left = 2/5 * x
Total pieces left = 2/5 * x = 4 times length of original board
Note ; original fraction = 1
Hence,
2/5 * x = 4 * 1
2x / 5 = 4
2x = 4 * 5
2x = 20
x = 20 / 2
x = 10
Number of boards = 10
Answer: cos²(θ) + sin(θ)sin(e)
<u>Step-by-step explanation:</u>
sin (90° - θ)cos(Ф) - sin(180° + θ) sin(e)
Note the following identities:
sin (90° - θ) = cos(x)
sin (180° + θ) = -sin(x)
Substitute those identities into the expression:
cos(x)cos(x) - -sin(x)sin(e)
= cos²(x) + sin(x)sin(e)
Answer:
A is the answer to the question
Step-by-step explanation:
4*6=24
5*8=40
