Answer:
The probability is 0.9106
Step-by-step explanation:
The variable that says the number of defective toasters follows a binomial distribution, where we have n identical and independent events (50 toasters) with a probability p of success (1% are defective) and a probability 1-p of fail (99% are not defective). So the probability that x toasters from the 50 are defective is:
Then, the probability P that no more than one of these toasters is defective is:
P = P(0) + P(1)
So, P(0) and P(1) are calculated as:
Finally, P is equal to:
P = 0.6050 + 0.3056 = 0.9106
Answer:
Step-by-step explanation:
Answer:
(-3, 1), 5
Step-by-step explanation:
x² + y² + 6x - 2y - 15 = 0
Rearrange:
x² + 6x + y² - 2y = 15
Complete the square:
x² + 6x + 9 + y² - 2y + 1 = 15 + 9 + 1
(x + 3)² + (y - 1)² = 25
Therefore, the center is (-3, 1) and the radius is 5.
Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
(write this in your own words)
Answer:
9/20
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