Final answer:
Using the binomial probability formula, the probability that exactly 1 out of 6 seeds doesn't grow is approximately 0.119 or 11.9%.
This question revolves around the concept of binomial probability. The binomial distribution model is an appropriate statistical model here since there are a fixed number of trials (6 seed plantings), each trial (seed planting) is independent, and each trial results in one of two outcomes: success (plant grows) or failure (plant doesn’t grow).
The binomial probability formula is P(X=k) = C(n, k)*(p^k)*(q^(n-k)), where 'n' is the number of trials (6 in this case), 'k' is the number of 'successes' we're interested in (5 in this case, since we want only 1 seed - out of 6 - not to grow), 'p' is the probability of success, and 'q' is the probability of failure.
Here, to calculate the probability, p (probability of successful growth) is 0.75 and q (probability of not growing) is 0.25 (= 1 - 0.75).
So, P(5 plants grow and 1 doesn’t) = C(6, 5) * (0.75^5) * (0.25^1) = 0.119.
So, the probability that exactly 1 out of 6 seeds does not grow is approximately 0.119 or 11.9%. This scenario is also known as binomial distribution scenario.
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Answer:
9.72405%
Step-by-step explanation:
Binomial Probability
(N choose k) p^k (1-p)^(n-k)
N=7 seeds planted
p= 100% - 70% = 30% = 0.3 <--- we are interested in the plant NOT growing
(1-p) = 70% = 0.7 <--- 70% chance the plant will survive and grow
k=4 <--- we want four of them to fail
The probability is:
(7 choose 4) * (0.3)^4 (0.7)^3 =
7!/(4!3!) (0.3)^4 (0.7)^3 =
(7*6*5/3*2) (0.3)^4 (0.7)^3 =
7*5 (0.3)^4 (0.7)^3 =
35 * 0.0081 * 0.343 = 0.0972405 = 9.72405%
Answer:
82,800 centimeters.
Step-by-step explanation:
The tallest building in the world, The Burj Khalifa in Dubai is 0.828 kilometers high.
We have to convert this unit to centimeters.
As we know 1 km = 1000 meters
1 meter = 100 centimeters
Therefore, 1000 meter = 1000 × 100 = 100,000 centimeters.
0.828 km = 0.828 × 100,000 = 82,800 centimeters.
The height of the Burj Khalifa is 82,800 centimeters.
can be solved to determine n, the number of T-shirts that can be purchased. Which inequality best represents the solution?
Answer:
possibly 145 ?
Step-by-step explanation:
minus 25 from 170
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