2 to the tenth power in standard form is 1024.
A number raised to the power of another number is an exponential expression. In any equation, polynomial, or expression the powers of the variables are used to find the degree of that equation, polynomial, or expression. It indicates the number of times the base is multiplied by itself. The power is generally represented as where x is the base and n is the exponent and is read as x raised to the power of n.
Thus, when 2 is raised to the power of 10. it gives 1024.
Learn more about Power here:
#SPJ6
determine her distance y from home after x hours.
2. A train traveled 150 miles in 1 1/4 hours. At this rate, how far will the train travel after 5 hours?
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.
#SPJ2
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%