Answer:
I Do
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Hope this helps man i have the same answer rn and im in middle school
opened.
B. The amount of money in a bank account never changes
C. The amount of water in a cup decreases as it evaporates
D. A flower slowly grows taller
Answer:B the amount of money in a bank account never changes.
Step-by-step explanation:
Answer:
B. The amount of money in a bank account never changes.
Step-by-step explanation:
Equilibrium is achieved when the state of a reversible reaction of opposing forces cancel each other out. While in a state of equilibrium, the competing influences are balanced out. Imagine a cup with a hole in it being filled with water from a tap. The level of water in this cup would stay the same if the rate at which the water that flows inside is the same as the water that flows outside. Option B will be the correct answer because the amount of money going into the account is at the same rate of money coming out of the account.
first term and common ratio.
a_=1 and r=-2/3
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Answer:
Step-by-step explanation:
Given
Required
Determine the 7th term
The nth term of a gp is:
So, we have:
Answer:
Step-by-step explanation:
The order for FCFS is: 20->10->22->20->2->40->6->38.
Distance is
10+12+2+18+38+34+32 = 146
cylinders, so time is
146* 6 = 876 sec.
The order for elevator is:
20->20->22->38->40->10->6->2.
Distance is
0+2+16+2+30+4+4 = 58
cylinders, so time is
58 * 6 =348 msec.
The order for CCN is:
20->20->22->10->6->2->38->40.
Distance is
0+2+12+4+4+36+2 = 60
cylinders, so time is 60 * 6 =360 msec.
Answer:
a) There is a 59.87% probability that none of the LED light bulbs are defective.
b) There is a 31.51% probability that exactly one of the light bulbs is defective.
c) There is a 98.84% probability that two or fewer of the LED light bulbs are defective.
d) There is a 100% probability that three or more of the LED light bulbs are not defective.
Step-by-step explanation:
For each light bulb, there are only two possible outcomes. Either it fails, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
a) None of the LED light bulbs are defective?
This is P(X = 0).
There is a 59.87% probability that none of the LED light bulbs are defective.
b) Exactly one of the LED light bulbs is defective?
This is P(X = 1).
There is a 31.51% probability that exactly one of the light bulbs is defective.
c) Two or fewer of the LED light bulbs are defective?
This is
There is a 98.84% probability that two or fewer of the LED light bulbs are defective.
d) Three or more of the LED light bulbs are not defective?
Now we use p = 0.95.
Either two or fewer are not defective, or three or more are not defective. The sum of these probabilities is decimal 1.
So
In which
There is a 100% probability that three or more of the LED light bulbs are not defective.
The question relates to binomial distribution in probability theory. The probabilities calculated include those of none, one, two or less, and three or more LED bulbs being defective out of a random sample of 10.
This question relates to the binomial probability distribution. A binomial distribution is applicable because there are exactly two outcomes in each trial (either the LED bulb is defective or it's not) and the probability of a success remains consistent.
a) In this scenario, 'none of the bulbs being defective' means 10 successes. The formula for probability in a binomial distribution is p(x) = C(n, x) * [p^x] * [(1-p)^(n-x)]. Plugging in the values, we find p(10) = C(10, 10) * [0.95^10] * [0.05^0] = 0.5987 or 59.87%.
b) 'Exactly one of the bulbs being defective' implies 9 successes and 1 failure. Following the same formula, we get p(9) = C(10, 9) * [0.95^9] * [0.05^1] = 0.3151 or 31.51%.
c) 'Two or less bulbs being defective' means 8, 9 or 10 successes. We add the probabilities calculated in (a) and (b) with that of 8 successes to get this probability. Therefore, p(8 or 9 or 10) = p(8) + p(9) + p(10) = 0.95.
d) 'Three or more bulbs are not defective' means anywhere from 3 to 10 successes. As the failure rate is low, it's easier to calculate the case for 0, 1 and 2 successes and subtract it from 1 to find this probability. This gives us p(>=3) = 1 - p(2) - p(1) - p(0) = 0.98.
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8 pounds of chamomile tea must be mixed to make a mixture that costs 14.63 per pound.
Step-by-step explanation:
We are given the following in the question:
Chamomile tea:
Unit cost = 18.20 per pound
Amount = x pounds
Total cost =
Orange tea:
Unit cost = 12.25 per pound
Amount = 12 pounds
Total cost =
Total mixture:
Unit cost = 14.63 per pound
Amount = (12+x) pounds
Total cost =
We can write the equation that cost of mixture is equal to cost of chamomile tea and orange tea.
Thus, 8 pounds of chamomile tea must be mixed to make a mixture that costs 14.63 per pound.