The fifth term in the sequence would be 161.
Step-by-step explanation:
We have to find the fifth term in the sequence
Given that
a1 = 1 (that is the first term)
If we follow the formula, the value of every term depends on the value of immediate lower term. Therefore, the a2 can be calculated by putting 2 in place of n in above equation
as a1 = 1
Similarly,
as a2 = 5
and
as a3= 17
and
as a4 = 53
Therefore, the fifth term in the sequence would be 161.
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Keywords: sequence, arithmetic series
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There are 14 floors in the building, because since Juan went up 4 floors, down 3 floors, and up one floor; so we know that he is 2 floors above from where he originally started. Once he went down 9 floors he passed the starting point and went to the bottom of the building. So, the middle must have been the 7th floor. Once I knew that I multiplied 7*2 and it got me 14. So in total there are 14 floors. I hope this helped ^^
Answer:
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
Step-by-step explanation:
For each cover, there are only two possible outcomes. Either it is defective, or it not. The probability of a cover being defective is independent from other covers. So we use the binomial probability distribution to solve this question.
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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
If the fraction of defective covers produced on the USB Mouse Factory production line is known to be 8%, what is the probability that a sample of 10 covers will contain exactly 2 defectives?
This is when . So
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
A series of multiplying and adding all the bird feeder quantities
2(4.5)+2(2.75)= (9)+(5.5)=14.5 cups add the remaining bird seed of 3.5
14.5 +3.5= 18 cups at the beginning