Percent = 80%
decimal = .8
fraction = 12/15
Answer:
a25 = 21
Step-by-step explanation:
In accordance with the given data, this is arithmetic sequence.
If we take that the first term is a1, diference d=1, n-th term is an= a1+ (n-1)d and the sum of the first n terms of the arithmetic sequence is Sn= n/2(a1+an)
Now we don't know the value of the first term but 25-th term is
a25 = a1+(25-1) · 1 = a1+24 => a25=a1+24
The average value of the n-th terms is Sn/n = (n/2(a1+an))/n = 1/2(a1+an)
average value of the 25-th terms is 1/2(a1+a1+24) = 1/2(2a1+24)
That average value is equal to the square of the first term
1/2(2a1+24) = a1∧2 => a1+12 = a1∧2 => a1∧2 - a1 -12 = 0
Now we will factorize this quadratic equation
a1∧2 -4a1 + 3a1 -12 = 0 => (a1∧2 - 4a1) + (3a1 -12) = a1(a1-4) + 3(a1-4) =>
(a1-4) (a1+3) = 0 => a1 - 4 = 0 or a1 + 3 = 0 => a1 = 4 or a1 = -3
because you want the least possible value of the last ( 25-th) term
we choose a1= -3 and finally we get
a25 = a1+24 = -3 + 24 = 21 => a25 = 21
God with you!!!
Answer:
600/12=50 words in 1 minute
Step-by-step explanation:
easy
The data display that is best for Anne's purpose is: D. a histogram, because the bars show the frequency of data points within different ranges.
<h3>What is histogram?</h3>
Histogram is a graph that help to the following into different rages
- Distribute data
- Group and organize data
- Display frequency distribution
- Summarize data etc.
Based on the data given Anne should make us of histogram based on the fact that the graph shows the frequency of the data points that are within different ranges.
Therefore the correct option is D.
Learn more about histogram here:brainly.com/question/16424842
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