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Fofino [41]
3 years ago
5

Cliff wants to determine whether people prefer red apples or green apples. In order to obtain good results, he decides to conduc

t this survey at a car festival. Out of the 5000 people who attended the festival, Cliff surveys 10 attendees randomly. The survey reads, "Which do you prefer, red apples or green apples" Seven of ten people surveyed answer that they prefer red apples. From his survey, Cliff concludes that most people prefer red apples. Cliff's results may not be reliable because of _____________ problems with his study?
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

Small sample size.

Step-by-step explanation:

The problem with Cliff's survey is that his sample size is too small. 10 out of 5,000 people represent only 0.2% of the population that attended the festival, which is too small of a sample for a reliable study.

Furthermore, since Cliff's question was to determine whether people, in general, prefer red apples or green apples, the sampling of only people who attended the festival might no be adequate.

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f(x) = sin(x)

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Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

a_n=4n+5

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

a_{25} = 4(25)+5\\=100+5\\=105

The formula for sum is:

S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

d=4

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3280369
  • brainly.com/question/7221312

#LearnwithBrainly

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