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boyakko [2]
3 years ago
7

150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w

ith either naughty and nice?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

The parents who didn't answer with either naughty and nice are <u>6</u>.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

<em>So, as given in question:</em>

<em>70% said that their kids are naughty.</em>

<em>26% said that their kids are nice.</em>

So, to get the percentage of parents who didn't answer we subtract.

<em>Thus, the percentage of  parents who didn't answer with either naughty and nice:</em>

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many  parents didn't answer we calculate the percentage of the total who didn't answer:

<em>Total parents surveyed = 150.</em>

<em>Parents who didn't answer =  4% of the total parents surveyed.</em>

Parents\ who\ didn't\ answer = 4\% of 150.

Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.

Parents\ who\ didn't\ answer = \frac{600}{100}.

Parents\ who\ didn't\ answer = 6.

Therefore, the parents who didn't answer with either naughty and nice are 6.

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3 years ago
Question 2 of 5
AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is f(n)=f(n-1)+d, f(1)=a,n\geq 2 and the explicit formula is f(n)=a+(n-1)d, where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is f(n)=rf(n-1), f(1)=a,n\geq 2 and the explicit formula is f(n)=ar^{n-1}, where a is the first term and r is the common ratio.

The first recursive formula is:

f(1)=5

f(n)=f(n-1)+5 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(5)

f(n)=5+5(n-1)

Therefore, the correct option is A, i.e., f(n)=5+5(n-1).

The second recursive formula is:

f(1)=5

f(n)=3f(n-1) for n\geq 2.

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

f(n)=5(3)^{n-1}

Therefore, the correct option is F, i.e., f(n)=5(3)^{n-1}.

The third recursive formula is:

f(1)=5

f(n)=f(n-1)+3 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(3)

f(n)=5+3(n-1)

Therefore, the correct option is D, i.e., f(n)=5+3(n-1).

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Answer:

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Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25    50   75

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Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is  observation

(\frac{n+1}{2}) ^{th} term

If the number of observations is even, then the median is  observation and  observations.

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                                       = 16

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