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Ymorist [56]
4 years ago
15

13. the scatterplot shows the number of hours of sleep needed per day by age, based on the scatterplot what is the best predicti

on of the average number of hours of sleep for a 16 year old person?​

Mathematics
1 answer:
Kaylis [27]4 years ago
7 0

Answer:

Best prediction is 8.5 hours.

Step-by-step explanation:

Since there is no samples for the age of 16 years, the best estimate (prediction) would be to interpolate: compute the average between values of the neighboring ages, namely 8 and 9 (approximately). The closest choice to an average like that is 8.5 hours.

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The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1600 vo
Arturiano [62]

Answer:

Test statistic = -2.44

There is enough evidence to support the strategist's claim.

Step-by-step explanation:

H0 : p = 0.41

H1 : p < 0.41

pˆ = 0.38

Test statistic :

z=pˆ−p/√p(1−p)/n

Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600

Z = - 0.03 / √0.0001511875

Z = - 0.03 / 0.0122958

Z = - 2.4399

Test statistic = -2.44

The Pvalue :

P(Z < -2.44) = 0.0073436

α - level = 0.02

If Pvalue < α ; Reject H0

0.0073436 < 0.02 ; We reject H0

Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.

8 0
3 years ago
WILL GIVE EXTRA BRAINLST <br><br> HAVE A NICE DAy
Nikitich [7]

Answer:

Both answer choices are irrational

Step-by-step explanation:

Irrational means the number cannot be over a fraction or repeating so they are both irrational

hopes this helps

3 0
3 years ago
95 points <br><br> Simplify (4^9/4^3)^5 Show your work for full credit
dexar [7]

Answer:

  • 4^{30}

Step-by-step explanation:

  • (4^9/4^3)^5=
  • (4^{9-3})^5=
  • (4^6)^5=
  • 4^{6*5}=
  • 4^{30}
3 0
2 years ago
Read 2 more answers
Simply this term <br>5x+3y+5+4x+3y+y+8<br>​
valentina_108 [34]

Answer:

9x+7y+13

Step-by-step explanation:

5x+4x=9x

3y+3y+y=7y

5+8=13

3 0
3 years ago
Express the terms of the following sequence by giving a recursive formula.
MAXImum [283]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
3 years ago
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