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Anvisha [2.4K]
3 years ago
13

String a is 35 centimeters long. String b is five times as long as string a. Both are necessary to create a decorative bottle. F

ind the total length of string needed for 17 identical decorative bottle. Express your answer in meters.
Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer:

35.7 m.

Step-by-step explanation:

To find the length of string b, you have to multiply 35 by 5. You get 175, and so when it asks how much total string you need for each bottle you must add 175 and 35, which gets you 210. Then, to find how much you need in total for 17 bottles  you need to multiply 210 by 17. This gets you 3570 cm, which you can convert to 35.7m.


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Answer:

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

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Step-by-step explanation:

In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins.

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

x = 103 wins, μ = 81 wins, σ = 10.7

z = 103 - 81/10.7

z = 2.05607

Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.

(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the above question, we are asked to find the number of wins, this means we should find the raw score = x

z = 20.28, x = ? μ = 81 , σ = 10.7

Hence,

20.28 = x - 81/10.7

Cross Multiply

20.28 × 10.7 = x - 81

216.996 = x - 81

x = 216.996 + 81

x = 297.996

x is approximately 298 wins

Therefore, the number of wins for the Chicago White Sox for 2016 is approximately 298 wins

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