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Tanzania [10]
3 years ago
5

The rule for a pattern is add 6. The first term is 5. Write the first five terms in a pattern

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0
5, 11, 17, 23, 28

Just start with 5 and add 6 every time.
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a) 97.1\% b) 13.6\%  c) 772 \:calories

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\mu=1071,\:\sigma=301

1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%,  2 and 68%, 1 standard deviation from the mean.

As you can see in the graph.

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We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.

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68\%=(\mu-2\sigma,\mu+2\sigma)=(1071-2(301), 1071+2(301)=(469,1672)

But the question wants to know more than 469 calories, then13.6\%+34\%+34\%+13.6\%+2.1\%=97.1\%\\

b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?

Check the graph below

This percentage is the interval, which is a quarter of that 95%

(\mu +\sigma,\mu+2\sigma)=(1372,1673)=\frac{95\%}{4}=13.6\%

c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Since we're dealing with a Normal Curve, then to find the 16th percentile we need:

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.Z\: score=-0.994\\\\(-0.994)*301=-299.194\\-299.194+\mu \Rightarrow -299.194+1071=771.806\approx772

We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.

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