Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
2 - 1 + 5
= 6
Hope his help
Answer:
18 minutes
Step-by-step explanation:
It takes jose 2 minutes for 3 laps, so for 27 laps he would need 2*9 minutes.
Answer:
Explained below.
Step-by-step explanation:
(10)
The data set is:
S = {124, 94, 129, 109, 114}
The mean and standard deviation are:
![\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20x%3D%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20%5B124%2B94%2B...%2B114%5D%3D114%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28%20x-%5Cbar%20x%29%5E%7B2%7D%7D)
![=\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B5-1%7D%5Ctimes%20%5B%28124-114%29%5E%7B2%7D%2B%2894-114%29%5E%7B2%7D%2B...%2B%28114-114%29%5E%7B2%7D%5D%7D%5C%5C%3D%5Csqrt%7B%5Cfrac%7B750%7D%7B4%7D%7D%5C%5C%3D13.6931%5C%5C%5Capprox%2013.69)
The correct option is B.
(11)
According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.
So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.
The correct option is B.
(12)
Let the score be <em>X</em>.
Given:
μ = 100
σ = 26


The correct option is B.
(13)
Let <em>X</em> be the prices of a certain model of new homes.
Given: 
Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:

According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.
The correct option is D.
(14)
Compute the percentage of buyers who paid more than $154,800 as follows:


According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.
The correct option is D.
(15)
The <em>z</em>-score is given as follows:
