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Oksi-84 [34.3K]

3 years ago

7

Please help with this

2 answers:

lora16 [44]3 years ago

6 0

Answer: a, a linear equation

sveticcg [70]3 years ago

5 0

It should be B or C

Step-by-step explanation:

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Determine the next three terms in the following sequence:<br><br><br>____, ____, ____,...<br><br>

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Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92

mash [69]

Answer:

$S.D = 15.98$

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

$Mean = \frac {\sum x}{n}$

Where x-> 76,45,64,80,92 and n = 5

$Mean = \frac {76+45+64+80+92}{5}$

$Mean = \frac{357}{5}$

$Mean = 71.4$

Subtract Mean (71.4) from each of the given data

$76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6$

Determine the absolute value of the above result

$|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6$

Square Individual Result

$4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36$

Calculate the mean of the above result to give the variance

$Mean = \frac {\sum x}{n}$

$Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298$

Hence, Variance = 255.298

Standard Deviation is calculated by $\sqrt{Var}$

$SD = \sqrt{255.298}$

$S.D = 15.9780474402$

$S.D = 15.98 (Approximated)$

6 0

3 years ago

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2? The graph mov

alexandr402 [8]

Answer:

Third option: The graph moves left 18 units.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is shifted up "k" units.

If $f(x)-k$ , the function is shifted down "k" units.

If $f(x+k)$ , the function is shifted left "k" units.

If $f(x-k)$ , the function is shifted right "k" units.

In this case, we can observe that graph of $y = (x - 9)^2$ is changed to $y = (x + 9)^2$

Since:

$-9+18=9$

We can conclude that the function $y = (x - 9)^2$ is shifted left 18 units to get the function $y = (x + 9)^2$ .

3 0

2 years ago

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