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3 years ago

Write an appropriate direct variation equation if y = 27 when x = 9

Mathematics

2 answers:

lesantik [10]3 years ago

6 0

Answer: y=3x

Step-by-step explanation:

Yuri [45]3 years ago

4 0

Y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x

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2 years ago

Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. Find the range, variance, and standard de

soldi70 [24.7K]

Answer:

$Range= Max-Min= 10.2-8.7=1.5 inches$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 0.50 inches$

$s^2 = 0.503^2 = 0.25 in^2$

D. The statistics are representative because they are taken from a random sample

Step-by-step explanation:

For this case we have the following data:

9.9 8.7 10.1 9.2 9.2 9.9 10.1 9.4 9.1 9.3 10.2

The data was colledted from a random sample of people selected in 1988.

We can order the dataset on increasing way and we got:

8.7 9.1 9.2 9.2 9.3 9.4 9.9 9.9 10.1 10.1 10.2

The range is defined as $Range= Max-Min= 10.2-8.7=1.5 inches$

The mean is defined as:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}= 9.555 inches$

The standard deviation can be calculated with the following formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 0.50 inches$

The sample variance would be just the deviation squared:

$s^2 = 0.503^2 = 0.25 in^2$

And since the data comes from a random sample then is representative fo the population data in 1988. So then the best answer for this case would be:

D. The statistics are representative because they are taken from a random sample

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3 years ago