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3 years ago

F(x) = 3(0.09)X6

Mathematics

2 answers:

Lilit [14]3 years ago

4 0

Answer: The y-intercept is 22 spaces higher.

Step-by-step explanation: Given function is .

And transformed function equation .

We can see 22 is being added to the given function f(x) to get the transformed function.

Note: According to transformation rule, y = f(x) +k shift k units up.

22 is being added to the original function. So, function would shift 22 units up that is y-intercept is 22 spaces higher.

Therefore , correct option is : The y-intercept is 22 spaces higher.

Leto [7]3 years ago

3 0

Answer:

the y-intercept is 22 spaces higher.

Step-by-step explanation:

Since f(x) = y, when f(x) is increased 22 spaces, it goes upward on the y-axis 22 spaces.

I hope this helps!

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A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

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The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

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First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

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