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musickatia [10]

3 years ago

8

A sample of values has a mean of 500.0 and a standard deviation of 50.0. use the range rule of thumb to find estimates for the m

inimum and maximum "usual" values.

1 answer:

leonid [27]3 years ago

7 0

<span>The Range Rule of Thumb says that the range is about four times the standard deviation. (i.e. two standard deviations to the left and two standard deviations to the right of the mean).

Given that the mean is 500 and the standard deviation is 50, then

The minimum and the maximum "usual" values are given by

$500\pm2(50)=500\pm100 \\ \\ =(500-100,\ 500+100)=(400,\ 600)$

Therefore, the minimun "usual" value is 400 while the maximum "usual" value is 600.
</span>

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The price of a video game was reduced from $70.00 to $40.00. By what percentage of the price was was the videogame reduced? Just

olya-2409 [2.1K]

Answer:

42.86%.

Step-by-step explanation:

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Reduction in percentage = ($30.00 ÷ $70.00) x 100 = 42.86%

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8 0

4 years ago

Read 2 more answers

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nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

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3 years ago

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<em>Option C.</em>

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Answer:

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4 years ago