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Elena-2011 [213]

2 years ago

14

This unit, you have learned several formulas and equations. Match the formula or equation with what the answer represents.

1 answer:

Sedbober [7]2 years ago

6 0

Answer:

.

Step-by-step explanation:

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The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.09 and a standard deviatio

WINSTONCH [101]

Answer:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 4.09$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02$

So the best answer for this case would be:

$\bar X \sim N (4.09, \frac{0.08}{\sqrt{16}}= 0.02)$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the costs of unleaded gasoline of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.09,0.08)$

Where $\mu=4.09$ and $\sigma=0.08$

We select a sample size of n =16. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 4.09$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02$

So the best answer for this case would be:

$\bar X \sim N (4.09, \frac{0.08}{\sqrt{16}}= 0.02)$

3 0

2 years ago

Which graph represents the function f(x)=

zhenek [66]

Step-by-step explanation:

you don't show us the choices.

anyway, the real graph must be similar to the one you are showing, as it goes to - and + infinity for x = 2.

because the denominator "x-2" will be 0 for x = 2.

but the horizontal limits are both y = +3 (and not 0).

because (3x-2)/(x-2) goes more and more to 3/1 the larger (or smaller in the - direction) x gets.

7 0

1 year ago

What is the Measure of 3 ?

Andrews [41]

42%. It is opposite angles to the angel that says 42

5 0

2 years ago

bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li

Mrrafil [7]

Answer:

$y=-3,250t+25,000$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

so

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

<em>Find the slope m</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{t2-t1}$

substitute the values

$m=\frac{12,000-25,000}{4-0}$

$m=\frac{-13,000}{4}$

$m=-\$3,250\ per\ year$ ---> is negative because is a decreasing function

we have

$b=\$25,000$ ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

$y=-3,250t+25,000$

3 0

2 years ago

Read 2 more answers

6) Evaluate for x = 3:<br> 3•4x/2

Nikolay [14]

Answer:

18

Step-by-step explanation:

3×4(x)/2

Plug in 3 to x

3×4(3)/2

3×12/2

36/2

18

5 0

2 years ago