180
×.30
Is equals to 540
Remove the 0 and the answer is 54 miles.
Division is basically
x divided by y=x/y so
18 divided by 2/3=
![\frac{18}{ \frac{2}{3} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B18%7D%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20)
we want the bottom number to be =1 so we multiply 2/3 by 3/2 to make it 1 (or 6/6=1), but we have to multiply the top number by 3/2 also so that we don't change the fraction and make our work useless so
![\frac{18}{ \frac{2}{3} } times \frac{ \frac{3}{2} }{ \frac{3}{2} } = \frac{ \frac{54}{2} }{ \frac{6}{6} }= \frac{27}{1}=27](https://tex.z-dn.net/?f=%20%5Cfrac%7B18%7D%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20times%20%20%5Cfrac%7B%20%5Cfrac%7B3%7D%7B2%7D%20%7D%7B%20%5Cfrac%7B3%7D%7B2%7D%20%7D%20%3D%20%5Cfrac%7B%20%5Cfrac%7B54%7D%7B2%7D%20%7D%7B%20%5Cfrac%7B6%7D%7B6%7D%20%7D%3D%20%5Cfrac%7B27%7D%7B1%7D%3D27%20%20)
the answe ris 27
Answer:
Interval [16.34 , 21.43]
Step-by-step explanation:
First step. <u>Calculate the mean</u>
![\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666](https://tex.z-dn.net/?f=%5Cbar%20X%3D%5Cfrac%7B%2823%2B18%2B23%2B12%2B13%2B23%29%7D%7B6%7D%3D18.666)
Second step. <u>Calculate the standard deviation</u>
![\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}](https://tex.z-dn.net/?f=%5Csigma%20%3D%5Csqrt%7B%5Cfrac%7B%2823-18.666%29%5E2%2B%2818-18.666%29%5E2%2B%2823-18.666%29%5E2%2B%2812-18.666%29%5E2%2B%2813-18.666%29%5E2%2B%2823-18.666%29%5E2%7D%7B6%7D%7D)
![\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%5Cfrac%7B18.783%2B0.443%2B18.783%2B44.435%2B5.666%2B18.783%7D%7B6%7D)
![\sigma=\sqrt{17.815}=4.22](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B17.815%7D%3D4.22)
As the number of data is less than 30, we must use the t-table to find the interval of confidence.
We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).
We must then choose t = 1.476 (see attachment)
Now, we use the formula that gives us the end points of the required interval
![\bar X \pm t\frac{\sigma}{\sqrt n}](https://tex.z-dn.net/?f=%5Cbar%20X%20%5Cpm%20t%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%20n%7D)
where n is the number of observations.
The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43
Step-by-step explanation:
38.43 - 1.29x
Variable x represents the number of songs purchased
Not sure why this question didn't save the answer I just wrote (I'm new to the app)