Answer:
a. 19.68 miles per gallon.
b. 26.32 miles per gallon.
Step-by-step explanation:
Mean gas mileage (μ) = 23.0 mpg
Standard deviation (σ) = 4.9 mpg
In a normal distribution, for any length X, the z-score is determined by the following expression:
![z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677
a. The first quartile of the distribution of gas mileage is
![-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg](https://tex.z-dn.net/?f=-0.677%3D%5Cfrac%7BX_%7B25%7D-23%7D%7B4.9%7D%5C%5CX_%7B25%7D%3D19.68%5C%20mpg)
19.68 miles per gallon.
b. The third quartile of the distribution of gas mileage is
![0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg](https://tex.z-dn.net/?f=0.677%3D%5Cfrac%7BX_%7B25%7D-23%7D%7B4.9%7D%5C%5CX_%7B25%7D%3D26.32%5C%20mpg)
26.32 miles per gallon.
$72.60 * 20 = $14.52
$72.60 * .08 = $5.81
$72.60 + $14.52 +$5.81 = $92.93
Answer:
see explanation
Step-by-step explanation:
We require 2 equations with the recurring part after the decimal point.
Let x = 0.555..... → (1)
Multiply both sides by 10, then
10x = 5.555..... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
(10x - x) = (5.5555 - 0.5555 ), that is
9x = 5 ( divide both sides by 9 )
x = ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Answer:
A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
Step-by-step explanation:
I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.
<span>a whole number between 42.3 and 43.1 = 43
so answer
</span><span>q = 43.0</span>