60 / 5 = 12 miles per gallon
36 miles = 12 miles / gal * x gallons
divide by 12
36/12 =x gallons
3 =x
He needs 3 gallons
Answer:
a) 0.9964
b) 0.3040
Step-by-step explanation:
Given data:
standard deviation = $90,000
Mean sales price =$345,800
sample mean = $370,000
Total number of sample = 100
calculate z score for [/tex](\bar x = 370000)[/tex]
![z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Cbar%20x%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B370000%20-%20345800%7D%7B%5Cfrac%7B90000%7D%7B%5Csqrt%7B100%7D%7D%7D)
z = 2.689
P(x<370000) = P(Z<2.689)
FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964
B)
calculate z score for (\bar x = 350000)
![z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Cbar%20x%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B350000%20-%20345800%7D%7B%5Cfrac%7B90000%7D%7B%5Csqrt%7B100%7D%7D%7D)
z = 2.133
![P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)](https://tex.z-dn.net/?f=P%28350000%20%5Cleq%20%5Cbar%20x%20%5Cleq%20365000%29%20%3D%20P%280.467%20%5Cleq%20Z%5Cleq%202.133%29%20%3D%20P%28Z%5Cleq%202.133%29%20-%20P%28Z%5Cleq%200.467%29)
FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR
![P(Z\leq 2.133) = 0.9836](https://tex.z-dn.net/?f=P%28Z%5Cleq%202.133%29%20%3D%200.9836)
![P(Z\leq 0.467) = 0.6796](https://tex.z-dn.net/?f=P%28Z%5Cleq%200.467%29%20%3D%200.6796)
SO, = 0.9836 - 0.6796 = 0.3040
In exact form it would be 4/3
Answer:
x = 0
Step-by-step explanation:
The simplest form of 3/6 is 1/2 because 3 is half of 6