Answer:
<h2>3x + y = 1</h2>Step-by-step explanation:
A vehicle is rated by the epa at 22 mpg for city and 30 mpg for highway. How many gallons of gas would this vehicle use in 176 c
1 answer:
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Answer: 0.1824
Step-by-step explanation:
Given : The mileage per day is distributed normally with
Mean :
Standard deviation :
Let X be the random variable that represents the distance traveled by truck in one day .
Now, calculate the z-score :-
For x= 132 miles per day.
For x= 159 miles per day.
Now by using standard normal distribution table, the probability that a truck drives between 132 and 159 miles in a day will be :-
Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824
In solving this problem we can consider Earth to be a sphere. When we have a circle, then we can use this formula to find arc length:
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles