of the cars in a used car lot 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. what fraction of the cars in the water both gray and electrically powered? leave your answer and simplified fraction form.
To find the fraction of cars that are both gray and electrically powered, we need to multiply the fractions for the probability of being gray and electrically powered.
The fraction of gray cars is 2/5.
The fraction of electrically powered cars among the gray cars is 1/3.
Multiplying these fractions together, we get:
(2/5) * (1/3) = 2/15.
Therefore, the fraction of cars in the car lot that are both gray and electrically powered is 2/15.
To find the fraction of the cars in the lot that are both gray and electrically powered, we need to first find the fraction of cars that are gray and then find the fraction of gray cars that are electrically powered.
Fraction of cars that are gray: 2/5
Fraction of gray cars that are electrically powered: 1/3
To find the fraction of cars that are both gray and electrically powered, we multiply these fractions:
Fraction of cars that are gray and electrically powered:
(2/5) * (1/3) = 2/15
Therefore, the fraction of cars in the lot that are both gray and electrically powered is 2/15.
To find the fraction of cars in the used car lot that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and the proportion of electrically powered gray cars.
First, let's calculate the fraction of gray cars in the lot. We are given that 2/5 of the cars are gray.
Fraction of gray cars = 2/5
Next, we need to determine the fraction of gray cars that are electrically powered. We are given that 1/3 of the gray cars are electrically powered.
Fraction of electrically powered gray cars = 1/3
Now, to find the fraction of cars that are both gray and electrically powered, we multiply the two fractions:
Fraction of gray and electrically powered cars = (2/5) * (1/3)
To simplify this fraction, we multiply the numerators and denominators:
= (2 * 1) / (5 * 3)
= 2/15
Therefore, the fraction of cars in the used car lot that are both gray and electrically powered is 2/15.