Astudy was conducted of the trend in the design of social robots. in a random sample of 110 social robots, 65 were built with legs only, 20 were built with wheels only, 10 were built with both legs and wheels, and 15 were built with neither legs nor wheels. use the rule of complements to find the probability that a randomly selected social robot is designed with legs or without wheels.

The probability that a randomly selected social robot is designed with legs or without wheels is 0.72

Step-by-step explanation:

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1. To get the probability  equally likely  we use the following formula

P=# of possibilities that meet the condition / #of equally likely possibilities.

Our condition is that a randomly selected social robot is designed with legs or without wheels. Then,  the data that meet my condition is  65 robots were built with legs only +15 robots were built with neither legs nor wheels.

#of equally likely possibilities is the total number of robots

P=# of possibilities that meet the condition / #of equally likely possibilities.

P= (65+15)/110

P= 80/110=0,7272

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step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3