8x5 equals 40. thx for the points
Answer: D. segment
Step-by-step explanation: c
Y+5=m(x-3), or y=mx-3m-5, satisfies Equation 1. But Equation 1 and Equation 2 are satisfied when y-7=n(x+1).
(-1,7) is graphically represented by the intersection of 2 lines. So Equation 1 must pass through (-1,7) and (3,-5). The slope is (-5-7)/(3-(-1))=-12/4=-3=m, so y=-3x+4.
Equation 2 is y=x+8 when n=1 (arbitrary choice). Note that m is not equal to n.
A typical example of the required system is Eqn 1: y=-3x+4 and Eqn 2: y=x+8.
Pet show has stations for each animal. There are 5 rabbits, 7 cats, 8 dogs, and 4 hamsters.
1. How many cats need to be added to make the probability 1/2.
For the probability to be 1/2, we need there to be 1 cat for every 2 animals. There are 5+8+4 = 17 other animals besides cats so we need to increase the amount of cats to 17 so that it is 1/2 of the total. We already have 7 so we need 17-7 = 10 more cats.
2. Assume we added the cats. What's the probability of picking a dog?
Since we added the cats, the total number of animals is now 17+17 = 34
There are 8 dogs, so the probability of picking a dog will be 8/34 which will reduce to 8/34 = 4/17 (you will pick 4 dogs every 17 attempts).
3. No more animals added. What is the probability of picking a rabbit or hamster?
Total rabbits and hamsters is 5+4 = 9 so there is a 9/34 chance of picking a rabbit or hamster. (you will pick a rabbit or hamster 9/34 attempts).
4. What is the probability of NOT picking a goldfish?
Be careful here... the question is what is the probability that you won't pick a goldfish? Well there are no goldfish, so there is a 34/34 (100%) chance that you won't pick a goldfish. You will NOT pick a goldfish 34 out of 34 times.
