50 points!
1 answer:
Answer:
Attaching answer for 1 below!!
2. C. -- y=2x+9
3. B. -- y=5/3x+3
Step-by-step explanation:
1. First screenshot below
2. To convert standard equations (Ax+By=C) to slope intercept (y=mx+b), what you do is preform inverse operations on A to both sides (modeled below). Then, the equation will look like this; By= -Ax+C. The last thing you need to do to cancel out B from the y is divide both sides by B, and you'll have your answer. So, I did that exact process with the equation and that's how I got C. Now, when you have no number next to the y, you don't need to divide, so it's a very simple process that way.
-2x+y=9
+2 +2
3. Same process for 2, except this time we divided by 3.
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The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
<h3>What is theoretical probability?</h3>Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.
Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.
Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.
- The total number of names are 5.
- The total number of names chosen are 4.
The total number of ways 4 names can be taken out from 5 names is,
.
Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.
Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is
.
The theoretical probability that Chandra will be chosen as one of the science fair participants is,
Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
Learn more about the theoretical probability here;
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