*Describe the slopes + the y intercepts of the solutions:
2 answers:
if you are talking about 2 linear equations and
1. 1 solution: means they intersect at one point meaning that they can't be paralell meaning slopes must be different. y-intercepts are irrelevant
slopes: different
y-ints: whatver you want, doesn't matter
2. many solutions usually means they are shte same line
so their sloeps and y-intercepts are the same
slopes: same
y-ints: same
3. undefined means tehy don't intersect meaning they are paralell meaning they have same slopes but different y-intercepts
slopes: same
y-ints: different
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Answer:
17.5%
Step-by-step explanation:
First of all, see this situation as a cumulative binomial distribution. You have isolated trials with a probability of success. This makes it binomial. The wording of the question "what is the probability of at least half..." makes this cumulative.
There are a few ways to calculate this, and I'm not quite sure which way you're familiar with. I'll show the cumbersome way and use wolfram to make the calculation.
First, I'll calculate the probability for 15 success, given 30 trials.
30c15*0.4^15*0.6^15
Since the question asks for the probability of at least 15 success, I'll have to make a calculation for the probability of 16 successes, then 17, and so on. Then I'll have to add all the probabilities together. So, I'll use wolfram for that (see attached)
