A ball bounces several times after it is dropped. The graph shows the height of the ball over time.
2 answers:
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Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we have
we know that
The radicand must be greater than or equal to zero
so
solve for x
Adds 3 both sides
Multiply by -1 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The domain of the function is the interval (-∞,-3]
For x=-3 ---> the value of y=0
The range is the interval {0,∞)
therefore
The graph in the attached figure
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)
