Fran buys a shrub that has 12 branches. The shrub will grow 4 new branches everymonth. Use an equation to determine the total nu
1 answer:
Answer:
Let b be the number of branches that the shrub will have after m months, since the shrub has an initial amount of 12 branches and the shrub grows 4 new branches every month, then we can set the following equation:
Evaluating the above equation at m=7 we get:
Simplifying the above result we get that the shrub will have
branches after 7 months.
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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)
13.3x + 8.1 = 74.6
C. 5
