Write the expressions as a difference and simplify it: 17x−13y+8 and 20x+6y.
1 answer:
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Answer:
0.0076 = 0.76% probability that all five plants emerged from treated seeds
Step-by-step explanation:
The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
6 + 6 = 12 seeds, which means that
6 treated, which means that
Five sprouted, which means that
What is the probability that all five plants emerged from treated seeds?
This is P(X = 5). So
0.0076 = 0.76% probability that all five plants emerged from treated seeds
After staring at this for a few seconds, I think the equation
is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.
Notice that
Then multiplying by -5, we have
so I believe [1] = -25, and [2] = 6.