Why can't the graphing calculator be used to solve (or approximate solutions to) all polynomial equations?
1 answer:
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Answer:
0.1587
Step-by-step explanation:
Let X be the commuting time for the student. We know that . Then, the normal probability density function for the random variable X is given by
. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,
= 0.1587
To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)
Because the two angles on the right add to 180 degrees, we can create this system:
We can also prove that
, which, when solved, shows that 
.
When plugged in to the original equation, we find that y = 105 degrees.
We can also prove that
When plugged in to the original equation, we find that y = 105 degrees.