The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 12, 17, 22, ... Find the 35th ter
1 answer:
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Answer:
a)
b)
c) We want to find a value c who satisfy this condition:
And using the cumulative distribution function we have this:
And solving for c we got:
Step-by-step explanation:
For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:
Part a
We want this probability:
And for this case we can use the cumulative distribution function given by:
And using the cumulative distribution function we got:
For the probability if we use the cumulative distribution function and the complement rule we got:
Part b
We want this probability:
And using the cdf we got:
Part c
We want to find a value c who satisfy this condition:
And using the cumulative distribution function we have this:
And solving for c we got:
Answer:
Step-by-step explanation:
The first thing we are going to do is to fill in the other angles that we need to solve this problem. You could find ALL of them but all of them isn't necessary. So looking at the obtuse angle next to the 35 degree angle...we know that those are supplementary so 180 - 35 = the obtuse angle in the small triangle. 180 - 35 = 145. Within the smaller triangle we have now the 145 and the 10, and since, by the Triangle Angle-Sum Theorem all the angles have to add up to equal 180, then 180 - (10 + 145) = the 3rd angle, so the third angle is 180 - 155 = 25. Now let's get to the problem. If I were you, I'd draw that out like I did to keep track of these angles cuz I'm going to name them by their degree. In order to find d, we need to first find the distance between d and the right angle. We'll call that x. The reference angle is 35, the side opposite that angle is 12 and the side we are looking for, x, is adjacent to that angle. So we will use the tan ratio to find x:
Isolating x:
so
x = 17.1377 m
Now we have everything we need to find d. We will use 25 degrees as our reference angle, and the side opposite it is 12 and the side adjacent to it is
d + 17.1377, so that is the tan ratio as well:
and simplifying a bit:
and a bit more:
d + 17.1377 = 25.73408 so
d = 8.59, rounded