Graph needs to be labeled. I labeled it as shown on picture. It also needs a title. The title can be up to you. :) you can title it “Karen riding her bike”
Please help
2 answers:
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Not sure why such an old question is showing up on my feed...
Anyway, let
and 
. Then we want to find the exact value of 
.
Use the angle difference identity:
and right away we find
. By the Pythagorean theorem, we also find 
. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)
Meanwhile, if
, then (by Pythagorean theorem) 
, so 
. And from this, 
.
So,
Anyway, let
Use the angle difference identity:
and right away we find
Meanwhile, if
So,
Answer:
a) 0.1423
b) 0.2977
c) 0.56
Step-by-step explanation:
For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
13 percent of the drivers stopped for speeding have invalid licenses.
This means that
14 drivers are stopped
This means that
(a) None will have an invalid license.
This is
(b) Exactly one will have an invalid license.
This is
(c) At least 2 will have invalid licenses.
Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is
We want
So
In which