PLEASE HELP 20 POINTS
1 answer:
You might be interested in
Answer: 44 degrees
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.
Answer:
And the standard deviation for the random variable is given by:
And the distribution for the approximation is given by:
We can use the z score formula given by:
And using the complement rule we got:
And using the standard normal table we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want this probability:
Normal approximation
We need to check if we can use the normal approximation , the conditions are:
Since we satisfy both conditions the normal approximation makes sense
The expected value is given by this formula:
And the standard deviation for the random variable is given by:
And the distribution for the approximation is given by:
We can use the z score formula given by:
And using the complement rule we got:
And using the standard normal table we got: