That’s hard lol but it’s angle 5 to the power of 7.t!$/&:
Answer:
Step-by-step explanation:
1) 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".
2) Solution to the problem
The probability in favor of the regulation based on the recent survey is:
![p = \frac{17}{25}=0.68](https://tex.z-dn.net/?f=%20p%20%3D%20%5Cfrac%7B17%7D%7B25%7D%3D0.68)
Let X the random variable of interest "Number of favor respondents about the regulation", 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:
And we want to find this probability:
If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is ![y = -4 x](https://tex.z-dn.net/?f=y%20%20%3D%20%20-4%20x)
Step-by-step explanation:
From the question we are told that
The line is ![y = \frac{1}{4} x + 8](https://tex.z-dn.net/?f=y%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20%20%2B%208)
The point is P(0,0 )
Generally the equation for a line is ![yn = mx + c](https://tex.z-dn.net/?f=yn%20%3D%20%20mx%20%20%2B%20c)
Now comparing this with the given equation we see that
![m =\frac{1}{4} = slope](https://tex.z-dn.net/?f=m%20%20%3D%5Cfrac%7B1%7D%7B4%7D%20%3D%20%20slope)
![C =8 = intercept](https://tex.z-dn.net/?f=C%20%20%3D8%20%20%3D%20%20intercept%20)
Generally the slope of the perpendicular to the given line is mathematically evaluated as
![m_1 = - \frac{1}{m}](https://tex.z-dn.net/?f=m_1%20%20%3D%20-%20%20%5Cfrac%7B1%7D%7Bm%7D)
=>
=>
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and
is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
![y = -4 x](https://tex.z-dn.net/?f=y%20%20%3D%20%20-4%20x)
Answer:
B
Step-by-step explanation:
![d \: = \frac{h}{24}](https://tex.z-dn.net/?f=d%20%5C%3A%20%20%3D%20%20%5Cfrac%7Bh%7D%7B24%7D%20)
![h \: = 24d](https://tex.z-dn.net/?f=h%20%5C%3A%20%20%3D%2024d)