The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin
ear model that predicts the race time (y) of a man of any age (x). Which equation represents this linear model?
a.y=0.47+ 7.72
b.y=0.47+29.15
c.2.146X-27.57
d.2.14X-2.07
a.y=0.47+ 7.72
b.y=0.47+29.15
c.2.146X-27.57
d.2.14X-2.07
2 answers:
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Answer:
The correct option is (A).
Step-by-step explanation:
Let <em>X</em> = number of orange milk chocolate M&M’s.
The proportion of orange milk chocolate M&M’s is, <em>p</em> = 0.20.
The number of candies in a small bag of milk chocolate M&M’s is, <em>n</em> = 55.
The event of an milk chocolate M&M being orange is independent of the other candies.
The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 55 and <em>p</em> = 0.20.
The expected value of a Binomial random variable is:
Compute the expected number of orange milk chocolate M&M’s in a bag of 55 candies as follows:
It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.
This proportion is not surprising.
This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.
All unusual events have a very low probability, i.e. less than 0.05.
Compute the probability of P (X ≥ 14) as follows:
The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.
This probability is quite larger than 0.05.
Thus, the correct option is (A).
Answer:
y''=-1.26
Step-by-step explanation:
We are given that
We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.
Differentiate w.r.t x
Then , we get
Again differentiate w.r.t.x
Then , we get
Using value of y'
Substitute x=2 and y=3
Then, we get
Hence,y''=-1.26