A culinary club earns $1350 from a dinner service. They sold 35 adult meals and 58 student meals. An adult meal costs $12 more t
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Answer:
See image and connect the lines using the coordinates.
Step-by-step explanation:
<u>Answer:</u>
A line passes through the two given points (5,2), (5,-2). The line is vertical line
<u>Solution:</u>
Given, two points are (5, 2) and (5, -2)
We have to find that a line that passes through the given two points is vertical or horizontal or neither.
First let us find the slope of the line that passes through given two points.
So, slope of line m
So slope of our line = undefined
Here slope of our line is undefined which means it is parallel to the y – axis.
Hence, line passing through given points is vertical line
Answer:
a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
Step-by-step explanation:
Binomial 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.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
To use the Poisson approximation for the binomial, we have that:
1 in every 2500 automobiles produced has a particular manufacturing defect.
This means that
a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.
This is when
. So
0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.
Using the approximation:
. So
0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.