Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit t
he coordinate grid at (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6). Which equation best approximates the line of best fit of the darts? y = 0.6x + 0.6 y = 0.1x + 0.8 y = 0.8x + 0.1 y = 0.5x + 0.6
2 answers:
Solution:
The points at which Raquel Darts hit the coordinate grid having center at the origin are (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6).
As we can see that not all points are collinear.
As line of best fit is the the line which passes through some points , may be not through the single point, or all the points.
Plotting all the options on coordinate grid i.e on a scatter plot and then determining , the line of best fit of the darts is
y= 0.6 x + 0.6 →→Option (A), the reason being it passes through a point (9,6).
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Answer:
24/49
Step-by-step explanation:
Let's add the terms and see if there's a pattern
Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...
Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...
Answer:
a)
b)
c)
d)
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
Solution to the problem
For this case we have that X is represented by the following distribution:
Is important to remember that th cumulative distribution for X is given by:
Part a
For this case we want this probability:
And using the cumulative distribution function we have this:
Part b
Since we want the probability that the man exceeds the mean by more than 2 deviations
For this case the mean is given by:
And by properties the deviation is the same value
So then 2 deviations correspond to 2*74.516=149.03
And the want this probability:
And we can find this probability using the complement rule:
Part c
For the median we need to find a value of m such that:
If we use the cumulative distribution function we got:
And if we solve for m we got this:
If we apply natural log on both sides we got:
Part d
For this case we have this equation:
If we apply the cumulative distribution function we got:
If w solve for a we can do this:
Using natural log on btoh sides we got:
The ratio is 2 : 9
Step-by-step explanation:
Given:
The number of sports store = 4
The number of clothing store = 9
The number of jewellery stores = 5
To Find :
The ratio of number of sports stores to the total number of stores
Solution:
The ratio of number of sports stores to the total number of stores
=
The total number of stores = number of sports store + number of clothing store + number of jewellery store
The total number of stores = 4 + 9 + 5
The total number of stores = 18
Now the ratio is
= or 4 : 8
The ratio after reduction is
= or 2 : 9 or 2 to 9