628.319 rounded to the nearest tenth
2 answers:
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Answer:
a) correct option is
Poisson distribution is 6.2 and standard deviation is 2.49
b) probability for only 2 or less than 2 surgeries in a given day is 0.0536
Step-by-step explanation:
Given data:
mean number is given as 6.2
correct option is
Poisson distribution is 6.2 and standard deviation is 2.49
we know that variance is given as
hence, standard deviation is given as
thus standard deviation is 2.49
correct option is
Poisson distribution is 6.2 and standard deviation is 2.49
b) probability for only 2 or less than 2 surgeries in a given day is
= 0.002029 + 0.012582+ 0.039006
= 0.053617
= 0.0536
The length of the rectangle = 16 meters
The width of the rectangle = 10.5 meters
<u>Step-by-step explanation</u>:
Given that,
The Area of the rectangle is 273.
<u><em>Step 1</em></u><em> :</em>
Let, the width of the rectangle be 'x'
The length of the rectangle is 2x - 5
<u><em>Step 2</em></u><em> :</em>
Area of the rectangle = length width
273 = (2x - 5) x
273 = 2x^2 - 5x
<u><em>Step 3</em></u><em> :</em>
The equation formed is 2x^2 - 5x -273 = 0
a= coefficient of x^2 = 2
b= coefficient of x = -5
c = constant = -273
Find the roots of the equation, to find the width.
<u><em>Step 4</em></u><em> :</em>
Find the roots using factorizing method,
ac = 2-273 = -546 and b= -5
Factorizing -546 as -2621
The product of -2621 = -546
The sum of -26 + 21 = -5
<u><em>Step 5</em></u><em> :</em>
The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2
The values of x are x= -13 and x= 10.5
Since the width cannot be a negative value, neglect x= -13
<u><em>Step 6</em></u><em> :</em>
Therefore,
The width of the rectangle = 10.5 meters
The length of the rectangle = 2x-5
= 2(10.5) - 5
= 21 - 5
length = 16 meters