Step-by-step explanation:
here first you have to find the perimeter of square
given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....
now you have the radius of the circle so by applying the formula of area of circle the answer will be finded
Please follow
Answer:
Step-by-step explanation:
Given
See attachment
Required
Determine the slope of the line
From the attachment, we have the following points
and
The slope m is then calculated using:
Substitute values for the x's and y's
<em>Hence, the slope is 0</em>
Answer: p= 0.0532
Step-by-step explanation: from the question
u= population mean = 202.1
σ= population standard deviation = 24
n = sample size = 64.
Since the sample size is greater than 30 and the population standard deviation is known, then the z score is the appropriate to get the probabilistic value.
Z = (x - u) /(σ/√n)
Where x = sample mean.
At x = 204.5, we have the z score as
Z = 204.5 - 202.1/ (24/√64)
Z = 2.4/ (24/8)
Z = 2.4/ 3
Z = 0.8
At x = 205.1, we have the z score as
Z = 205.1 - 202.1/ (24/√64)
Z = 3/ (24/8)
Z = 3/3
Z = 1.
Since the distribution is normal, we compute the probability value attached to the z score using the z table.
Graphical illustration as attachment in the answer.
Note the area under the z score is the probability value of the z score.
As we can see, the area to the left of the shaded area is a, the shaded area is b and the area to the right of the shaded area is c
We have that
a + b + c = 1
Note, the table I'm using only gives area to the left of the distribution.
Area a
To get area a, we use a z score table whose area is to the left of the distribution.
At 0.8, according to the table the area left of 0.8 is 0.78814.
Area c
Area c is right of the distribution and our table is left of the distribution, but 1 - area to the left = area to the right ( since area to left + area to right =1).
Hence area to the left of 1.0 = 0.84134
Area c = 1 - 0.84134 = 0.15866.
Thus, a = 0.78814, c = 0.15866
a + b + c = 1
0.78814 + b + 0.15866 = 1
0.9468 + b = 1
b = 1 - 0.9468
b = 0.0532.
Hence the probability of random variable between 204.5 & 205.1 is 0.0532
