Use Conects it got all the math questions n got the answer to questions ahead of the one u looking for
Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:

(b)
Compute the variance of X as follows:

(c)
Compute the value of P(X < 3.7) as follows:
![P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898](https://tex.z-dn.net/?f=P%28X%20%3C%203.7%29%3D%5Cint%5Climits%5E%7B3.7%7D_%7B1.3%7D%7B%5Cfrac%7B1%7D%7B6.2-1.3%7D%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4.9%7D%5Ctimes%20%5Bx%5D%5E%7B3.7%7D_%7B1.3%7D%5C%5C%5C%5C%3D%5Cfrac%7B3.7-1.3%7D%7B4.9%7D%5C%5C%5C%5C%5Capprox%200.4898)
Thus, the value of P(X < 3.7) is 0.4898.
A. x + 5
According to the table, the function is shifted up 5 units.
The perimeter is the sum of side lengths. Opposite sides of a rectangle are the same length, so the perimeter is
P = 11 +43 5/12 +11 +43 5/12
= 2(11 +43 5/12)
= 2(54 5/12)
P = 108 5/6 . . . . feet
The area is the product of length and width. It doesn't matter which of the given dimensions you consider length or width, since you multiply them either way.
A = 11 * 43 5/12
= 473 +55/12
A = 477 7/12 . . . . square feet
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