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.
put a 1 under the 13, so it is 13/1, and 5 5/6, turn it into an improper fraction by multiplying 5x6=30. then 30+5, which is 35. so just keep the denominator, which would be 35/6. so you would have 13/1 - 35/6. you need the same denominator, so see what both 1 and 6 would fit into. which is 6. so 13x6 which is 78, so 78/6 - 35/6, so 78-35 is 43. so 43/6, then simplify, which is 7 1/6
Answer:
Step-by-step explanation:
(5/6) itself is less than 1 (but greater than 0). Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.
For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.
1mi = 5280feet
The first thing you should do in this case is to calculate the perimeter of the rectangle which will be given by:
P = 2 * L + 2 * W
Where
L = long
W = width
Calculating we have:
P = 2 * (1/4) + 2 * (1/8)
P = 1/2 + 1/4
P = 3/4 mi
To calculate this distance to feet we have to use the following expression:
(3/4) / (x) = 1/5280
answer:
<span> B) 3/4 miles divided by x= 1 mile/5280ft
</span>
Answer:
40 + x = y
Just use the variables given to make an equation.
