Answer:
3.2537496e+30
Step-by-step explanation:
When solving this problem, you need to imagine the diagonal line through the rectangle. This makes two triangles which you can use the pythagorean theorem for. 12 squares plus 48 squared equals 2,448. Find the square root of that at it will be your answer (I don’t have the time to figure it out). 11 squared plus 60 squared is 3,712. Square root tbd... add the label and you’re finished!
I believe this question is missing an image. However, I will just tell how how to solve such question and you can apply this solution to the triangle you have.
In any given triangle, the sum of the measure of the three angles must be equal to 180 degrees.
Therefore, for a triangle pqr:
measure angle pqr + measure angle prq + measure angle rqp = 180 degrees
If you have one angle given, then the sum of the other two angles will be equal to 180 - measure of the given angle.
If you have two angles given, then the measure of the third angle will be equal to 180 - the sum of the other two angles.
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.
