Answer:
Step-by-step explanation:
For this case we want to find the density function for 
And we have the following density function for the random variable X:

So we can do this replacing 

If we apply square root on both sides we got:

And if we integrate we got this:
![F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}](https://tex.z-dn.net/?f=%20F_Y%20%28y%29%20%3D%20%5Bt%2B%20%5Cfrac%7Bt%5E2%7D%7B2%7D%5D%20%5CBig%7C_%7B-%5Csqrt%7By%7D%7D%5E0%2B%20%5Bt%20-%5Cfrac%7Bt%5E2%7D%7B2%7D%5D%20%5CBig%7C_%7B0%7D%5E%7B%5Csqrt%7By%7D%7D%20)
And replacing we got:
![F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]](https://tex.z-dn.net/?f=%20F_Y%20%28y%29%20%3D%20%5B0%20-%28-%5Csqrt%7By%7D%20%2B%5Cfrac%7By%7D%7B2%7D%29%5D%20%2B%20%5B%5Csqrt%7By%7D%20-%5Cfrac%7By%7D%7B2%7D%5D)

And if we want to find the density function we just need to derivate the pdf like this:
Answer:
AD = 15 cm , BD = 3 cm
Step-by-step explanation:
Δ ABC is similar to Δ ADE ( by the AA postulate )
then the ratios of corresponding sides are in proportion, that is
=
( substitute values )
=
( cross- multiply )
8 × AD = 12 × 10 = 120 ( divide both sides by 8 )
AD = 15 cm
AB + BD = AD , that is
12 + BD = 15 ( subtract 12 from both sides )
BD = 3 cm
hope its helps
Step-by-step explanation:
total area = 99m² + 39.4m²
= 138.4m²
Answer:1.78
Step-by-step explanation:
Answer: 20%
Step-by-step explanation: Basically you find the difference which is twelve, and put it over the original amount which is 60. You get 1/5 which in percent form is 20%