Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40 pounds per square inch (psi). let x denote the actual air pressure for the right tire and y denote the actual air pressure for the left tire. suppose that x and y are random variables with the joint density function f(x, y) = k(x2 + y2), 30 ≤ x < 50, 30 ≤ y < 50, 0, elsewhere. (a) find k. (b) find p(30 ≤ x ≤ 40 and 40 ≤y < 50). (c) find the probability that both tires are underfilled

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

what is the original number? you forgot to add it.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)