Answer:
700 lbs and 3.742
Step-by-step explanation:
Given that raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.02 particle per pound.
a) To get 14 particles of contamination we must have
expected number of pounds = 
b) Since for 700 pounds particles expected are 14 we can say in a Poisson distribution mean and variance are equal
i.e. Var (700 lbs to obtain 14 particles of contamination ) = 14
Std deviation =
Answer:
though this looks difficult. It's easier than you think. Just not visible until its visible. If I knew the answer, i would have told you... sorry.
Answer:
90
Step-by-step explanation:
they are vertical angles
Picture a right triangle whose hypotenuse is of unknown length. Let's call that length L. The triangle side opposite the 70 degree angle is then 20 feet. I'd suggest you actually draw this triangle.
Then, using the definition of the sine function,
sin 70 deg = opp / hyp = (20 ft) / L. Transforming this equation, L sin 70 deg = 20 ft. Solving for L:
L = (20 ft) / (sin 70 deg) = 21.28 ft
The ladder length must be 21.28 ft.