Answer:
1 * 10^12
Step-by-step explanation:
Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.
Same thing can be applied for 1,000,000 (one million).
1 * 10^6 because one million has 6 zeros appended to it.
Answer:
the probability of no defects in 10 feet of steel = 0.1353
Step-by-step explanation:
GIven that:
A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.
Let consider β to be the average value for defecting
So;
β = 2
Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.
Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2
i.e

the probability mass function can be represented as follows:

where;
y = 0,1,2,3 ...
Hence, the probability of no defects in 10 feet of steel
y = 0


P(y =0) = 0.1353
Answer:
time in weeks
Step-by-step explanation:
Answer:
∅ = 50°
Step-by-step explanation:
YOU NEED A CALCULATOR TO SOLVE THIS!
You need to use Law of Sines

Here you will be doing 
a and c are the lengths, while A and C are the angles
you want to get the denominators out from underneath so multiply both sides by sinA and sin43

Now you want to get sinA alone so divide both sides by 2.54
now get A alone
put that into the calculator

Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.

Divide both sides by 1/30 to get k alone.
and

Our model then is

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.