The circumference of each of the smaller circles is 12 mm. Find the area of the shaded region.
1 answer:
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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.
Answer:
a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.
b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.
Step-by-step explanation:
Given : The expected number of typographical errors on a page of a certain magazine is 0.2.
To find : What is the probability that an article of 10 pages contains
(a) 0 and (b) 2 or more typographical errors?
Solution :
Applying Poisson distribution,
where, n is the number of words in a page
and p is the probability of every word with typographical errors.
Here, n=10 and E(N)=np=0.2
a) The probability that an article of 10 pages contains 0 typographical errors.
Substitute r=0 in formula,
The probability that an article of 10 pages contains 0 typographical errors is 0.8187.
b) The probability that an article of 10 pages contains 2 or more typographical errors.
Substitute in formula,
The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.