Answer: The required probability is 0.25.
Step-by-step explanation:
Since we have given that
Radius of the dartboard = 4 in
Area of the dartboard is given by

Radius of the shaded region = 2 in
Area of shaded region is given by

So, the probability that the dart lands in the shaded circular region is given by

Hence, the required probability is 0.25.
I believe the answer is A.
Answer:
Plot each point, connect in the given order, add parallel line segments to those already there, take the coordinates of the intersection and record as answer.
a) (-1,3), (-1,2), (9,2)
b) (3,7), (5,7), (5,-3)
c) (-5,-5), (1,4), (4,2)
d) (-52,73), (96,73), (96,1483)
- Missing point (-52, 1483)
<em>See attached</em>
Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
Answer: A) $4.50 per ounce
Step-by-step explanation: All you do is divide 12.5 by 2.78. You should get 4.4964028777, which, when rounded up to the nearest cent, should equal $4.50
Hope you found this helpful!