Answer:
The probability of hitting a single or a double is 1/5 or 20% or 20/100 or 0.2
Step-by-step explanation:
In probability, whenever we are to answer an ‘or’ question, we add up the probabilities involved.
The probability of hitting a single is 15%, that is same as 15/100 or just simply 0.15
The probability of hitting a double is 5%, that is simply 5/100 or just simply 0.05
The probability of hitting a single or a double = Probability of hitting a single + Probability of hitting a double = 0.15 + 0.05 = 0.20 or 20/100 or 1/5
The area is 3/8 yd².
Area = length x width
Given:
length = 3/4 yard
width = 1/2 yard
Area = 3/4 yd * 1/2 yd
Area = 3*1/4*2
Area = 3/8 yd²
In multiplying fractions, multiply the numerators, then, multiply the denominators. lastly, simplify the fraction. 3/8 yd² is already in its simplest form.
Answer:
22
Step-by-step explanation:
Range-find the largest number and subtract the smallest number from it
96-74
81ft(yd/3ft)*111ft(yd/3ft)*2in(yd/36in)=55.5 yd^3
So 55 1/2 cubic yards of topsoil are needed.
Answer:
- vertical scaling by a factor of 1/3 (compression)
- reflection over the y-axis
- horizontal scaling by a factor of 3 (expansion)
- translation left 1 unit
- translation up 3 units
Step-by-step explanation:
These are the transformations of interest:
g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k
g(x) = f(x) +k . . . . vertical translation by k units (upward)
g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis
g(x) = f(x-k) . . . . . horizontal translation to the right by k units
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Here, we have ...
g(x) = 1/3f(-1/3(x+1)) +3
The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:
- vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
- reflection over the y-axis . . . 1/3f(-x)
- horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
- translation left 1 unit . . . 1/3f(-1/3(x+1))
- translation up 3 units . . . 1/3f(-1/3(x+1)) +3
_____
<em>Additional comment</em>
The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.
The horizontal transformations could also be described as ...
- translation right 1/3 unit . . . f(x -1/3)
- reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)
The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.