<span>Find the inverse of the given function.
f(x) = -1/2√x + 3, x ≥ -3
I will have to assume that you meant f(x) = -(1/2)sqrt(x) + 3. If you actually meant f(x) = -(1/2)sqrt(x+3), then obviously the correct result would be different.
1. Replace "f(x)" by "y:" y </span>= -(1/2)sqrt(x) + 3
2. Interchange x and y: x = -(1/2)sqrt(y) + 3
3. Solve for y: x-3=-(1/2)sqrt(y), so that 2(3-x)= sqrt(y) and y=+sqrt(2[3-x])
4. Replace "y" with
-1
f (x) = sqrt(2[3-x])
Here, there are restrictions on x, since the domain of the sqrt function does not include - numbers. The domain here is (-infinity,3]
We have the following data:
Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6
We need to find the confidence level. For this first we need to find the z value.
The margin of error for a population proportion is given as:
Using the values, we get:
As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B
Answer:
see attached
Step-by-step explanation:
Perhaps the easiest way to do this is to draw the needed shape in the box, then locate it among the answer choices. Use the identifying features such as dot location and direction of arrow (or tail).
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Left-to-right, this is what you're trying to match:
- tail on the right, dot in the tail
- tail on the left, dot in the fin
- tail on the right, dot in the nose
- tail on the left, dot in the center
Answer:
9 6/8, 9 3/4. 9.75
Step-by-step explanation:
1 1/4 would equal 10/8 if she has 10 7/8 then you'd take 7/8 out of 10/8 which would leave you with 2/8 left which you'd take out of the whole number 10 which would leave you with 9 6/8
simplified answer is 9 3/4
or: 9.75