Absolute value can never be negative
Absolute value: | |
| 1 | ( ) 5
1 ( ) 5
1 < 5
Hope this helped:)
Answer:
Average rate of change = 2
Step-by-step explanation:
We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.
From graph we see that y=-3 when x=-4, So the point is (-4,-3)
From graph we see that y=3 when x=-1, So the point is (-1,3)
Now we can plug these points into average rate of change formula:

where (a,f(a)) and (b,f(b)) are the given points.




Hence final answer is 2.
Answer:

Step-by-step explanation:
This can be solved with Pythagreon Thereom.

Follow the steps below. A and B are the heaight an base, C is they hypotonuese.

Answer:
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
Step-by-step explanation:
Confidence interval:
We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.
48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.
48 - 3.5 = 44.5%.
48 + 3.5 = 51.5%.
Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.
Answer:
3 ounces of medication to be added to get 20%solution of medication
Step-by-step explanation:
To find:
The amount of medication to be added to 12 ounces of water to get a 20% solution
Let the amount of medication to be added =x
So total amount of mixture = amount of water + amount of medication
= 12+x
% medication = (amount of medication÷total amount of the mixture)× 100
Therefore
% medication =( x÷12+x)×100
20 =( x÷12+x)×100
X 100
20(12+x) =100x
240+20x =100x
100x-20x =240
80x =240
x =240÷80
x=3
so 3 ounces of medication to be added to get 20%solution of medication