Answer:
C. Decreases the margin of error and hence increases the precision
Step-by-step explanation:
If we select a sample by Simple Random Sampling in a population of “infinite” size (a population so large that we do not know its size exactly), then the margin of error is given by
where
<em>Z = The Z-score corresponding to the confidence level
</em>
<em>S = The estimated standard deviation of the population
</em>
<em>n = the size of the sample.
</em>
As we can see, since n is in the denominator of the fraction and the numerator is kept constant, the larger the sample size the smaller the margin of error, so the correct choice is:
C. Decreases the margin of error and hence increases the precision
First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9
therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26
Answer:
x= -674
Step-by-step explanation:
Solve for x and check: x + 5 = 3
Solution
Solve for x and check: - 3x = 12
Dividing each side by -3, we obtain
Another way of solving the equation
3x - 4 = 7x + 8
would be to first subtract 3x from both sides obtaining
-4 = 4x + 8,
then subtract 8 from both sides and get
-12 = 4x.
Now divide both sides by 4 obtaining
- 3 = x or x = - 3
Solve for c: 3(x + c) - 4y = 2x - 5c
First remove parentheses.
Remember, abx is the same as 1abx.
We divide by the coefficient of x, which in this case is ab.
Answer
Factoring is the best way to find the solutions of the equation because 5x^2 – 2x – 6 = 0 can be factored easily.
Step-by-step explanation: