Answer:
b= -8
Step-by-step explanation:
we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4
=> 2y=4x + b
<=> 2(2x-4) = 4x +b
<=> 4x - 8= 4x +b
<=> b = -8
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
Answer:
First
Step-by-step explanation:
The first person in the line will always have an odd position, not an even one. They will be the only one left.
Answer:
The minimum sample size needed is 125.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

For this problem, we have that:

99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?
This minimum sample size is n.
n is found when 
So






Rounding up
The minimum sample size needed is 125.