Answer:
The sample size suggested by this statement is of at least 4145.
Step-by-step explanation:
This statement states that the 99% confidence interval has a margin of error of 2 percentage points.
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:
99% confidence level:
So 
, z is the value of Z that has a pvalue of 
, so 
.
Find the sample size suggested by this statement.
The sample size is at least n.
n is found when M = 0.02.
We don't know the true proportion, so we use 
, which is when the largest sample size will be needed.
Rounding up
The sample size suggested by this statement is of at least 4145.
Answer:
The answer is y = 7/x -6.
Step-by-step explanation:
A linear function is one where x and y are both to the first power. Using this knowledge, let's look at the options that we are given.
y = 4x + 9
In the above equation, both x and y are raised to the first power, so we know that this equation is linear.
y = 7/x - 6
In the above equation, y is raised to the first power, but x is not. Since x is in the denominator of a fraction, it actually has a power of -1, which makes this equation nonlinear.
y = x - 6/7
In the above equation, both x and y are raised to the first power, making the equation linear.
Therefore, the correct choice is y =7/x - 6.
Hope this helps!
Answer:
Only one solution
Step-by-step explanation:
Given that there is a coordinate plane (say xy)
Two lines are given.
One line crosses the y axis at 3 and has a slope of negative 1.
hence equation of I line is y = -x+3
The other line crosses the y axis at 3 and has a slope of two thirds.
So equation is y = 2x/3 +3
Since the two lines lie in the same plane and are having different slopes, they intersect at one point.
Eliminate y to get
-x+3=2x/3+3
Or x=0
y=3
Hence solutionis (0,3) for the system.
1) 2x+1x= 63
2) 3x= 63
3) 3x/3= 63/3
4) x= 21
5) 2(21)+1(21)=63
6) 42+21= 63
The 2 groups would be 42 to 21.
