Answer:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
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 z-score that has a p-value of 
.
Out of 100 people sampled, 42 had kids.
This means that 
99% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
Answer:
4
Step-by-step explanation:
Essentially, you're going to want to reverse the steps on x in order to isolate it from the rest of the variables. To do this, perform inverse operations on x. The first one of these is the multiplication of x and m, so divide both sides by m to cancel m out on the right side. Now we have y/m = x + b. The final thing to do in order to isolate x is to subtract b from both sides. This yields us y/m - b = x. This can be rearranged into x = y/m - b, which should be your answer.
1+1=2
You should know this by now....
Hey there! :)
Answer:
Length = 24 meters.
Width = 8 meters.
Step-by-step explanation:
Recall that to find the area of a rectangle, the formula is as shown:
A = l × w
In this case, the length is 3 times the length of the width, or 3 : 1.
Let w = width, and
3w = length.
Find the value of w by plugging in these values into the equation:
192 = 3w · w
192 = 3w²
Divide both sides by 3:
64 = w²
Square root both sides:
w = 8 meters. This is the width.
The length is equivalent to 3w, so:
3(8) = 24 meters.
