Answer:

Step-by-step explanation:
a. Given p=0.15.
-The mean of a sampling proportion of n=5000 is calculated as:

-The standard deviation is calculated using the formula:

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050
b. Given that p=0.15 and n=1000
#The mean of a sampling proportion of n=1000 is calculated as:

#-The standard deviation is calculated as follows:

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113
c. For p=0.15 and n=500
#The mean is calculated as follows:

#The standard deviation of the sample proportion is calculated as:

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160
75+37=112. 180-112=68. 68-7=61. 61/5=12.2. so x=12.2
Answer:
1. Substitute y = -3x +4 for y in the first equation
2. Combine like terms and isolate x
3. Substitute in x into the 2nd equation to get y
Step-by-step explanation:
1. Substitute y = -3x +4 for y in the first equation
2x- (-3x+4) = 6
2. Combine like terms
5x -4 = 6
5x -4 +4 = 6+4
5x=10 Divide by 5 to isolate x
5x/5 =10/5
x=2
3. Substitute in x into the 2nd equation to get y
y = -3x +4
y = -3(2) +4
y = -6+4
y=-2
(2,-2)
We are given a line segment with two points on each end. Rebecca draws two arcs with equal radius from each point. Now, the intersection of the two arcs is the midpoint of the line. This can be explained by the radius of the arcs. Since they are equal, meaning they have the same distance from each point. Thus, the midpoint of the line.