Answer:
The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
As the sample size is large, i.e. <em>n</em> = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.
Compute the value of as follows:
Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.
David went about 7.94 miles east for they to be 13 miles apart.
Distance
The distance between two points is the amount of separation between the points.
Let O represent the starting point, D for David endpoint and J for John end point.
Using Pythagoras:
OJ² = 4² + 3²
OJ = 5 miles
OD + OJ = 13
OD = 8 miles
Using Pythagoras:
8² = 1² + East²
East = 7.94 miles
David went about 7.94 miles east for they to be 13 miles apart.
Find out more on distance at: brainly.com/question/24775607
Answer:
D: Divide both sides by 2 to solve for x
Step-by-step explanation:
Answer:
12.5 inches
Step-by-step explanation:
Given the equation for the cross section of a parabolic satellite TV dish:
y=1/50x^2
Equation of a parabola :
(y - k) = 1/4p * (x - h)^2
Distance of the focus from the Vertex = p
Comparing both equations :
1/4p * (x - h)^2 = 1/50 * x^2
4p = 50
Divide both sides by 4
4p/4 = 50/4
p = 12.5 inches