Answer:
Step-by-step explanation:
a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as
Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}
where
p1 = sample proportion of population 1
p2 = sample proportion of population 2
n1 = number of samples in population 1,
n2 = number of samples in population 2,
From the information given
p1 = 0.77
1 - p1 = 1 - 0.77 = 0.23
n1 = 58
p2 = 0.67
1 - p2 = 1 - 0.67 = 0.33
n2 = 70
Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}
= √0.1/(0.0031 + 0.0032)
= √1/0.0063
= 12.6
the standard error of the distribution of differences in sample proportions is 12.6
b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30
Answer:
1, 5.8 represents the unit value. the slope is 5.8 so every time it moves over one vertical line it will go up 5.8 horizontal lines.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Alright, lets get started.
The two chords are intersection each other at point B.
Both are opposite angles that is 39 degrees.
Angle ABC forms the arc AC which is given 41 degree.
The arc DE will be same length as arc AC because angle ABC and angle DBE are same that is 39 degrees.
So, arc DE = 41
So, the answer is DE = 41 degrees .... Answer : option D
Hope it will help :)
The area of the pentagon is 19 square units
The coordinates of the pentagon are given as:
The area of the pentagon is then calculated using:
So, we have:
Simplify the expressions in both brackets
Remove absolute bracket
Hence, the area of the pentagon is 19 square units
Read more about areas at:
brainly.com/question/1423568
