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:
The length of the rectangle = 63 ft
Step-by-step explanation:
Let us assume the width of the rectangle = m ft
So, the length of the rectangle = 3 x Width = 3 x m = 3 m ft
Perimeter = 168 ft
PERIMETER OF A RECTANGLE = 2 (LENGTH + WIDTH)
⇒ 168 ft = 2 ( 3 m + m)
or, 168 = 2 ( 4 m)
or, 8 m = 168
⇒ m = 168/8 = 21
or, m = 21 ft
Hence, the width of the rectangle = m = 21 ft
And the length of the rectangle = 3 x m = 3 x 21 = 63 ft
Answer:
x + 5 = 37
Step-by-step explanation:
Hoje tem x anos.
Daqui a 5 anos será 5 anos mais velha. A sua idade será x + 5 anos.
Daqui a 5 anos, a sua idade será 37 anos.
x + 5 = 37
Answer:
Step-by-step explanation:
False
Answer:
Step-by-step explanation:
The three points are (-3, 0), (0, 1), (3, 2)
In an ordered pair, the first value is the x-coordinate
(x, y)
