Answer:
The margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.
Step-by-step explanation:
We are given that according to a survey of 500, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a standard error of 717.51.
Margin of error tells us that how much our sample mean value deviates from the true population value.
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<u>Margin of error is calculated using the following formula;</u>
Margin of error = 
where, 
= level of significance = 1 - confidence level
= 1 - 0.95 = 0.05 or 5%
Standard of Error = 
= 717.51
Now, the value of z at 2.5% level of significance (
) is given in the z table as 1.96, that means;
Margin of error =
= 
= 1406.32
Hence, the margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.
Answer:
1. 
= 3.143
2. Circumference
3. Area of the circle is 3850 
.
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A = 
C = 2r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r = 
so that,
C = 2
C = D
=
= 
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A =
= x 
= x 1225
= 22 x 175
A = 3850
Area of the circle is 3850 .
C = 2r
= 2 x x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw
Step-by-step explanation:
Answer: -24
-140/14+140/-10
-10/1+-14/1
-10+-14/1
=-24
1 1/4
4 fits into five once, leaving 1/4 left making it a mixed number.
