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.
<u></u>
<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.
The answer is
<span>(a−b)²+b²/a²
proof
if A is the area of the
</span><span>inner</span> squared, so A= c², and c²= (a−b)²+b²
so the side of the outer must be a-b +b=a, its area is a²
Answer:
- The maximum height is 136 ft
- The time it takes to achieve this height is 1.5 s.
Explanation:
<u>1. Function for the height (given):</u>
<u />
<u>2. Type of function</u>
That is a quadatic function, whose graph is a parabola that opens downward.
The maximum of the function, i.e. the maximum height, is the vertex of the parabola.
The vertex of a parabola with the genral equation 
is at the x-coordinate
<u>3. Time to achieve the maximum height</u>
Substitute b with 48 and a with - 16:
Then, time when the object achieves the maximum height it 1.5s
<u />
<u>4. Maximum height:</u>
Replace t with 1.5 in the equation, to find the maximum height, h(1.5)
Then, the maximum height is 136 ft
Answer:
Frankita will create <u>29</u> drawings at the end of 75 minutes.
Step-by-step explanation:
Now below shown is the pattern used by Frankita:
15 min = 15 drawing
30 min = 17 drawing ⇒ increase by 2 (15+2 = 17)
45 min = 20 drawing ⇒ increase by 3 (17+3 = 20)
60 min = 24 drawing ⇒ increase by 4 (20+4 = 24)
75 min = 29 drawing ⇒ increase by 5 (24+5 = 29)
Hence We can say that Frankita will create <u>29</u> drawings at the end of 75 minutes.
When you multiply you add the exponents, so 7^9*7^-3=7^6
