Answer:
(A) With 99% confidence, the proportion that favours the Green initiative is between 418.895 and 423.105 (no approximation; answers were gotten exactly in 3 decimal places).
(B) If many groups of 593 (greater than the initial sample size of 556) randomly selected Americans were surveyed then a different confidence interval would be used or produced from each group.
About 90% of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 10% will not contain the true population proportion.
Step-by-step explanation:
(A) 99% of 421 = 416.79
421 - 416.79 = 4.21
4.21 ÷ 2 = 2.105
(421-2.105), (421+2.105)
The lower and upper limits are:
[418.895 , 423.105]
(B) A wider confidence interval such as 90% will be better suited in a case of multiple samples like this.
Answer:
D is the correct answer.
Step-by-step explanation:
Distribute (−6x^4 + x^2 − 1)(2x^3 - 4x + 3)
-12x^7 + 24x^5 - 18x^4 + 2x^5 - 4x^3 + 3x^2 - 2x^3 + 4x - 3
Combine Like Terms
-12x^7 + 26x^5 - 18x^4 - 6x^3 + 3x^2 + 4x - 3
Answer:
B. 1,4
Step-by-step explanation:
1. substitute 4x for y in the second equation since we know y=4x(to find x)
6x-4(4x)=-10
2.solve for x
6x-4(4x)=-10
-4•4x=-16x
6x-16x=-10
6x-16x=-10x
-10x=-10
-10x/-10=-10/-10
x=1
3.substitute 1 for x in either equation(since x=1)to find y
y=4(1)
y=4
x,y=1,4
hope this helps!
Length (L): L
width (w): 1/2L + 3
Area (A) = L x w
308 = (L)(1/2L + 3)
308 = (1/2)L² + 3L
616 = L² + 6L
0 = L² + 6L - 616
0 = (L - 22)(L + 28)
0 = (L - 22) 0 = (L + 28)
L = 22 L = -28
Since length cannot be negative, disregard the -28
L = 22
width (w): 1/2L + 3 = 1/2(22) + 3 = 11 + 3 = 14
Answer: width = 14 meters, length = 22 meters