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eduard
3 years ago
12

A Florida poll asked 1200 Floridians whether they would prefer an increase in taxes or a decrease in government services as a wa

y to balance the budget. 52% of respondents stated they preferred an increase in taxes. Calculate the P-value and determine whether we can conclude that the majority of Floridians support an increase in taxes. 5. What if the poll above had asked 2500 Floridians? 6. Calculate and interpret the 95% confidence interval for the previous two questions.
Mathematics
1 answer:
mojhsa [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that a lorida poll asked 1200 Floridians whether they would prefer an increase in taxes or a decrease in government services as a way to balance the budget.

H_0: p =0.50\\H_a: p >0.50\\

(Right tailed test)

STd error assuming H0 to be true =\sqrt{pq/n} =0.0144 for n =1200

Mean difference =0.02

Test statistic =1.386

p value = 0.0823

5) If n =2500, std error would be = 0.01

Test statistic Z = 2

p value = 0.25

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A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

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In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

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(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
F(x)=-5x. g(x)=8x^2-5x-9. Find: (f*g) (x)
Troyanec [42]
F(x) = -5x
g(x) = 8x² - 5x - 9

(f×g)(x) = ?
= ((-5x)(8x²-5x-9))
= -40x³ + 25x² + 45x → The answer Opsi D
5 0
3 years ago
Can someone please help me with this?
valentina_108 [34]

Answer:

L: 110 W: 90

Step-by-step explanation:

110 + 110 + 90 + 90=400 (perimeter)

110 x 90 =9900 (new area that is greater than the original)

ding ding.

also this was not worth only five pts man LOL

3 0
2 years ago
Read 2 more answers
Please help me. Should I know this?
slega [8]

you don't need to know this for real life situations but for school you do need to know it, i dont know how to do this but here's a link to the same question you have but it's explained on how to solve it

https://www.wyzant.com/resources/answers/499729/fireworks_can_go_up_to_1000_feet_in_around_3_seconds_what_s_is_it_s_average_vertical_speed_in_feet_per_second_and_miles_per_hour

((Also i'm a fellow ARMY as well =) ))

7 0
3 years ago
Set B is defined as B={x|x is an integer}. Name two elements of B.
jenyasd209 [6]
By definition we have an integer number given by:
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B = {x | x is an integer}
 
-527 ∈ B
 
1 ∈ B
 
option D
7 0
3 years ago
Read 2 more answers
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