The results of a poll show that between 43% and 55% of the population support an increase in sales tax to pay for a new sports stadium.

a) What is the point estimate?


b) What is the margin of error?

Answers

Answer 1

Answers:

a) The point estimate is 49%b) The margin of error is 6%

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Explanation:

The point estimate is the midpoint of the two ends. We add up the endpoints and divide by 2 to get the midpoint. We have p = 0.43 and q = 0.55, so we get the midpoint (p+q)/2 = (0.43+0.55)/2 = 0.98/2 = 0.49, then this converts to 49%. Meaning 49% is exactly at the midway point of 43% and 55%

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The margin of error is the distance from the midpoint to either endpoint. If we try to aim for 49%, but have some error, then we have an error of 55-49 = 6%, or we could say 49-43 = 6%; either way the margin of error is 6 percentage points.

The formula we can use is (q-p)/2 where p and q are the left and right endpoints of the interval. So in this case, we'd have,

(q-p)/2 = (0.55-0.43)/2 = 0.12/2 = 0.06 = 6% margin of error

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Side note: We can think of it as if 49 is the center and 6 is the radius of the circle. We want to hit the center of the circle, but we have an error of 6 (meaning that's how far we could go in either direction).


Related Questions

Correctly order the steps to solve the equation below.
2(x + 5) + 3 = 4(x + 2) -11
= Use the distributive property on both sides
= "Undo" addition to isolate the variable term
= Identify and combine any like terms
= "Undo" multiplication to isolate the variable

Answers

Maybe the answer is x=8

Answer:

See below

Step-by-step explanation:

Solution

2(x + 5) + 3 = 4(x + 2) - 112x + 10 + 3 = 4x + 8 - 112x + 13 = 4x - 34x - 2x = 13 + 32x = 16x = 16/2x = 8

Order of operations

= Use the distributive property on both sides= Identify and combine any like terms= "Undo" addition to isolate the variable term= "Undo" multiplication to isolate the variable

Which equation has the same solutions as 2x2 + x - 3=0?
(1) (2x - 1)(x + 3)=0
(2) (2x + 1)(x - 3)= 0
(3) (2x - 3)(x+1)=0
(4) (2x + 3)(x - 1)=0

Answers

Answer:

I think it’s (4)

Step-by-step explanation:

Not sure but thats the only close answer I got

I believe the answer is 4

Help plsss anyone help plsss

Answers

Answer:

[tex]\frac{1}{70}[/tex]

Step-by-step explanation:

P(gold) = [tex]\frac{gold}{total}[/tex] = [tex]\frac{5}{350}[/tex] = [tex]\frac{1}{70}[/tex]

I’m pretty sure it would be 1/70! Hope it helps :) have a good day

slove
[tex]4 \div 2(5 - 8)[/tex]​

Answers

Answer:

Hello! answer: -6

4 ÷ 2 = 2 5 - 8 = -3

2(-3) = -6 therefore the answer is -6 hope that helps!

-6 is the correct answer !!

Factor the expression 8x + 12 using the GCF.
8x + 12 =

Answers

Answer:

4(2x+3)

Step-by-step explanation:

Because 4 is the GCF

(-3,4),(2,4),(5,0),(2,-4),(-3,-4),(-6,0)
Find the perimeter of the polygon with the given coordinates.

Answers

Answer:

Step-by-step explanation:

Using the distance formula, d = (x2 - x1)2 + (y2 - y1)2 we can find that each side is 5 units and there are 6 sides. The perimeter is 5×6 = 30 units.

Pleas help!

WILL THANKS YOUR ACCONT and MARK BRAINLIEST

Answers

The answer is open circle arrow going to the left. I hope this helped! :)

find the volume of a cylinder with a height of 10 and a radius of 2.

125.6in(3) 502.4in(3)

Answers

Answer:

125.6 cubic inches

Step-by-step explanation:

The formula for volume of a cylinder is:

[tex]V = \pi r^2h[/tex]

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So:

[tex]\pi[/tex] × 4 × 10 = 125.6

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Have a good day :)

Find the measure of the missing angle in the triangle below А B 100° 55° C​

Answers

Ermm 350 or 500 im sure

solve the inequality 2(4x+1) < 3(2x-3)

Answers

Answer:

[tex] x < - \frac{11}{2} [/tex]

Step-by-step explanation:

Distribute 2 through the parentheses:

[tex]8x + 2 < 3(2x - 3)[/tex]

Distribute 3 through the parentheses:

[tex]8x + 2 < 6x - 9[/tex]

Move the variable to the left-hand side and change its sign:

[tex]8x + 2 - 6x < - 9[/tex]

Move the constant to the right-hand side and change its sign:

[tex]8x - 6x < - 9 - 2[/tex]

Collect like terms:

[tex]2x < - 9 - 2[/tex]

Calculate the difference:

[tex]2x < - 11[/tex]

Divide both sides of the inequality by 2:

[tex]x < - \frac{11}{2} [/tex]

Dexter plans and records his spending. In the coordinate plane below, the x-axis represents the number of days before or after today. For example, -1 would represent yesterday. The y-axis represents the amount of money Dexter planned to spend in dollars. The points (-5, 8) and (2, 8) represent Dexter's planned spending on two separate days.

Answers

Answer:

See attachment for grid

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-5,8)[/tex]

[tex](x_2,y_2) = (2,8)[/tex]

Required

Plot the points on a grid

To do this, we make use of a graph (there are several resources to do that online).

See attachment for plot

HELP PLEASE I WILL MARK BRAINLIEST

Answers

Answer:for points

Step-by-step explanation:

Hsjsnsns.


Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has two
sandwiches. One of the sandwiches is ham and the other is turkey, If he reaches into both bags without looking, what is the probability that he will grab a red apple and a ham sandwich?
A. 1/8
B. 1/2
C. 3/8
D. 2/3

Answers

Answer: 3/8

Step-by-step explanation:

It’s the answer :>

Answer:

c. 3/8

Step-by-step explanation:

3/4 * 1/2 = 3/8

i multiplied both probabilities

For Matt’s birthday, he can take up to five friends with him to the movies. The cost per person for the movie and snacks is $21.75. Which of the following is a reasonable range for this situation?

Answers

Answer:

{21.75, 43.50, 65.25,87,108.75,130.50}

Step-by-step explanation:

Abput 1/4 of fruit punch is pineapple juice. About 1/6 of the punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice

Answers

Answer:

5/12

Step-by-step explanation:

Given

Fraction of punch that is pineapple juice = 1/4

Fraction of punch that is orange = 1/6

Taking the sum;

fraction of the punch that is pineapple juice or orange juice = 1/4 + 1/6

fraction of the punch that is pineapple juice or orange juice = 3+2/12

fraction of the punch that is pineapple juice or orange juice = 5/12

Hence the fraction of the punch that is pineapple juice or orange juice is 5/12

A motorboat travels miles in hours going upstream. It travels miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current

Answers

Answer:

x = 49 mi/hr

y = 6 mi/hr

Step-by-step explanation:

A motorboat travels 258mi in 6 hours going upstream. It travels 330mi going downstream in same amount of time. What's the rate of the boat in still water and what is the rate of the current.

Let

x = the speed of the boat in still water.

y = the speed of the stream

The speed upstream is x - y

The speed downstream is x + y

Distance = rate × time

258 = (x - y)6 (1)

330 = (x + y)6 (2)

From (1)

x - y = 43 (3)

From (2)

x + y = 55 (4)

x - y = 43 (3)

x + y = 55 (4)

Add the equations to eliminate y

x + x = 43 + 55

2x = 98

x = 98/2

x = 49 mi/hr

Substitute x = 49 into (4)

x + y = 55 (4)

49 + y = 55

y = 55 - 49

y = 6 mi/hr

please answer quickly
expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​

Answers

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

38 3 If p - q is true, thenq - p is false.​

Answers

Answer:

yess it is by the benefactor

Step-by-step explanation:

20+(5 + 7) = x - 14 I need help take your time

Answers

Answer: x = 46

Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14

Answer:

[tex]x=46[/tex]

Step-by-step explanation:

[tex]20 + (5+7)=x-14[/tex]

[tex]20+12=x-14[/tex]

[tex]32=x-14[/tex]

Take [tex]x-14[/tex] on the other side of the 'equal to' sign and 32 on the other side so that the variable remains on the right side

[tex]x-14=32\\[/tex]

[tex]x=32+14[/tex]

[tex]x=46[/tex]

what is the value of the y-coordinate of point A?

Answers

Answer:

0.26

Step-by-step explanation:

A (x , y), radius of circle = 1

y/radius = y/1 = sin 15°

y = 0.26

Answer:

sin 165..........

Step-by-step explanation:

Debbie used 40% of her flour for cookies. She started with 24 cups; how many cups did Debbie use?

Answers

the other asnwers dont make any sense. but just take my word for it.

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

the third choice

Step-by-step explanation:

I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..

For the drawing, provide the missing lengths. x= hypotenuse y= leg

Answers

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratio to get answer

Answer:

[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]

[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]

[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]

Find the volume and show work

Answers

Answer:

56.52

Step-by-step explanation:

2x3.14 for circle x 9 height

Answer:

12pi

Step-by-step explanation:

Use the equation for volume:

pi(r^2)*h/3

pi*(2^2)*(9/3)

pi*4*3

12pi

describe the image of a shape after a dilation of a scale factor of 1/4

Answers

Answer:

the picture go to be 1/4 more smaler

Step-by-step explanation:

Please help me I’m in finals a don’t want to fail

Answers

Answer:

1, 2, 3

Step-by-step explanation:

X <= 20 means that x has to be less than OR equal to 20.

The first option is -100. That's less than 20, so this statement is true.

The second option is 10. That's also less than 20, so this statement is also true.

The third option is 20. This is equal to 20, so this is also true.

The fourth option is 21, which is greater than 20, so it's not true.

The fifth option is 45, which is greater than 20, so it's not true.

Sorry I answered so late, hope this helps even though you probably don't need it anymore.

Find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 1.8

Step-by-step explanation:

tan A = 14/√60 = 1.8

there are 13 fiction books, 9 mysteries and 11 romances. two books are randomly taken. 1) what is the probability that the second book taken is a mystery? 2) what is the probability that the second book is a mystery knowing that the first one was a romance? 3) what is the probability that the first one is a fiction knowing that the second one is a mystery?

Answers


Yes ...........................

I think it is between these two..


(No link pls <3)

Answers

slope of line is 2 comparing equation y= mx+c where m is your slope

Answer:

- 1

Step-by-step explanation:

SLOPE/Y-INTECEPT EQUATION

y = mx + b

The "b" is the slope. Any number that is not multiplied by "x" and is not "y" is the slope.

y = 2x - 1

Since the "-1" is not multiplied by "x" and is not "y", then that means it can only be the slope.

pliss solve and give explaniaton

Answers

Answer:

300in²

Step-by-step explanation:

l= 12

w= 9

h= 2

Substitute into the equation

S= 2(lw+ wh + hl)

S= 2( 12x9 + 9x2+ 12x2)

S= 2( 108+ 18 + 24)

S= 2( 150)

S= 300

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