pls respond .............

Complete Question

The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 90% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.58, 0.63).

1. What is the sample proportion? Give the exact answer as a decimal.

2. Which of the following statements must be true?

A. If the sample size had instead been 960 residents, then the 90% confidence interval would be half as wide as the one stated above.

B. A 99% confidence interval calculated using the same survey data will include more plausible values for the population proportion.

C. If a different sample of 480 residents were to be selected, then there is a 90% chance that the new sample proportion will be between 0.57 and 0.62

3. What is the margin of error for this confidence interval? Give the exact answer as a decimal.

4. What is the standard error for this confidence interval? Round your answer to 4 decimal places.

5. What is the 95% confidence interval using the same survey data?

Answer:

1

[tex]\^ p = 0.605[/tex]

2

Correct option is B

3

[tex]E =0.025[/tex]

4

[tex]SE = 0.0152[/tex]

5

The 95% confidence interval is  [tex]0.575<  p < 0.635 [/tex]

Step-by-step explanation:

From the question we are told that the

   The 90% confidence interval is  (0.58, 0.63)

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the sample proportion is mathematically represented as

       [tex]\^ p = \frac{0.63 + 0.58}{2}[/tex]

=>    [tex]\^ p = 0.605[/tex]

Generally the width of a confidence varies directly with the margin of error and this margin of error varies directly with the critical value which increases as the level of confidence increases

So  if the confidence level is increased from 90 to 99 the critical  value will increase which will increase the margin of error , which will increase the width of the confidence interval (and an increase in the width of confidence interval means that more plausible values for the population proportion will be included )

Therefore the correct option for question 2 is  B

Generally  the margin of error is mathematically represented as

      [tex]E =\frac{0.63 - 0.58 }{2}[/tex]

=>   [tex]E =0.025[/tex]

Generally the margin of error can also be mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=>  [tex]0.025 = 1.645 * SE[/tex]

=>  [tex]SE = 0.0152[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error can also be mathematically represented as

   [tex]E = 1.96 * 0.0152[/tex]

=> [tex]E = 0.02979[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>   [tex]0.605  -0.02979 <  p < 0.605  +0.02979[/tex]

=>   [tex]0.575<  p < 0.635 [/tex]

Answer:

5x + 1

Step-by-step explanation:

Answer: the answer is = 20x − 4

Answer:

The time it takes Salam to walk around the path once is 12 minutes 34 seconds

Step-by-step explanation:

Given;

radius of the circular pond, r = 150 m

speed of Salam, v = 75 m/min

A single distance round the circular path is given by;

d = 2πr

d = 2π(150)

d = 942.6 m

Time it takes Salam to walk around the path once, is given by;

time = distance / speed

time = 942.6 / 75

time = 12.568 minutes

time = 12 minutes 34 seconds

Therefore, the time it takes Salam to walk around the path once is 12 minutes 34 seconds

Answer:

I believe it is 5/7

Step-by-step explanation:

y2-y1 over x2-x1 which is 6-1 over 4- (-3) ----> 6-1=5, 4+3=7 -----> 5/7

Answer:

The slope should be 5/7.

Step-by-step explanation:

You take the 6 and subtract from 1

And you take the 4 and subtract from -3

6-1/4- -3= 6-1/4+3=5/7

Answer:

2

Step-by-step explanation:

3-5/-2-(-1)

-2/-1 =

2

Answer:

2

Step-by-step explanation:

The slope is rise over run,

the equation for finding it is,

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

given the points

-2, 3

-1, 5

[tex]x_{1}[/tex] = -2

[tex]x_{2}[/tex] = -1

[tex]y_{1}[/tex] = 3

[tex]y_{2}[/tex] = 5

substitute in

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

=[tex]\frac{(5) - (3)}{ (-1) - (-2)}[/tex]

simplify,

[tex]\frac{2}{1}[/tex]

= 2

Answer:

the answer is D

Step-by-step explanation:

Answer:

np=b

a

......................................

Answer:

it goes B C A

Step-by-step explanation:

Answer:

18 pounds per hour

Step-by-step explanation:

Divide to find how many 15 minute segments there are in 1 hour. Note that 1 hour = 60 minutes.

60 / 15 = 4

Multiply 4 to the number of pounds she peels every 15 minutes that go by.

4.5 * 4 = 18 pounds

Best of Luck!

Answer:

18 pounds

Step-by-step explanation:

Answer:

ABC

Step-by-step explanation:

OR ABD

Answer:

29.35

Step-by-step explanation:

5.87 times 5

Answer: -3

Step-by-step explanation:

Answer:

The first part of the question is missing, so I looked for similar questions:

Heather and her family are going to the grand opening of an amusement park. There is a special price on tickets this weekend. Tickets cost 56$ each. This is 70% of a regular price ticket.

Part A- What is the cost of a regular price ticket?

Part B- Heather's mom says they would save more than 100$ this opening weekend. Do you agree or disagree with Heather's mom?

A) the price of a regular ticket is $56/70% = $80 per ticket

B) Heather's family is saving ($80 - $56) x 4 tickets = $24 x 4 = $96

Her family is almost saving $100, but not more than $100.

Answer:

9 containers

Step-by-step explanation:

Given

Total pounds of potato salad = 11 1/2 pounds

If one container holds 1 1/4 pounds:

The number of container that 11 1/2 pounds can hold is expressed as:

Number of container = Total pounds/volume of one container

Number of container = 11 1/2 ÷ 1 1/4

Convert to improper fraction

Number of container = 23/2 ÷ 5/4

Number of container = 23/2 × 4/5

Number of container = 92/10

Number of container = 9.2

Therefore she will need 9 containers

Answer:

mg

Step-by-step explanation:

because Mg is a symbol for Magnesium so milligram is mg

The value of x in terms of b is   x = -3/b

The value of x when b is 3 is    x = -1

===========================================

Work Shown:

Let's isolate x

-2(bx - 5) = 16

bx - 5 = 16/(-2) ... dividing both sides by -2

bx - 5 = -8

bx = -8+5 ... adding 5 to both sides

bx = -3

x = -3/b ... dividing both sides by b

That wraps up the first part.

-----------

To answer the second part, we plug in b = 3 to get

x = -3/b

x = -3/3

x = -1

Answer:

If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar.

Step-by-step explanation:

Answer:

20 square feet^2

Step-by-step explanation:

The computation is shown below:

As we know that

The area of a triangle is

= 1 ÷ 2 × base × height

Now for the one triangle is

= 2 × 4 ÷ 2

= 4

No multiplied it by four sides

So, it would be

= 4 × 4

= 16

And, the base of the sqaure is

= 2 × 2

= 4

So, the overall shape would be

= 16 + 4

= 20 square feet^2

Answer:

24,500

Step-by-step explanation:

Answer:

y = 4x/3 + 16

Step-by-step explanation:

Since the point new line is parallel to the line 4x - 3y = 5, so it must have the same slope. We now write this equation in slope-intercept form

4x - 3y = 5

-3y = -4x + 5

y = 4x/3 - 5/3

Its slope is the coefficient of x. So, its slope is 4/3 which will be the slope of the new parallel line which passes through the point (-6, 8).

To find the equation of this line, we use

(y - y₀)/(x - x₀) = m where x₀, y₀ are the points which the line passes through and m = slope of line. Given that ( x₀, y₀) = (-6, 8) and m = 4/3, we substitute these values into the equation. We have

(y - y₀)/(x - x₀) = m

(y - 8)/(x - (-6)) = 4/3

(y - 8)/(x + 6) = 4/3

cross-multiplying, we have

3(y - 8) = 4(x + 6)

Expanding the brackets, we have

3y - 24 = 4x + 24

collecting like terms, we have

3y = 4x + 24 + 24

3y = 4x + 48

In slope-intercept form, it is

y = 4x/3 + 48/3

y = 4x/3 + 16

Answer:

x=42.5

Step-by-step explanation:

all the sides have to add up to 180

4x+10=180

     -10 -10

------------------

4/4x=170/4

x=42.5

I hope this helps

Answer:

9. $17

10. $34

11.2+2+3+3=10

12. nachos=$3

Sandwich=$2

chips = $1.50

coffee= $4

Slushy=$3

Bottled water = $1

2+1.50=3.50

4+3+2=9

1+3+3=7

Answer:

17

Step-by-step explanation:

1+2+3+3+1+2+3+2=

3+3+3+1+2+3+2=

3+3+3+3+3+2=

6+3+3+3+2=

6+6+3+2=

6+6+5=

12+5=

17

Answer:

Cost per gusset = 4

Step-by-step explanation:

Given:

Cost for 12 people party = $48

Cost for 22 people party = $88

Find:

Cost per gusset

Computation:

Cost per gusset = 48 / 12

Cost per gusset = 4

Cost per gusset = 88 / 22

Cost per gusset = 4

Answer: Option B - 3 1/2

Step-by-step explanation:

Using the graph they give you on your problem, you can see that they split the fourths into eighths for you. To find how much sauce Alfredo has, you can count the little squares at the bottom up to 7. Then, you check where that is relative to the top squares. When you finish counting, you will see you have passed 3 of the 1/4 size boxes and you are halfway through the last 1/4 size box. Therefore, Alfredo can make 3 and 1/2 servings.

Answer:

C

Step-by-step explanation:

how do you know if an equation has infinite solutions?

if the equation ends with a true statement, like 3=3, then you know it has sinfinite solutions. in this situation x=x

C:

3(2x+1)=6x+3

(multiply 3 by (2x+1))

6x+3=6x+3

(subtract 6x-3 from both sides)

0=0

Answer:

A. $536

B. 400 customers

C. M = 65 + 0.21n

D. 250 customers

Step-by-step explanation:

Let

n = number of customers she advises

M = Earnings per week

M = 80 + 0.15n

A. 360 customers per week for 4 consecutive weeks

M = 80 + 0.15n

Let n = 360

M = 80 + 0.15n

= 80 + 0.15(360)

= 80 + 54

= 134

M = $134

Earnings per week for four consecutive week = M × 4

= $134 × 4

= $536

B. Melody received $140 at the end of a certain week

M = $140

M = 80 + 0.15n

140 = 80 + 0.15n

140 - 80 = 0.15n

60 = 0.15n

n = 60 / 0.15

= 400

n = 400

Melody advised 400 customers that week

C. decrease her basic wage to $65 and increase her salary per customer advised to $0.21.

M = 65 + 0.21n

D.

Earnings before change in earnings

M = 80 + 0.15n

Earnings after change in earnings

M = 65 + 0.21n

Equates both earnings

80 + 0.15n = 65 + 0.21n

80 - 65 = 0.21n - 0.15n

15 = 0.06n

Divide both sides by 0.06

n = 15 / 0.06

= 250

n = 250 customers

Answer:

Q 1- 15, just multiply 5 x 2 = 15

Q 2- 36, just multiply 8 x 12 = 36

Q 3- y= -2x

Q 4- 1200

Q 5- 20

Point 1: (0, -8)

Point 2: (2, 0)