Can you write a number using 20 digits after the decimal point. Explain your thinking.​

Answer:

np=b

a

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

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]

Point 1: (0, -8)

Point 2: (2, 0)

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:

5x + 1

Step-by-step explanation:

Answer: the answer is = 20x − 4

Answer:

Each cupcake would cost $2

Step-by-step explanation:

lets find the total amount of the seven cupcakes

20 - 6 = 14

so total 7 cupcakes $14

each cupcake costs $14/ 7 = 2

each cupcake $2

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:

The average rate of change in a function f(x) from x=a to x=b is given by

Step-by-step explanation:

Answer:

32 ounces

Step-by-step explanation:

Answer:

question 4: 552mph

Step-by-step explanation:

414/.75=552

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:

A)0.65 should be multiplied by $95 to get the discounted price a value of $61.75.

B)0.90 should be multiplied by $40 to get the discounted price a value of $36

Step-by-step explanation:

A) The original cost of the pair of boots is $95. If it is sold at a discount of 35%(0.35) off. It means that the discount will be; 95 × 0.35

The new price after discount will be;

95 - (95 × 0.35)

Factorizing, we have;

95(1 - 0.35) = 95 × 0.65

Thus, 0.65 should be multiplied by $95 to get the discounted price a value of $61.75.

B) sweater originally costs $40.

At a discount of 10%, the discounted price is;

40 - (40 × 0.1)

40(1 - 0.1)

40 × 0.9

Thus, 0.90 should be multiplied by $40 to get the discounted price a value of $36

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:

spikes

Step-by-step explanation:

S P I K E S

Answer:

it goes B C A

Step-by-step explanation:

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

Answer:

x = - 5, y = - 6

Step-by-step explanation:

Given the 2 equations

7x - 4y = - 11 → (1)

7x + 4y = - 59 → (2)

Adding the 2 equations term by term will eliminate the term in y

14x = - 70 ( divide both sides by 14 )

x = - 5

Substitute x = - 5 into either of the 2 equations and solve for y

Substituting into (2)

7(- 5) + 4y = - 59

- 35 + 4y = - 59 ( add 35 to both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Thus x = - 5 and y = - 6

Answer:

x = -5

y = -6

Step-by-step explanation:

Let's take the top equation.

7x - 4y = -11

and solve it for x.

7x - 4y = -11

7x = 4y - 11

x = [tex]\frac{4y - 11}{7}[/tex]

Now we can substitute it in to the other equation.

7x + 4y = -59

7([tex]\frac{4y-11}{7}[/tex]) + 4y = -59

Now solve this equation.

4y - 11 + 4y = -59

8y - 11 = -59

8y = -48

y = -6

Then substitute negative 6 into the first equation.

7x - 4(-6) = -11

7x -(-24) = -11

7x = 35

x = -5

Answer:

x=-3/5, 3/5

Step-by-step explanation:

Answer:

-2/3

please pick me as brainliest

Answer:

[tex]24x +32 [/tex]

Step-by-step explanation:

[tex] \\ 8(3x + 4) = 24x + 32 \\ ♨Rage♨[/tex]

Answer:

Equals

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

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: 70%

Step-by-step explanation:

each slice is 10% of the pizza since there are only 10 slices. If she ate 7 of them, she ate 70%.

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: