A survey of 73 students found that 37% were in favor of raising tuition to pave new parking lots. The standard deviation of the sample proportion is 9.8%. How large a sample (to the nearest person) would be required to reduce this standard deviation to 4.7%?

Answers

Answer 1

Answer:

The value  is   [tex]n_2  = 317[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  73

   The proportion that in favor of raising the tuition is  [tex]\^{p} =  0.37[/tex]

   The standard deviation is  [tex]s_1  = 0.098[/tex]

    The required standard deviation  [tex]s_2  = 0.047[/tex]

Generally the requires standard deviation is mathematically represented as

      [tex]s_2  = s_1 *  \sqrt{\frac{n_1}{n_2} }[/tex]

=>    [tex]\frac{s_2}{s_1}  =  \sqrt{\frac{n_1}{n_2} }[/tex]

=>    [tex]\frac{n_1}{n_2} =[\frac{s_2}{s_1} ]^2[/tex]

=>     [tex]\frac{73}{n_2} =[\frac{0.047}{0.098} ]^2[/tex]

=>     [tex]\frac{73}{n_2} =0.2300[/tex]

=>     [tex]n_2 =  \frac{73}{0.2300}[/tex]

=>   [tex]n_2  = 317[/tex]


Related Questions

hellllllllllllllllllllllllllllllllllpppppppppppppppppppppppp whats the x

Answers

Easy buddy....

[tex]2 x + 68 = 180[/tex]

Subtract the sides of the equation minus 68

[tex]2x = 180 - 68[/tex]

[tex]2x = 112[/tex]

Divided the sides of the equation by 2

[tex]x = \frac{112}{2} = 56 \\ [/tex]

So ;

[tex]x = 56 \: degreees[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Which expression has a value of 3/4

Answers

What are the expressions?

On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was his rate on Saturday?

A. 4 MPH
B. 11 MPH
C. 15 MPH
D. 16 MPH

Answers

Answer:

B. 11 MPH

Step-by-step explanation:

60/4=15

15-11=4

B because 60/4 is 15. That’s the first part then, 15-4 is 11

The short answer please

Answers

Answer:

4) 1

5) 13/0, ND

6) -4

7) 5/3

8) 0

9) -1/7

all ans r correct....

pls vote n rate if u found it useful ....

Middle school math
Graph the line y=−3x+b if it is known that the graph goes through point: a A(−2, 4)

Answers

Answer:

Step-by-step explanation:

Evaluate x^2 y for x = -5 and y = 3.
-75
-15
75

Answers

[tex]x = - 5[/tex]

[tex]y = 3[/tex]

_________________________________

[tex] {x}^{2} \times y = ({ - 5})^{2} \times 3 = 25 \times 3 = 75 \\ [/tex]

Done♥️♥️♥️♥️♥️

SHOW WORK ILL MARK BRAINLIST !!!!

Answers

Answer:

8x-16

Step-by-step explanation:

2 + 3x-9 + 1 -10 +5x

-16 + 8x so 8x-16 is your answer

10xy12
Which expression is equivalent to
-5x2, 6 ? Assume
-50x8,18
-2x8,18
-2x12,72
5x8,18

Answers

Answer:

Option B.)

[tex] - {2x}^{8} {y}^{18} [/tex]

The equivalent expression of 2(x² – 1) + 3x(x – 4) is 5x² - 12x - 2

Here, we have,

We know that,

The equivalent expression of the expression can be found as follows;

2(x² – 1) + 3x(x – 4)

open the brackets

2x² - 2 + 3x² - 12x

Therefore, let's combine like terms

2x² + 3x² - 12x - 2

Let's do the arithmetic for like terms

2x² + 3x² - 12x - 2

5x² - 12x - 2

Therefore, the equivalent expression of  2(x² – 1) + 3x(x – 4) is

5x² - 12x - 2.

learn more on expression here:

brainly.com/question/15319964

#SPJ7

Plot the image of point A under a dilation about point P with a scale factor of 3.

Answers

Answer:

THere is no image do da

Step-by-step explanation:

One of the main purposes of physical geography is to:
A. compare and contrast cultures from different regions,
B. identify patterns in the ways religions spread around the world.
C. allow governments to plan for future population growth.
D. help people understand how nature affects their communities,

Answers

Answer:

Hi! I did this exact question on A P E X and got it right! The answer to your question is D. Help people understand how nature affects their communities!

Step-by-step explanation:

I hope this helps and I hope you guys have a great day! :3

Proof:

Solve |4x|+6=22 nester any fractions as decimals rounded to the nearest hundredths

Answers



According to all known laws
of aviation,


there is no way a bee
should be able to fly.


Its wings are too small to get
its fat little body off the ground.


The bee, of course, flies anyway


because bees don't care
what humans think is impossible.


Yellow, black. Yellow, black.
Yellow, black. Yellow, black.


Ooh, black and yellow!
Let's shake it up a little.
heres what i did! :))

Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.

Answers

Answer and Step-by-step explanation:

SOLUTION:

Given function:

h (x, y, z) = ln (x2 + y2 – 1) + y +6z,  p0(1, 1, 0)

Derivatives of the function:

∂h / ∂x = (1 / x2 + y2 -1). (2x)

          = 2x / x2 + y2 -1

∂h/∂y = (1 / x2 + y2 – 1) (2y + 1)

          = (2y / x2 + y2 -1) + 1

∂h / ∂z = 6

Now compute the partial derivatives:

∂h (1, 1, 0) / ∂x = 2(1) / 1 +1 -1

                            = 2

∂h(1, 1, 0) / ∂y =( 2(1) / 1 +1 -1) + 1

                           = 3

∂h (1, 1, 0) / ∂z = 6

Δh (1,1,0) = ( 2, 3, 6)

The definition of gradient is:

Δf (x, y, z) = (∂f / ∂x , ∂f / ∂y)

Put the coordinate values to arrive at solution:

Umax = Δh (1,1,0) / | Δh (1,1,0) |

      = (2, 3, 6) / |2, 3, 6|

     = (2, 3, 6) / √(22+33+62)

   = (2, 3, 6) / √49

    = (2, 3, 6) / 7

= (2/7 , 3/7, 6/7)

Umin = - U max = ( -2/7, -3/7, -6/7)

Compute direction by finding unit vector:

Du h max = Δh (1,1,0)  . u max

                 = (2, 3, 6) . (2/7, 3/7, 6/7)

                 = 2(2/7) + 3(3/7) + 6(6/7)

                 = 4/7 +  9/7 +36/ 7

                  = 49 / 7

                  = 7

Du h min = -Du h max

                = -7

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

it should be C

Step-by-step explanation:

On a certain day, the temperature in Seattle was -1ºC and the temperature in Houston was 18ºC. How many degrees lower was the temperature in Seattle?

Answers

Answer:

19.C

Step-by-step explanation:

You must subtract -1 -18.C then you would get your answer, 19.C

Sara ate 314 of a cup of grapes at breakfast and 213 of a cup of fruit salad a
lunch. Later she ate 314 of a cup of orange slices. Did Sara eat more than 2 cups
of fruit in total? *
yes
no

Answers

Answer:

yes because when you add the fractions together you get 8 5/6

Construct a 2x2 matrix A= aij. whose elements are given by

a = |-3i + j| plz give step by step answer​

Answers

Hope it will help you

can someone please help me

Answers

Answer:

the triangle is 10 the rest are 3

Triangle is 7, diamond is 0, and square is 6

What is the value of 6(82)? Use place value and the distributive property. 6(82) = 6(80 + 2) = ? 432 482 492 552

Answers

Answer:

492

Step-by-step explanation:

6x82

Answer:

the answer is 492 the person above me is correct!!

Step-by-step explanation:

Help quick ........ ...

Answers

It would be 1/5 because you subtract the 3/4x to both sides making your equation 1/4 =5/4x. Finally, multiply by the reciprocal of 5/4, which is 4/5, to both sides, making x=1/5

Answer:

X= 1/5

Step-by-step explanation:

A bag contains nine balls labeled 1 through 9. One ball will be randomly picked. What is the probability of picking a multiple of 3?

Answers

Answer: 3/9 or 1/3

Step-by-step explanation:

3, 6 and 9 are all multiples of 3 equal or below 9.

Which of these statements is correct?
A
A solution to the equation x2=4 is x=16.

B
A solution to the equation x2=64 is x=4.

C
A solution to the equation x3=8 is x=24.

D
A solution to the equation x3=125 is x=5.

Answers

my opinion answer c solution to the equation X3 equals to 8 is X = 24

Answer:

D

Step-by-step explanation:

it is correct cause x^3 power is 125 and x is 5

Find the equivalent number

Answers

Answer:

2

Step-by-step explanation:

you make 3⁴ into 12 and 3² into 6 which makes it 12/6 & 6 times 2 is 12 so it would be 2

Find g (a + 1 ), if g(x)=5x-3 ​

Answers

Answer:

g(a+1)=5a+2

Step-by-step explanation:

so (a+1) is the value of x

you can write it like this:

x=a+1

using substitution, we can swap out all 'x's for 'a+1's. like so;

g(a+1)=5(a+1)-3  -- given

        =5a+5-3   --  distribute

        =5a+2      --  simplify!

Hope i helped! have a great day! please mark brainliest!!

find the area of parallelogram .
I need to know how to solve this. can someone please explain it I'm trying to help my son out. this one is tricky it has a fraction.​

Answers

Answer:

894

Step-by-step explanation:

You'll just multiply 37 1/4 x 24... remember that the 32 mi doesn't count because it is not perpendicular to the base, if it's not perpendicular to the base than you will not multiply with it.

I learned this and also got this question!

Good Luck with the test!

Answer:

cvfbb

Step-by-step explanation:

find the area of a circle with the following dimension, diameter=20cm

Answers

Answer:

314.16cm²

Step-by-step explanation:

audrianna gives a walking tour of a popular tourist city to one person for To increase her​ business, she would lower the price by​ $2 per person for each additional person. Write the cost per person c as a function of the number of people n on the tour. How much does she make for a tour with ​people?

Answers

https://brainly.com/question/13415074

What is the slope of the line that contains these point?
(13,11),(14,6),(15,1),(16,-4)

Answers

Answer:

Step-by-step explanation:

You can easily find the slope by using two points. Let’s use (13, 11) and (14, 6)

We look at the slope equation as: y2 - y1 divided by x2 and x1.

13 = x1 11= y1 and 14= x2 6=y2

Plug in: 6-11/14-13 and solve

Answer: -5

Hope I made sense :)

Answer:

Slope (m) = -5

Step-by-step explanation:

*If all the given four points are on a straight line then; the slope derived from first two points should be equal to the slope derived from the next to points.

Let's verify this ...

For the first two points:

Slope (m) = change in y ÷ change in x = [tex]\frac{6 - 11}{14 - 13} = \frac{-5}{1} = -5[/tex]

For the next two points:

m = [tex]\frac{-4 - 1}{16 - 15} = -5[/tex]

*Proved ∴ points (13,11) , (14,6) , (15, 1) and (16,-4) are on the same line.

We can find the equation of this line and ascertain that the four points are on a single line.

Taking another point (x,y) on the line and point (13,11);

m = [tex]\frac{y - 11}{x - 13} = -5[/tex]

y = -5x + 65 + 11

y = -5x + 76

Let's graph this equation. (graph attached)

You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?

Answers

Answer:

$0.90/pound

Step-by-step explanation:

4.5$ ÷ 5 pounds = $0.90 / pound

What is the best estimate for 34 2/3÷ 4 4/5?

Answers

Answer:

7.2

Step-by-step explanation:

Answer:

7 2/9; estimate is about 7

Step-by-step explanation:

convert mixed numbers to improper fractions

(whole number × denominator + numerator)

104/3 ÷ 24/5

copy dot flip

104/3 × 5/24

multiply numerators

520

multiply numerators

72

520/72

convert back to mixed numbers

7 16/72

simplify

7 2/9

A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable with mean 109 and standard deviation 11. His profit on each bar sold is $0.12, and it costs him $10 per week to maintain the machine and rent the space for it. What are the mean and standard deviation for Y= the profit he earns from this machine in a randomly selected week?​

Answers

Answer:

10

Step-by-step explanation:

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