1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler79 [48]
3 years ago
12

A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a

random sample of 500 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.47. What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50
Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

Answer:

The value is  P( X  >  0.50) = 0.089264

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  500

   The  population proportion is  p =  0.47  

     

Generally given that the sample size is sufficiently large , the mean of this sampling distribution is mathematically represented as

        \mu_x  =  p  =  0.47

Generally the standard deviation of the sampling distribution is mathematically represented as

       \sigma  =  \sqrt{\frac{p(1- p )}{ n} }

=>     \sigma  =  \sqrt{\frac{ 0.47 (1-0.47  )}{ 500 } }

=>     \sigma  = 0.0223

Gnerally the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is mathematically represented as

          P( X  >  0.50) =  P( \frac{ X - \mu  }{ \sigma }  >  \frac{ 0.50 - 0.47 }{ 0.0223 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

=>        P( X  >  0.50) =  P( Z> 1.3453  )

From the z table  the area under the normal curve to the left corresponding to  1.3453   is

          P( Z> 1.3453  ) =  0.089264

So  

          P( X  >  0.50) = 0.089264

You might be interested in
Please help me, will mark brainliest for correct answers.....
Alexandra [31]

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

3.

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

6.

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

8.

5² + 12² = 13²

25 + 144 = 169

169 = 169

8 0
3 years ago
The zeros of function dare -3 and 8. Which expression could be a factor of function d?
erastovalidia [21]

Answer:

(x + 3)

Step-by-step explanation:

Using the zero product property

x-a = 0  x-b = 0  where a and b are the zeros

(x-a)(x-b) =0

(x- -3)(x -8) =0

(x+3) (x-8) =0

3 0
3 years ago
The area of the square is 27 cm.<br> What is the perimeter of the triangle?
Ede4ka [16]

Answer:24

Step-by-step explanation:3x9=27

3+3=6

9+9=18

18+6=24

7 0
2 years ago
Read 2 more answers
Find the measure of a central angle of a regular polygon with 10 sides
Paraphin [41]

Answer:

114 degrees

Step-by-step explanation:

The formula to find the measure of all angles in a regular polygon is (n-2)180, where n = total number of sides.

Thus, we substitute n for 10, and you get:

(10-2)180=1440

If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.

A central angle in a regular ten-sided polygon would be 144 degrees.

5 0
3 years ago
A packet contains 10 sweets.
Tresset [83]

Answer:

2 peoples

Step-by-step explanation:

both of them will 5 sweets

4 0
3 years ago
Read 2 more answers
Other questions:
  • In a study,9 people ate a total of 1,566 pound of potatoes in 2 year. If each person ate the same amount each year, him many pou
    11·2 answers
  • 45% of the load is 27 tonnes. Find the full load.
    6·1 answer
  • What kind of problem is this
    7·2 answers
  • An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
    15·1 answer
  • Find the area of the rectangle park whose length is 2 3/5 m breadth and is 4/9 metre.
    9·1 answer
  • If 8 pigs can fit in a pen, how many pens are necessary to make sure 71 pigs are all in a pen?
    6·1 answer
  • Find the distance between the points (1,8) and (9, 2).
    13·1 answer
  • Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloo
    10·2 answers
  • Tính (1,5)4; ((-2)/3)3; (√3)5.
    8·1 answer
  • I need help ASAP will mark the brainliest
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!