A newspaper editor wants to investigate whether the residents of two
counties support the proposal to build a wind farm. She plans to take an
SRS of 30 residents from the southern county and 40 residents from the
northern county, then look at the difference (southern - northern)
between the proportions of residents that support the proposal in each
sample. Suppose that 65% of the residents of the southern county and
52% of the residents of the northern county approve.
What are the mean and standard deviation of the sampling distribution of
the difference in sample proportions?

3 +(-2.0) - 15 1/4 as a rational number is -11/4.

3 +(-2.0) - 15 1/4 as a rational number

=3-2.0  -15(1/4)

= 1-(15/4)

=-11/4

A rational number is a sort of real number that has the formula p/q where q is not equal to zero. A rational number is any fraction having non-zero denominators. Examples of rational numbers are 1/2, 1/5, 3/4, and so on. The number "0" is also a rational number since it may be represented in a variety of ways, including 0/1, 0/2, 0/3, and so on. However, 1/0, 2/0, 3/0, and so on are not rational because they give us unlimited values. Also, look at irrational numbers and compare them to rational numbers.

To learn more about rational number  visit , https://brainly.com/question/17226900

#SPJ9

The sale prices of the toys obtained from their original prices and the percentage discounts are;

Toy \({}\)                                   The selling price of the

Truck  \({}\)                               $16.99

Ball   \({}\)                                  $11.04

Doll  \({}\)                                  $5.95

Game system   \({}\)                 $192.97

Airplane   \({}\)                          $107.41

A percentage is the expression of a ratio or fraction between two quantities in which the denominator of the fraction is 100.

From the a similar question online, we have;

The  price of the truck = $16.99

The original price of the doll = $16.99

Original price of the ball = $16.99

Original price of the game system = $280 + $16.88 = $296.88

Original price of the airplane = $296.88 + $10 = $306.88

The sale prices are therefore;

Sale price of the ball = $16.99 - 35% × $16.99 ≈ $11.04

Sale price of the doll = $16.99 - 65% × $16.99 ≈ $5.95

Sale price of the game system = $296.88 - 35% × $296.88 ≈ $192.97

Sale price of the airplane = $306.88 - 65% × $306.88 = $107.41

Learn more about percentages here:

https://brainly.com/question/24339661

#SPJ1

Answer:

2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05

Step-by-step explanation:

Answer:

The normal price of each cookie is n = c = $1.15.

Step-by-step explanation:

Represent the normal cookie price by n.

Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.

We simplify this equation by dividing both sides by 7, which results in:

n - $0.75n = $0.40.

Combining like terms, we get

n = $1.15

The normal price of each cookie is n = c = $1.15.

The value of missing x = 5

The value of missing y = 17 / 3

The standard line equation, y = mx + b, or the slope formula, m = (y2 - y1)/(x2 - x1), can both be used to find the slope, m.

According to the given information

Let two points be \((x_{1} , y_{1} )\) and \((x_{2} , y_{2} )\) are ( 3 , 8 ) and ( 6 , 15 )

Slope of the two points = \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)

                                       = \(\frac{15-8}{6-3}\)

                                       = 7 / 3

Let the equation passing through points  ( 3 , 8 ) be

\(( y - y_{1}) = m(x - x_{1})\)

y - 8 = 7/3( x - 3 )

3y - 24 = 7x - 21

3y = 7x - 21 + 24

3y = 7x + 3

When x = 2

3y = 14 + 3

y = 17 / 3

When y = 38/5

114/3 = 7x + 3

7x = 114/3 - 3

21x = 114 - 9

x = 5

So

The value of missing x = 5

The value of missing y = 17 / 3

To know more about Slope

https://brainly.com/question/6328621

#SPJ1

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

<95141404393>

In this triangle, the product of sin B and tan C is\(b^2/(ac)\)  , and the product of sin C and tan B is \(c^2/(ab)\).

In a right-angled triangle ABC, where angle A is 90 degrees, we have the following side lengths:

AB = c (base)

BC = a (hypotenuse)

AC = b (perpendicular)

We need to calculate the products of sin B and tan C, and sin C and tan B.

First, let's calculate sin B and tan C:

sin(B) = opposite/hypotenuse = AC/BC = b/a

tan(C) = opposite/adjacent = AC/AB = b/c

The product of sin B and tan C is sin(B) * tan(C) = (b/a) * (b/c) = \(b^2\)/(ac).

Next, let's calculate sin C and tan B:

sin(C) = opposite/hypotenuse = AB/BC = c/a

tan(B) = opposite/adjacent = AB/AC = c/b

The product of sin C and tan B is sin(C) * tan(B) = (c/a) * (c/b) = \(c^2\)/(ab).

Therefore, in the given right-angled triangle ABC, the product of sin B and tan C is\(b^2\)/(ac), and the product of sin C and tan B is \(c^2\)/(ab).

These formulas hold true for any right-angled triangle, where the base is AB, the hypotenuse is BC, and the perpendicular is AC.

For more such information on: triangle

https://brainly.com/question/29869536

#SPJ8

The question probable may be:

In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.

As given by the question

There are given that the red squares box is 3, and the yellow squares box is 2.

Now,

The

Answer:

Step-by-step explanation:

The only graph shown in the question doesn't have amplitude 1/2. look for a graph of a periodic wave function that has maximum y-value 1/2 (0.5) and minimum y-value 1/2 (0.5), or if it is not oscillating around the x-axis, verifies that the distance between minimum y-value and maximum y-value is "1" (one). This is because the amplitude is half of the peak-to-peak distance.

Look at the attached image as example.

Answer:

Answer is B

Step-by-step explanation:

Did it on Edge

Answer: The correct answer would be D

Step-by-step explanation:

I’m just guessing ;)

Answer:

The number is 43

Step-by-step explanation:

The difference between 131 and 2x (I'm rewriting it algebraically) is 45. So we need to find x. We do that by doing this equation

131 - 45 = 86

So since 86 is what 2x equals, we divide it by 2 to get x

86 ÷ 2 = 43

So x = 43

The value of 57.17 as a mixed number is - 57 17/100.

A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.

In this case, -57.17 will be:

= -57 + (17/100)

= -57 17/100.

Learn more about mixed number on:

https://brainly.com/question/414559

#SPJ1

Answer:

  $0.49 per soda

Step-by-step explanation:

The cost per soda is found by dividing the cost by the number of sodas.

__

  $5.86/(12 sodas) = $0.48833.../soda ≈ $0.49/soda

The unit rate is $0.49 per soda.

Answer:

c

Step-by-step explanation:

131-69= 62

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

To know more about Conversion here

https://brainly.com/question/15743041

#SPJ1

Answer:

c b a

Step-by-step explanation:

Answer:

cba

Step-by-step explanation:

sorry if its wrong

Answer: 66/7 or 9.428571429 or 9.43 rounded.

Answer:

The numbers 3(pi)/2, 5(pi)/2 satisfy the conclusion of Rolle's Theorem

Step-by-step explanation:

1. The function must be continuous.  

Trigonometric functions are continuous.  

2.  It must be true that f(a) = f(b) = 0

For this case sin(pi) = sin(3pi) = 0

3. Therefore by Rolle's Theorem, there exist a point, x, such that f(x) = 0

For this case f(x) = cos(x)

And cos(x) = 0 at x = 3(pi)/2,5(pi)/2

Answer:

Step-by-step explanation:

The nomebers are equivalent (true)

opposites. (true)

produt 1 (false)

a positive value (false)

last on don't now but I think it's (false)

9514 1404 393

Answer:

  $1.75

Step-by-step explanation:

The increase is 5% of $35:

  0.05 × $35.00 = $1.75

The family's monthly payment will increase by $1.75.

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

For more such questions on inference, click on:

https://brainly.com/question/25913650

#SPJ8

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

Answer:

0.877 but rounded it will be 0.88

Answer:

\(4x - 6 + 2x - 4 = 2 + 3x \\ 4x + 2x - 3x = 2 + 6 + 4 \\ 3x = 12 \\ \\ x = \frac{12}{3} \\ \\ x = 4\)

I hope I helped you^_^

Answer:

4x-6+2x-4=2+3x

4x+2x-3x=2+6+4

6x-3x=12

3x/3=12/3

x=4

Answer:

The equation of the new function is \(g(x) = \frac{\sqrt{x}}{2}\)

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

\(f(x) = \sqrt{x}\)

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

\(\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}\)

The equation of the new function is \(g(x) = \frac{\sqrt{x}}{2}\)

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

Learn more about triangle here:

https://brainly.com/question/28470545

#SPJ1

Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

Answer:

675

Step-by-step explanation:

Answer:

The answer is 40.

Step-by-step explanation:

Calculate within the parenthesis. After calculate the outside by the inside.

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

For more questions Pythagorean theorem:

https://brainly.com/question/343682

#SPJ8