a political scientist investigated the effect of political advertisements on the way that people voted in the presidential election. they want to do a hypothesis test to determine if political advertisements influenced the vote of less than 31% of all voters. the political scientist randomly surveyed 2509 voters and asked if political advertisements influenced the way the person voted. 709 said the advertisements did influence their vote. calculate the test statistic. round your final answer to two decimal places.

Answer:

  a. 885,920

  b. year 8

Step-by-step explanation:

The population at a given time is described by the exponential formula ...

  P(t) = P0·e^(-0.04t)

where P0 is given as 1,000,000.

We are asked for the value of P(3). This ccan be found by substituting 3 for t in the equation and evaluating the numerical expression.

  P(3) = 1,000,000·e^(-0.04·3) = 1,000,000·e^(-0.12)

  P(3) ≈ 886,920

The population when t=3 is about 886,920.

__

We can put the given numbers in the equation and solve for t.

  750,000 = 1,000,000·e^(-0.04t)

  0.75 = e^(-0.04t) . . . . . divide by 1,000,000

  ln(0.75) = -0.04t . . . . . take the natural log

  -ln(0.75)/0.04 = t ≈ 7.192

The population will drop below 750,000 in year 8.

_____

Additional comment

These values can be confirmed by a graphing calculator.

Note that "year 1" is the year between t=0 and t=1. So, "year 8" is the year between t=7 and t=8.

Answer:

Step-by-step explanation:

How many solutions does each of the following equations have?

6(x-3)+12=6x-6

6x - 18 + 12 = 6x - 6

-18 + 12 = -6

-6 = -6

0 = 0

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Answer:

k - 8.1 > 24

Step-by-step explanation:

difference = subtraction

greater than 24 = > this sign

Density curves can occur in a variety of shapes, depending on the distribution of the underlying data.

The normal distribution is the most commonly encountered density curve, other shapes are also possible, including skewed, bimodal, uniform, and multimodal distributions.

A skewed density curve can be either positively skewed, where the tail is longer on the right-hand side, or negatively skewed, where the tail is longer on the left-hand side.

A density curve for income data might be positively skewed, since there are more people with lower incomes than with higher incomes, and the higher incomes have a longer tail to the right.

Another type of density curve is the bimodal distribution, which has two peaks or modes.

This can occur when there are two distinct groups or populations within the data, such as in the case of height data for men and women.

Density curves can also take on other shapes, such as a uniform distribution where all values are equally likely, or a multimodal distribution where there are more than two modes.

Density curves can occur in a variety of shapes depending on the underlying distribution of the data.

The normal distribution is the most commonly encountered density curve, other shapes are also possible, including skewed, bimodal, uniform, and multimodal distributions.

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Answer:

Step-by-step explanation:

Confidence interval for population proportion is expressed as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

From the information given,

Sample proportion, p = 65/100 = 0.65

q = 1 - 0.65 = 0.35

n = 200

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Margin of error = 1.96√(0.65)(0.35)/200

Margin of error = 0.066 = 6.6%

The maximum boundary of the interval is

0.65 + 0.066 = 0.716

Answer:

y value

Step-by-step explanation:

when you write an ordered pair the first number is your x and the second number is your y. these make a point on a graph.

(x,y)

Answer:

a

Step-by-step explanation:

Answer:

x = 4 , y = 1

Step-by-step explanation:

3x + 2y = 14 → (1)

x + y = 5 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 2x - 2y = - 10 → (3)

Add (1) and (3) term by term to eliminate y

x = 4

Substitute x = 4 into (2) and evaluate for y

4 + y = 5 ( subtract 4 from both sides )

y = 1

Answer:

True

Step-by-step explanation:

This is an Isosceles triangle because it has two equal sides.

Vertical stretch/compress is the result which is formed when  a function is multiplied by a positive constant.

This refers to an expression that defines a relationship between two types of variables in which one is the independent variable and the other is the dependent variable.

A vertical stretch is derived if the constant is greater than one while the vertical compression is derived if the constant is between 0 and 1.

Vertical stretch means that the function is taller as a result of it being stretched while vertical compress is shorter due to it being compressed and is therefore the most appropriate answer.

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That would be 194 my friend!

Answer:

194

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

cos 30 = 9/x

x = 9/(\(\sqrt{3}/2\)) = 6\(\sqrt{3}\)

(6\(\sqrt{3}\))² - 9² = x²

x² = 27

x = 3\(\sqrt{3}\)

The ordered pair which represents the points D is (-4, -4). So option A is correct.

Every point in a plane using a Cartesian coordinate system is uniquely identified by a pair of numerical coordinates.

Given here : the Point D in the graph.

An ordered pair of numbers, known as an x-coordinate and a y-coordinate respectively, can be used to represent each point in a graph. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate).

The starting point is at (0,0).

It is easy to see that the point D is located to the right of the x-axis, -4 units and -4 points from the y-axis, respectively.

In the coordinate plane, it is likewise located in the third quadrant.

Hence, The point must be (-4,-4)

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

choose the last option

Step-by-step explanation:

Given

g(a) = a² - 5a

f(a) = 4a - 4

Now

g(a) / f(a)

= (a² - 5a) /( 4a - 4)

Hope it will help :)

Answer:

the answer is A :)

Step-by-step explanation:

The expression (19 - (3 × 5)) × 20 is Equivalent to 80.

We are given a mathematical expression:19 - 3 × 5 19 - 3 × 5 19−3×519−3×5

We are to put the parentheses to make it equivalent to 80.

Since we know that multiplication has to be carried out before subtraction,

so if we put a pair of parentheses around 3 and 5, it will tell the calculator to do the multiplication first.

Thus, we have:(19 - (3 × 5))We can simplify this expression further as: (19 - 15) = 4

Therefore, the expression (19 - (3 × 5)) is equivalent to 4, but we need to make it equal to 80.

So, we can multiply 4 by 20 to get 80, i.e. we can put another pair of parentheses around 19 and (3 × 5) as follows:(19) - ((3 × 5) × 20)

Now, simplifying this expression we get:19 - (60 × 20) = 19 - 1200 = -1181

Therefore, the expression (19 - (3 × 5)) × 20 is equivalent to 80.

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Answer:

219362.5

Step-by-step explanation:

219362.5 because 190750÷10=19075

19075÷2= 9537.50

19075+9537.50=28612.50

219362.5+28612.50=219362.5

Answer:

7.6 times 10 to the 6th power

Step-by-step explanation:

7.6 for the first two digits and there are 6 zeros so to the 6th power. Hope this helped!

Step-by-step explanation:

7.6 x 10^7

Answer:

2.5 pounds of meat

Step-by-step explanation:

One pound of meat is equal to 16 OZ

First you will get 4dz

Answer:

18

Step-by-step explanation:

Bisecting a line means to cut it at the middle.

Meaning we can set 3x = 27.

x=9

2x=18

Brainliest Please

Answer:

-4 < -1

-1 < 4

Step-by-step explanation:

Negative numbers are always smaller than positive numbers (number line)

Therefore,

-4 < -1 < 2 < 4

Answer:

A and D    

Step-by-step explanation:

Answer:

64, 65, 66

Step-by-step explanation:

16 x 4 = 64

13 x 5 = 65

6 x 11 = 66

^^

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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The rate at which the snake  ganing weight is  is dw/dt = k * 0.3

To find the rate at which the snake is gaining weight, we can use the given information about its length and growth rate.

Given:

Length of the snake (x) = 0 meters

Growth rate of the snake (dx/dt) = 0.3 meters/year

We know that the weight of the snake is directly proportional to its length. Let's assume the weight of the snake (w) is given by the formula:

w = k * x

where k is a constant.

To find the rate at which the snake is gaining weight (dw/dt), we need to differentiate the equation with respect to time (t):

dw/dt = d(kx)/dt

Using the product rule of differentiation, we have:

dw/dt = k * dx/dt

Substituting the given value for the growth rate (dx/dt = 0.3 meters/year):

dw/dt = k * 0.3

To determine the value of k, we need additional information or assumptions. Without that information, we cannot determine the specific weight gain rate in grams per year.

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Answer:

this is your answe

Step-by-step explanation:

The total straight line flight distance from Jacksonville, FL to Phoenix, AZ is 1,795 miles. This is equivalent to 2 888 kilometers or 1,559 nautical miles.