A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%. What is the minimum sample size needed?.

Answer:

1 and 2

Step-by-step explanation:

The first and second option,

The others all have a number or variable with exponent which means it's a parabola and linear means straight lines and parabolas are no straight at all.

Answer: C

Step-by-step explanation:

Answer:

The answer is 2x+48

Step-by-step explanation:

1: Distribute

6(3x+4)-4(2x-6)-8x

18x + 24 - 4(2x-6)-8x

2: Distribute

18x + 24 - 4(2x-6)-8x

18x + 24 - 8x + 24 - 8x

3: Add the numbers

18x + 24 - 8x + 24 - 8x

18x + 48 - 8x - 8x

4: Combine like terms

18x + 48 - 8x - 8x

2x+48

Solution:

2x+48

Answer:

Step-by-step explanation:

1) Find the table

To find the numbers on the table, just substitute the number for x

If x = 0

y=-4x+3

y=-4(0) + 3

y= 0 + 3

y= 3

If x = 1

y=-4x+3

y=-4(1)+3

y= -4 + 3

y= -1

You can see a pattern, each x makes it go down by 4.

So the following will be...

if x = 2 -> -5

if x = 3 -> -9

2) Now fill in the table with the points

(0, 3) (Taken from the table, the x and y)

(1, -1)

(2, -5)

(3, -9)

3) Afterward draw a line through it. You will get your graph.

Answer:

Those sympathetic to slavery in Union border states, such as Kentucky and Delaware, did not support the Emancipation Proclamation because it granted freedom to slaves if their home southern states did not join the Union by January 1, 1863.

Missouri, Maryland, Kentucky and Delaware were slave holding border states and not in rebellion from the Union so the Proclamation did not effect their slaves. But, the area of the border states were closely linked to the South and held political, economic, geographic, and social connections to the Southern (and Northern) states. This led border states to not support the Emancipation Proclamation.

Step-by-step explanation:

Please Brainliest

The origin of the number zero is believed to be ancient India, where it was invented as a placeholder in the decimal system around the 5th century CE. The concept of zero as a number in its own right was a revolutionary idea that greatly advanced mathematical understanding and allowed for much more efficient mathematical calculation. From India, the use of zero spread to the Islamic world and eventually to the West. The modern representation of zero as a circle or a digit was introduced in the 13th century in India.

Answer:

\(\frac{2x^2-3x}{7}\)

Step-by-step explanation:

\(\frac{2x-3}{x}\) ÷  \(\frac{7}{x^2}\)

=> \(\frac{2x-3}{x}\) × \(\frac{x^2}{7}\)

=> \(\frac{2x-3}{7}\) × \(\frac{x^2}{x}\)

=>\(\frac{x(2x-3)}{7}\)

=> \(\frac{2x^2-3x}{7}\)

Answer:

for store a 260 + 20 times x and then store b 140 + 30 times x

Step-by-step explanation:

Answer:

wow

Step-by-step explanation:

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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A nonagon, sometimes known as an enneagon or a 9-gon, is a nine-sided polygon. In other words, a nonagon is a closed shape, two-dimensional figure with nine sides.

Assuming, of course, that you're in 2D. Your inquiry implies 2D because you mention "sides," however if you wanted to learn about 3D shapes, you would have asked about "faces," i.e., a nine-faced shape(solid), which is a "nonahedron". walterthewhale. September 11, 2011. It is an octagon.

A polygon with nine sides and nine angles is called a nonagon. Nonagon is created by adding the numbers nine and gon. A polygon is a closed, two-dimensional shape with three or more straight sides. Any object having straight edges, like a triangle or rectangle, is a polygon. Polygons do not include figures with open sides or any curved sides.

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The average rate of change of the quadratic function f(x) on the interval [0, 15] is equal to 23.

In Mathematics, the average rate of change of a function f(x) on a closed interval [a, b] can be determined by using this mathematical equation (formula):

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function f(x) over the interval [0, 15]:

a = 0; f(a) = -x² + 8x + 20

f(0) = -0² + 8(0) + 20

f(0) = 20

b = 9; f(b) = 365

f(15) = -15² + 8(15) + 20

f(15) = 365

By substituting the parameters into the average rate of change formula, we have the following;

Average rate of change = (365 - 20)/(15 - 0)

Average rate of change = 345/15

Average rate of change = 23.

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Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A right angle is an angle whose measure is equal to \(90^{o}\). As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.

Given: <ABC, <DEF are right angles.

The missing reasons in the steps of the proof are:

A: m<ABC = \(90^{o}\) and m<DEF = \(90^{o}\) (Meaning of a right angle)

B: m<ABC = m<DEF (By right angle property)

C: <ABC ≅ <DEF (Congruence property of angles)

Answer:

A: definition of right angle

B: substitution property

C: definition of congruent angles

Step-by-step explanation:

The two necessary instance variables for representing a fraction would be the numerator and the denominator.

The numerator represents the top part of the fraction indicating the number of equal parts being considered. The denominator represents the bottom part of the fraction indicating the total number of equal parts the whole is divided into.

These two variables are crucial for accurately representing and performing operations on fractions such as addition, subtraction, multiplication, and division. They allow for precise manipulation and comparison of fractional values within a programming class.

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The opposite side of the right triangle (x) is approximately 6.888 inches long.

To solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:

sin(35) = opposite/12

To solve for the opposite, we can multiply both sides by 12:

opposite = 12 * sin(35)

sin(35) as approximately 0.574:

opposite = 12 * 0.574

opposite ≈ 6.888

Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.

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The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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The equivalent ratios to tan F = EL/ EF = OS/OJ

Similar triangles are those with the same shape but different sizes. Similar triangles include all equilateral triangles and squares with any side length.

All related pairs of angles will be equal and corresponding sides of similar triangles will have the same ratio. The symbol '∼' is used to represent the similarity.

Given that

△FEL∼△JOS

That means △FEL and △JOS are similar triangles

As we know tan θ = Opposite side / Adjacent side

From the triangle △FEL,

=> tan F = EL/EF      

By the given information,

The similar triangle's corresponding sides will have the same ratio  

=> EL/ EF = OS/OJ

Therefore

The equivalent ratios to tan F = EL/ EF = OS/OJ

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The required probability is 0.6915.

To find the probability of selecting a tank with a capacity less than 8550 gallons, we have to do following calculations:

Probability that a randomly selected tank will have a capacity of less than 8550 gallons is given by = P(X < 8550 gallons)

     P(X < 8550 gallons) = P(  <  ) = P(Z < 0.50) = 0.6915

The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.6915.

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Step-by-step explanation:

4(a-3)=22

a-3=4-22

a-3=18

a=18+3

a=21

5(x-6)=65

x-6=65-5

x-6=60

×=60+6

x=66

hope it will help u...............

Answer:

a = \(\frac{34}{4}\)

x = 19

Step-by-step explanation:

First equation

Expand the brackets

4(a-3) = 22

4a - 12 = 22

Add 12 to both sides

4a - 12 + 12 = 22 + 12

4a = 34

Divide both sides by 4

4a ÷ 4 = \(\frac{34}{4}\)

a = \(\frac{34}{4}\)

Second equation

Expand the brackets

5(x - 6) = 65

5x - 30 = 65

Add 30 to both sides

5x - 30 + 30 = 65 + 30

5x = 95

Divide both sides by 5:

5x ÷ 5 = 95 ÷ 5

x = 19

Hope this helps!

Answer:

The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant

y/x ≠ Constant

Step-by-step explanation:

The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;

x; 1, 2, 3, 4, 5

y; 25, 40, 55, 70, 85

The rate of change of the data in the table is given by the following formula;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Between the 1st and the 3rd point, we have;

m = (55 - 25)/(3 - 1) = 15

Between the 1st and the 5th point, we have;

m = (85 - 25)/(5 - 1) = 15

Therefore, the rate of change of the y values  per unit change of the x-value is 15

Therefore, the "x" and y-values have a linear relationship

However, for a proportional relationship, we have;

y/x = Constant

At the 1st point, we have;

25/1 = 25

At the 3rd point, we have;

55/3 = 18.\(\overline 3\)

∴ y/x is not constant and the the data in the table does not represent a proportional relationship.

Based on the information provided, we have a random sample of 60 measurements taken from a population with a mean (µ) of 25 and a variance (σ²) of 200.

The mean of the sample (X) will be equal to the population mean, so X = 25.

To calculate the standard error (SE) of the sample, we use the formula SE = σ / √n, where σ is the population standard deviation and n is the sample size. Since the variance is given as 200, the standard deviation (σ) is the square root of 200, which is approximately 14.14.

Now, we can calculate the standard error: SE = 14.14 / √60 ≈ 1.82.

So, the pair for the mean and standard error of x is (25, 1.82).

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The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.

For the given condition,

Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.

Thus, the likelihood of their next (third) child having additional digits is 1/2.

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The equation in slope-intercept form that represents the data in the table.

is 90 = 30x + 30.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A table shows the costs for art show participants, including the $30 registration fee.

From the table when x = 0, y = 30, and when x = 2, y = 90.

(0, 30), (2, 90).

We know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (90 - 30)/(2 - 0) = 60/2 = 30.

∴ y = mx + b.

90 = 30x + 30.

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Answer:

15

Step-by-step explanation:

divide it by 10 or move the decimal point one place to the left.

so 150. would be 15.0 making it 15

Answer:

S(t) = 10 - 0.5t

Step-by-step explanation:

initial depth of snow = 10 inches

melting rate =  0.5 inches per hour

it means that, in one hour snow depth will decrease by 0.5 inches

thus , in t hours  snow depth will decrease by 0.5*t = 0.5t inches

Thus, depth of snow after t hours can be calculated by

we will take initial depth of snow and them subtract the depth of snow which melted in t hours.

we are subtracting as snow is melting and will thus decrease the depth of snow

depth of snow after t hours can = initial depth of snow - decrease of the depth of snow after snow melts for t hours

depth of snow after t hours can = 10 inches - 0.5t inches

                                                       =  (10 - 0.5t )inches

Thus ,S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling is S(t) = 10 - 0.5t