You conduct a poll in which you randomly select 1000 registered voters from New York City and ask if they approve of the job their mayor is doing. The population for this study is

There are three expressions having quotient 6 are:

4 2/3 ÷ 7/9

9 ÷ 3/2

12/7 ÷ 2/7

There are three expressions having quotient 9 are:

4 1/2 ÷ 1/2

21 ÷ 7/3

72/7 ÷ 8/7

The splitting of a large group into smaller groups such that every group will have an equal number of items.

We have,

Finding quotient for each expression.

1.

4 2/3 ÷ 7/9

= 14/3 ÷ 7/9

= 14/3 x 9/7

=6

2.

9 ÷ 3/2

= 9 x 2/3

= 6

3.

4 1/2 ÷ 1/2

= 9/2 x 2/1

= 9

4.

21 ÷ 7/3

= 21 x 3/7

= 9

5.

12/7 ÷ 2/7

= 12/7 x 7/2

= 6

6.

72/7 ÷ 8/7

= 72/7 x 7/8

= 9

Thus,

Expression having quotient 6:

- 4 2/3 ÷ 7/9

- 9 ÷ 3/2

- 12/7 ÷ 2/7

Expression having quotient 9:

- 4 1/2 ÷ 1/2

- 21 ÷ 7/3

- 72/7 ÷ 8/7

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Answer:

See below

Step-by-step explanation:

An equilateral triangle has all sides the same length. A scalene triangle has all sides different lengths. An isosceles triangle has two sides the same length.

ABC: isosceles

DEF: scalene

GHI: equilateral

KJR: scalene

STU: equilateral

YXZ: isosceles

Hope this helps!

The formula for the nth term of the sequence is n+1 = n+2, n+3, n+4,

You should recall that a sequence is an ordered list of numbers or objects that exhibit a particular pattern

The given parameter are 2, 3, 1, 4, 0

From the sequence, it is ascertained that each term is gotten by

1 ) First term = 2

2nd term = 2 + 1 = 3

3rd term = 2nd term - 1st term

⇒3-2 = 1

4th term = 3rd term +2nd term

⇒1 + 3 = 4

5th term = 4th -∑3rd + 4th

⇒4-4 = 0

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The equation of the linear function represented by the table in slope-intercept form is: y = -2x - 1.

We may utilize the slope-intercept form of a linear equation, which is provided by: to obtain the equation of the linear function represented by the table.

y = mx + b

where "m" represents the slope of the line, and "b" represents the y-intercept.

To calculate the slope (m), we can use the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Calculate the slope using the points (x₁, y₁) = (1, -3) and (x₂, y₂) = (4, -9):

m = (-9 - (-3)) / (4 - 1)

m = (-9 + 3) / (4 - 1)

m = -6 / 3

m = -2

Now that we have the slope, we can use it to solve for the y-intercept (b) by substituting it for one of the points (x, y) = (1, -3) in the slope-intercept form equation:

y = mx + b

-3 = -2(1) + b

-3 = -2 + b

b = -3 + 2

b = -1

As a result, y = -2x - 1 serves as the equation of the linear function shown in the table in slope-intercept form.

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Answer:

50.27

Step-by-step explanation:

Answer:

y=-x-10

Step-by-step explanation:

Answer:

add 8 to 2 and then multiply the 8 with 12.

Step-by-step explanation:

Out of the five options provided, Joe should choose the dimensions of the enlarged photo that have the same ratio as the dimensions of the original photo. The correct options in this case are 9 inches by 15 inches and 30 inches by 50 inches.

To determine which dimensions have the same ratio as the original photo, we need to compare the ratios of the lengths and widths of the original and enlarged photos. The ratio of the length to width for the original photo is 3:5.

Let's calculate the ratios for each of the options:

9 inches by 15 inches: The ratio of the length to width is 9:15, which simplifies to 3:5. This option has the same ratio as the original photo.

13 inches by 15 inches: The ratio of the length to width is 13:15, which does not match the original ratio of 3:5.

9 inches by 25 inches: The ratio of the length to width is 9:25, which does not match the original ratio of 3:5.

15 inches by 25 inches: The ratio of the length to width is 15:25, which simplifies to 3:5. This option has the same ratio as the original photo.

30 inches by 50 inches: The ratio of the length to width is 30:50, which simplifies to 3:5. This option has the same ratio as the original photo.

Therefore, the dimensions of the enlarged photo that will have the same ratio as the original photo are 9 inches by 15 inches and 30 inches by 50 inches.

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A spurious correlation is the implied causal relationships between events that are statistically  linked.

Spurious correlation;

A spurious correlation (or spuriousness) in statistics is an apparent causal relationship between two variables. Any reported dependencies between variables are solely the result of chance or are both a result of an unidentified confounder when there is misleading correlation.

When the price of higher education and the cost of living both rise, for instance, this doesn't necessarily indicate a causal link between the two factors because higher education tuition isn't always the result of rising living costs.

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To compute the probabilities and sketch the graphs, we can use technology such as a statistical software or a graphing calculator. The steps involved are as follows:

(a) For X ~ N(3.7, 4.55), to find P(3.0 ≤ X ≤ 4.0), we can use the normal distribution function with the given mean and standard deviation. By inputting the values into the software, it will calculate the probability for us. Similarly, for (b) X ~ N(62, 100), to find P(45 ≤ X ≤ 50), and (c) X ~ N(7.6, 12), to find P(8 ≤ X ≤ 9) and P(X ≥ 45), we can follow the same process.

Once the probabilities are computed, we can plot the corresponding graphs to visualize the probability distributions. Each graph will have the X-axis representing the variable X and the Y-axis representing the probability density. The graphs will show the range of X values and the corresponding probabilities within that range.

By utilizing technology, we can efficiently calculate the probabilities and create accurate graphs to visualize the distributions.

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The doubling time.

A) The exponential function that describes the amount in the account after time t in years is A(t) = 511969*e^(0.052*t), where A(t) is the amount in the account after time t, e is the base of the natural logarithm, and t is the time in years.

B) The balance after 1 year is A(1) = 511969*e^(0.052*1) = 538,926.41
The balance after 2 years is A(2) = 511969*e^(0.052*2) = 567,639.77
The balance after 5 years is A(5) = 511969*e^(0.052*5) = 661,234.83
The balance after 10 years is A(10) = 511969*e^(0.052*10) = 872,032.74

C) The doubling time is the time it takes for the amount in the account to double. We can find this by setting A(t) = 2*511969 and solving for t.
2*511969 = 511969*e^(0.052*t)
2 = e^(0.052*t)
ln(2) = 0.052*t
t = ln(2)/0.052
t = 13.33 years
So the doubling time is 13.33 years.

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If $7,000 is invested at 9% compounded monthly, Then after 16 years of investing $7,000 at 9% compounded monthly, the investment will be worth $26,385.68.

 To calculate the future value of the investment, you can use the formula for compound interest:

Future Value = Principal × (1 + (Rate / Number of Compounding Periods))^(Number of Compounding Periods × Time)

In this case:
- Principal (amount invested) = $7,000
- Rate = 9% = 0.09
- Number of compounding periods (monthly) = 12
- Time = 16 years

Now, let's plug in the values into the formula:

Future Value = $7,000 × (1 + (0.09 / 12))^(12 × 16)

Future Value = $7,000 × (1 + 0.0075)^(192)

Future Value = $7,000 × (1.0075)^192

Future Value ≈ $7,000 × 3.6609

Future Value ≈ $25,626.29

So, after 16 years, the investment will be worth approximately $25,626.29, rounded to two decimal places.

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Answer:

yes I will get suspicious and then

Step-by-step explanation:

he was in a meeting

Answer:

(-2,0)  (0,4)

Step-by-step explanation:

Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.

According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.

This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.

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The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

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The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.

Answer:  The correct answer is x = 19 / 5

Step-by-step explanation:

Solve the equation

5x + 3 = 22

Subtract 3 from both sides

5x + 3 − 3 = 22 − 3

5x = 19

Divide both sides by 5

5x/5 = 19/5

x = 19 / 5

Answer:

the answer would be a % because of the divisibility rule

Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

The x-coordinate of the vertex is 0.  the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.

The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.

To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.

Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation  A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.

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Using the given linear function, it is found that the expressions are given by:

It is:

4x - 3y = 12.

To find y in terms of x, we isolate y, hence the expression is given by:

\(3y = 4x - 12\)

\(y = \frac{4x}{3} - 4\)

To find x in terms of y, we isolate x, hence the expression is given by:

\(4x = 12 + 3y\)

\(x = \frac{3y}{4} + 3\)

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Neither statement 1, nor statement 2 are correct

The given Stephon's statements are;

Statement 1; \(\mathbf{\lim \limits _{x \to -3} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to -3} f(x) = 1}\)

Statement 2; \(\mathbf{\lim \limits _{x \to 1} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to 1} f(x) = 1}\)

The analysis of the graph and reason for the answer

From the graphed line on the left of the y-axis, we have an open circle at x = -3, and an arrow at the other end pointing towards negative infinity, (-∞) which indicates that the domain is -∞ ≤ x < -3, therefore, at x = -3, f(x) does not exist, therefore, we can write the following statement

The limits of the domain and range of the graph includes;

\(\mathbf{\lim \limits _{x \to -3} f(x)} = \mathbf{Does \ not \ exist}\)

f(x) = Defined for -∞ ≤ x < -3

Similarly, from the graphed line on the right of the y-axis, we have an open circle at x = 1 and an arrow at the other end of the line f(x) = 4 pointing towards positive (+∞) infinity, which indicates the domain and the graph of the function is 1 < x ≤ ∞ , therefore, f(x) does not exist at x = 1, and we can write

\(\mathbf{\lim \limits _{x \to 1} f(x)} = \mathbf{Does \ not \ exist}\)

From we above, we have that neither statement 1, nor statement 2 are correct

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Step-by-step explanation:

the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.

we have here 5 edges, so the sum of all 5 angles is

(5-2)×180 = 3×180 = 540°.

now, let's simply calculate

5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540

43x - 62 = 540

43x = 602

x = 14

therefore,

angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°

The expression that will give the distance between points is option D i.e. √(2 - 4)² + (3 + 3)². The solution has been obtained by using distance formula.

What is the distance formula?

The distance between two locations on a coordinate plane can be calculated using the distance formula. The distance equation is written as d = √(x₂ - x₁)² + (y₂ - y₁)².

We are given two points as (2,3) and (4,-3).

So, x₁ = 2, y₁ = 3, x₂ = 4, y₂ = -3

Now, substituting these values in the distance formula, we get

d = √(2 - 4)² + (3 + 3)²

Hence, the expression that will give the distance between points is option D.

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Full question has been attached below

Therefore, the correct inequality to find the domain is simply x - 3 < 0, which simplifies to x < 3.

To find the domain of a function, we need to determine all the values of the independent variable (usually represented by x) that the function is defined for. In this case, the function is defined as f(x) = x - 3, which means we can plug in any value of x into the expression x - 3 to get a corresponding value of f(x).

However, there are some values of x that would cause the expression x - 3 to be undefined. For example, if we were trying to find f(x) when x = 2, we would get f(2) = 2 - 3 = -1, which is a valid output. But if we were trying to find f(x) when x = 3, we would get f(3) = 3 - 3 = 0/0, which is undefined.

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Answer:

Absolute value is the distance of a point from zero

Step-by-step explanation:

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Slope can be determined by using two points (x1, y1) and (x2, y2) and putting them in rise-over-run format (rise-over-run is equal to slope)

in this case we can use (3, 2) as (x1, y1) and (0, 0) as (x2, y2)

Rise-over-run format is: \(\frac{y2 - y1}{x2 - x1}\)

so substitute our number in and you get: \(\frac{2-0}{3-0}\)

solve to get: \(\frac{2}{3}\)

this is your slope

Answer:

Step-by-step explanation:

50(0.975)^30

= 23.39 Round if necessary to 23.40

The amount of Ib of chromium will be 23.40 if one type of chromium has a radioactive decay rate of 2.5% per day.

It is defined as the factor that represents the increase and decrease in value by that factor. For the growth add one as a decimal and for the decay subtract one as a decimal.

It is given that:

One type of chromium has a radioactive decay rate of 2.5% per day.

y = 50(0.975)×

y = 50(0.975)³⁰

= 23.39

= 23.40

Thus, the amount of Ib of chromium will be 23.40 if one type of chromium has a radioactive decay rate of 2.5% per day.

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