New York City mayor Michael made it his mission to reduce smoking in New York City. New York city’s adult smoking rate is 13.2%. In a random sample of 3932 New York City residents, how many of those people smoke? Round to the nearest integer

The growth or decay of an original quantity C that increases or decreases in a p% per year after t years is given by the following equation:

If the quantity increases (i.e. it growths) we use the + symbol inside the parenthesis. If the quantity decreases we use the - symbol. This implies that for a growth the term that is raised to t is greater than 1 and for a decay that term is smaller than 1.

Now let's compare that generic equation with the function given by the question:

One of the first things you can notice is that C=3000 which means that the initial price was $3000. Just to be sure that this is correct we can evaluate p(t) at t=0:

So the initial price was $3000.

Now let's compare the terms inside parenthesis that are raised to t:

As I stated before, if the term raised to t is greater than 1 then we are talking about a growth. 1.019 is greater than 1 so this function represents a growth. What's more, in the right side of the equation we must use the + symbol. This way we have an equation for the yearly percentage of change of the price:

We can substract 1 from both sides of this equation:

And we multiply both sides by 100:

So each year the price increases in a 1.9%.

Then the answers in order are:

$3000

growth

1.9%

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expression

STEP 2: Evaluate the expression

It can be seen that the result of the expression is 0.12

Hence, there are 2 digits after the decimal point for the product

Let's begin by listing out the information given to us:

m∠ABC = 3x + 3

m∠DEF = 5x - 33

From the question, m∠ABC & m∠DEF are identical (have same properties)

m∠ABC = m∠DEF

3x + 3 = 5x - 33

Put like terms together (add 33 - 3x to both sides)

3x - 3x + 3 + 33 = 5x - 3x - 33 + 33

36 = 2x; 2x = 36

x = 18

To calculate the interest earned, we can use the following equation:

Where P is the value of the deposit, i is the interest rate and n is the number of periods of time.

First, we need to calculate the equivalent value of 1 1/8 % as:

So, replacing P by $50,000, i by 0.01125, and n by 6, we get:

Answer: $ 3,471.3577

In order to translate the words into a number sentence, first let's translate each word or expression separately:

Four less than seven: "7 - 4"

Is greater than: ">"

Zero: "0"

Therefore the number sentence will be:

we are given two recipes for cookies and we are asked which of the two contains more sugar. To do that we need to find the amount of sugar per cookie for each recipe.

For recipe A we have:

This means:

For recipe B we have:

This means:

Since 1/18 is greater than 1/24, this means that there is more sugar per cookie in recipe B than in recipe A.

Okay, here we have this:

Considering the provided inequation, we are going to identify how can be represented on a number line, so we obtain the following:

So the first thing we will do is factor to find the solution intervals, we have:

According to this, we finally obtain that the solution interval is option D, because it satisfies the found interval and its endpoints are closed.

Answer:

y = 11

Step-by-step explanation:

Hello!

We can utilize the slope formula to create the equation for y:

The value of y is 11.

In the graph you can see that the line passes through 2 points (-4,0) and (0,2). With them you can obtain the equation of the line. First you find the slope of the line with the following equation

So you have,

Now, with the point slope equation you can obtain the equation of the line

Therefore, the equation of the line is

Answer:

[tex]\displaystyle d=\sqrt{85}\text{, or about 9.22 units}[/tex]

Step-by-step explanation:

          We will use the distance formula to solve.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(1--5)^2 +(-2-5)^2}[/tex]

[tex]\displaystyle d=\sqrt{(6)^2 +(-7)^2}[/tex]

[tex]\displaystyle d=\sqrt{36+49}[/tex]

[tex]\displaystyle d=\sqrt{85}\text{, or about 9.22 units}[/tex]

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To find the scaled measures of the race car, you have to divide the original measures by the scale. This is:

So the scaled measures of the race car are: length=22.75in and height=9in

The value of the expression x² + 5x + 4 is found as 4.

for the given question,

The quadratic expression is given as;

= x² + 5x + 4

Put x = -5

= (-5)² + 5(-5) + 4

Simplifying.

= 25 - 25 + 4

25 will get cancelled.

= 4

Thus, the value of the expression is found as 4.

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okay so the answer is 9ft so option B

now we can take a look at how we arrived to that answer

do you know the formula for the volume?

Every parallel line would have the same slope because the slope formula is Δy/Δx and the difference would be the same, so the slope for the line with the given points would be -1/6, or roughly 0.167.

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a fixed minimum distance between them and no contact or intersection are said to be parallel.

A line's steepness can be determined by looking at its slope. In mathematics, slope is determined by dividing the change in y by the change in x. Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Here the coordinates are (-6,0) and (0,-1)

ΔX = 0 – -6 = 6

ΔY = -1 – 0 = -1

Slope (m) =ΔY/ΔX

=-1/6

= -0.16666666666667

≈-0.167

The slope for the line with the given points would be -1/6, or roughly 0.167, because the slope formula is Δy/Δx and the difference would be the same for every parallel line.

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To answer this question we will use the trigonometric function cosine.

Recall that in a right triangle:

Using the given diagram we get that:

Multiplying the above result by 26 we get:

Therefore:

Answer:

Given:

The set of data is given as

Required:

To find the mean.

Formula:

Explanation:

Mean is the ratio of the sum of the values and the number of values.

No of values in the given data is 7.

Final Answer:

Answer:

Probability distribution:

x (million) P(x)

13 0.17

9 0.27

4 0.45

0 0.11

Mean: 6.44

Standard deviation: 4.04

Explanation:

The probability distribution is a table that shows the profits earned and its respective probabilities, so:

x (million) P(x)

13 0.17

9 0.27

4 0.45

0 0.11

Then, the mean can be calculated as the sum of each profit multiplied by its respective probability. Therefore, the mean E(x) is equal to:

E(x) = 13(0.17) + 9(0.27) + 4(0.45) + 0(0.11)

E(x) = 2.21 + 2.43 + 1.8 + 0

E(x) = 6.44

Finally, to calculate the standard deviation, we first need to find the differences between each value and the mean, and then find the square of these values, so:

x x - E(x) (x - E(x))²

13 13 - 6.44 = 6.56 (6.56)² = 43.03

9 9 - 6.44 = 2.56 (2.56)² = 6.55

4 4 - 6.44 = -2.44 (-2.44)² = 5.95

0 0 - 6.44 = -6.44 (-6.44)² = 41.47

Then, the standard deviation will be the square root of the sum of the values in the last column multiply by each probability:

Therefore, the answers are:

Probability distribution:

x (million) P(x)

13 0.17

9 0.27

4 0.45

0 0.11

Mean: 6.44

Standard deviation: 4.04

Answer:

11 and -11.  Usually you only want the positive form

Step-by-step explanation:

[tex]\sqrt{121}[/tex]  is asking what number times itself is 121?  11

11 x 11 = 121

-11 x -11 = 121

The smallest value of length AC would be 5 ft - 3 ft = 2 ft while the largest length would be 5 ft + 3 ft = 8ft. The answer will be

2 < Ac < 8

Answer:

Lower limit: 11.7 cm

Upper limit: 16.263

Explanation:

The formula to find the lower and upper limits of the confidence interval (given the data is normally distributed) is :

Where:

• μ = sample mean

• σ = sample standard deviation

• Z* = critical value of the z-distribution

• n = is the sample size

In this case:

• μ = 14cm

• σ = 4cm

• n = 12

The critical value of the z-distribution for a confidence interval of 95% is Z* = 1.96

Now, we can use the formula above to find the upper and lower limit:

Thus:

Rounded to one decimal:

Lower limit: 11.7cm

Upper limit: 16.3cm

Step 1: State the given in the question

THe following were given:

Step 2: State what is to be found

We are to find the absolute loss

Step 3: Calculate the selling price

Please note that the selling price is the marked down price

The marked down price would be

The selling price is the marked down price which is $189.74

Step 4: Calcualte the operating expenses

Please note that the cost price is amount paid. Therefore, the operating expenses would be as calculated below:

Hence, the operating expenses is $58.38

Step 5: Calculate the total cost price

The total cost price is the addition of the cost price and the operating expenses. This is as calculated below:

Hence, the total cost price is $266.88

Step 6: Calculate the absolute loss

The absolute loss is the difference between the total cost price and the marked down price (or the actual selling price). This is as calculated below:

Hence, the absolute loss is $77.14

The Suzie Chan's yearly salary is 156,426 .

The Westway deduct $9,698.412 for Suzie's social security for the year.

The Westway deduct $2268.177 for Suzie's Medicare for the year.

The state unemployment taxes worth $7977.726 deducted from Suzie's salary.

The FUTA taxes worth $938.556 deducted from Suzie's salary.

What is tax?

A tax is a mandatory financial charge or other sort of levy placed on a taxpayer (an individual or legal entity) by an administrative body to pay for certain public expenditures and administrative costs (regional, local, or national).

It is given in the question that weekly salary of Suzie is $3,000.

we know that, there are 365 days in a year and 7 days in a week.

Therefore, weeks in a year = 365/7 = 52.142

Yearly salary is equal weekly salary times weeks in a year.

Yearly Salary = (3000)52.142

yearly Salary = $156,426

Social security taxes are 6.20%

So, 6.20% of 156,426 is $9,698.412

Therefore, The Westway deduct $9,698.412 for Suzie's social security for the year.

Medicare taxes are 1.45%

So, 1.45% of 156,426 is $2268.177

Therefore, The Westway deduct $2268.177 for Suzie's Medicare for the year.

The state unemployment taxes are 5.10%

So, 5.10% of 156,426 is $7977.726

Therefore, The state unemployment taxes worth $7977.726 deducted from Suzie's salary.

The FUTA taxes are 0.60%

So, 0.60% of 156,426 is $938.556

Therefore, The FUTA taxes worth $938.556 deducted from Suzie's salary.

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1)

2)

3)

4)

formula for simple intrest

A= p(1+rt)

= 300(1+ 3.5 * 4)

=300( 15)

4500

after 4 years he has $4500

the company's profit in 2015 was $89,600,000 (89.6 million dollars)

43%

Profit in 2011 = $128 million

Profit in 2015 decreased by 30%

% decrease = (old price - new price)/old price

old price = Profit in 2011 , new price = Profit in 2015

30% = (128,000,000 - new price)/128000000

Hence, the company's profit in 2015 was $89,600,000 (89.6 million dollars)

Percentage increase = (new price - old price)/old price

new price = 128million dollars , old price = 89.6 million dollars

% increase = [(128 - 89.6)in millions/(89.6) in millions] × 100

% increase = 38.4/89.6 × 100

% increase = 0.43 × 100

% increase = 43%

Hence, the label's profit must increase by 43% from its 2015 value to reach $128 million within the next two years

Given the graph of f(x):

Where the points A, B, and C have the coordinates:

Now, the transformation -f(x) is just a reflection about the x-axis. This is equivalent to a change of sign on the y-coordinate. The new points A', B', and C' are:

And the graph looks like this:

Now, for the f(x) - 2 transformation, we see that this is just a shift of 2 units down. Then:

Where:

The required point-slope form of the equation of the line exists y + 9 = 4/3 (x + 9).

A slope of a line exists the change in the y coordinate with respect to the change in the x coordinate. The net change in the y-coordinate exists defined by Δy and the net change in the x-coordinate exists defined by Δx. Where “m” exists the slope of a line. So, tan θ to be the slope of a line.

The slope of the line exists a tangent angle created by line with horizontal.

i.e. m = 4/3 where x in degrees.

The point-slope of the equation of the line is given by,

y - y₁ = m(x - x₁)

Put the values in the above equation of the line

y - (-9) = 4/3 (x - (-9))

y + 9 = 4/3 (x + 9)

Therefore, the required point-slope form of the equation of the line is y + 9 = 4/3 (x + 9).

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Answer:

Step-by-step explanation:

We should know that :

1 pound = 16 ounces

The question is :

Which is more, 1/2 of a pound or 6 ounces?

so,

1/2 of a pound = 1/2 x 16 = 8 ounces

So,

8 ounces > 6 ounces

so, the answer is option 1

The more is 1/2 of a pound