The number of students who smoke cigarettes at Broxton College is decreasing at a rate of one smoker every 6.21 days. At whatrate in smokers per year is the number of smokers declining? Assume 365 days in a year and round to the nearest tenth of asmoker per year.Select one:O a. 52.6 smokers/yearO b. 65.0 smokers/yearOC. 58.8 smokers/yearO d. 69.7 smokers/year

Answer: 360

Step-by-step explanation:

Well if you take 640miles and divide it by 16 gallons you get 40mpg so if you get 40mpg times that by 9 and you get 360miles

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

There are 8 percent of customers who are males

Step-by-step explanation:

if 92 percent are females that would mean that the rest of that 8 percent are males

Answer:

C

Step-by-step explanation:

X can’t have 2 y’s

Answer:

Step-by-step explanation: you have to multiply each fraction

Answer:

Ok, if the volume = length x width x height, then why don't you multiply

3 2/3 x 4 1/8 x 2 1/2 and get your answer.  Do you want someone else to do that for you?  You should know how to do that 5th grade multiplication, so get with  it and do it, because I'm not going to do it for you.

Step-by-step explanation:

Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

The value of x based on the information about the triangle is 3.

It should be noted that the total sum of angles in a triangle is 180°. Based on the information given, this will be illustrated as:

180 - (180 - 140) - (180 - 99)

= 180 - 40 - 81

= 59

Therefore, 41x - 2 + 59 = 180

41x = 180 + 2 - 59

41x = 123

Divide

x = 123 / 41.

x = 3.

The value of x is 3.

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The way to solve the polynomial using the methods is given below.

Polynomial by factoring:

An example is (t² + 5t + 4) / +t + 4)

= (t + 1)(t + 4)/(t + 4)

= t + 1.

Dividing polynomial by long division:

Divide the first term of the dividend by the first term of the divisor.

Put this as the first term in the quotient.

Subtract to create a new polynomial.

Continue until you can't divide anymore.

Dividing polynomial by synthesic division:

Step 1: Set up the synthetic division.

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c by the value just written on the bottom row.

Step 4: Add the column created in step 3.

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

im taking s nap

Step-by-step explanation:

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer: 16.3 cm

Step-by-step explanation:

2.5 meters = 98.4252 inches.

(Round to 98.4)

98.4 - 11.5 = 86.9

(keep subtracting till you can't subtract 11.5 anymore w/o getting a negative number)

6.4 in = 16.3 cm (multiply the length value by 2.54)

16.3 cm left over.

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

The probability that a gorilla in this particular zoo will live between 14.3 and 19.4 years is 86% (or 0.86)

From the Empirical Rule, for a Normal Distribution, approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

To estimate the probability of a gorilla living between 14.3 and 19.4 years, we first need to standardize these values by subtracting the mean and dividing by the standard deviation:

For 14.3 years: (14.3 - 16) / 1.7 = -1.18

For 19.4 years: (19.4 - 16) / 1.7 = 2

Now we can use a standard normal distribution table to find the probabilities associated with these z-scores:

The probability of a gorilla living less than 14.3 years is approximately the same as the probability of a standard normal variable being less than -1.18, which is about 0.12.

The probability of a gorilla living less than 19.4 years is approximately the same as the probability of a standard normal variable being less than 2, which is about 0.98.

Therefore, the probability of a gorilla living between 14.3 and 19.4 years is approximately the difference between these two probabilities: 0.98 - 0.12 = 0.86.

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Answer:

-1

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

Solution to the system by using elementary row operations of equations is \(x1 = 3\) and \(x2 = 1\).

This can be understand by:

Step 1: Subtract 3 times the first equation from the second equation:

\(4x1 + 5x2 = 30\\-3(3x1 + 6x2) = 18\\ -x1 + -x2 = -12\)

Step 2: Add the equations to eliminate x2:

\(3x1 + 6x2 = 18\\-x1 + -x2 = -12\\2x1 = 6\)

Step 3: Divide both sides by 2 to solve for x1:

\(2x1 = 6\\x1=6/2\\x1 = 3\)

Step 4: Substitute x1 = 3 into either equation to solve for x2:

\(3(3) + 6x2 = 18\\6x2 = 6\\x2 = 1\)

Therefore, the solution to the system of equations is x1 = 3 and x2 = 1.

To reduce a matrix into row-echelon form, a series of procedures known as elementary row operations is used. These operations include multiplying one row by a nonzero value and adding it to another row, adding two rows together, switching two rows, and adding two rows together. They can be used to determine a matrix's inverse and to resolve linear equations.

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When constructing a confidence interval for a population mean μ from a sample of size n, the number of degrees of freedom (df) for the critical value tα/2 is (n-1).

Therefore, in this case, with a sample size of 1515, the number of degrees of freedom for the critical value tα/2 is:

df = 1515 - 1 = 1514

So, the answer is 1514.

Confidence intervals are a common statistical tool used to estimate population parameters based on a sample from that population. They are used to quantify the level of uncertainty associated with an estimate and provide a range of values within which the true population parameter is expected to fall with a certain level of confidence. The confidence level is typically set to 95% or 99%, and the interval is calculated using the standard error of the sample mean and a critical value from the t-distribution with degrees of freedom equal to the sample size minus one. Confidence intervals are widely used in many fields, including business, science, and social sciences.

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Answer:

The probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.

Step-by-step explanation:

The age groups and preferences are given as follows:

                                     18 - 24     25 - 34       35 - 55     55 and over      Total

Liked Crunchicles           39             66              10                  86                201

Disliked Crunchicles       27              19             38                  95                179

No Preference                 24             37             35                  24                120

Total                                 90           122             83                205               500

One consumer from the survey is selected at random.

Compute the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles as follows:

\(P(18-24|DC)=\frac{P(18-24\cap DC)}{P(DC)}\)

                        \(=\frac{n(18-24\cap DC)}{n(DC)}\\\\=\frac{27}{179}\\\\=0.15084\\\\\approx 0.151\)

Thus, the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.

400cm = 0.004km.

Perhaps there is something else your question meant, but it is way to unspecific.

Answer:

ur gay landen

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

Commission rate = commission / value sold

= 286/2200

= 13%

The answer is 13% and here is how you get it-

First of all the commission rate= commission/value sold.

So you need to divide 286 by 2200. Your answer to that would be 0.13 and just convert that into a percentage. That would give you 13%.

Answer:

The 2 is 200

The 3 is 3000

The 1 is 1

And if needed

The 6 is 60

Step-by-step explanation:

2 is in hundredths place

3 is in thousand place

6 is in tens place

1 is in ones place

hope this helps

Answer:

Step-by-step explanation:

Hello!

4.63 x 10^-3 = 0,00463

Answer:

\( \sqrt{55}\)

Step-by-step explanation:

Given is a right angled triangle.

Therefore, by Pythagoras theorem:

\( {x}^{2} = {8}^{2} - {3}^{2} \\ = 64 - 9 \\ = 55 \\ x = \sqrt{55} \)

The correct statements regarding the dilation to the triangle are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The resulting image is a larger or smaller version of the original object, depending on whether the scale factor is greater than or less than 1, respectively.

The ratio of the perimeter is equals to the scale factor, while the ratio of the areas is equals to the square of the scale factor.

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1. The equation to find the number of kids k at Zeke's family reunion is c) k + 30 = 75.

2. The solution to the equation shows that kids (k) at Zeke's family reunion are 45.

An equation states that two or more mathematical expressions are equal using the equation symbol (=).

Equations involve the combination of some variables, numbers, values, and constants using mathematical operands (+, -, x, or ÷).

The total number of watermelon slices distributed by Zeke at the family reunion = 75 slices.

The number of slices of watermelon given to adults at the family reunion = 30 slices.

The number of slices of watermelon given to kids at the family reunion = 45 (75 - 30) slices.

k + 30 = 75

k = 75 - 30

k = 45

Equations A, B, and D cannot be used to find how many kids k at the reunion.

Thus, equation C shows the number of kids at the family reunion as 45.

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1. Which equation can you use to find how many kids k are at the reunion?

a) k - 30 = 75

b) k - 25 = 75

c) k + 30 = 75

d) 30k = 75

2. Solve this equation for k to find how many kids are at the reunion.

Answer:

D) R’(2,3); S’(7,3); T’(5,8); U’(0,8)

Step-by-step explanation:

The last one.  If you reflect it over the x-axis, it moves from quadrant IV to quadrant I.  Everything in quadrant I is positive, and the last one is the only one that has all x and y values positive.