Cranor and Christensen study diabetics insured by two employers. Group 1 subjects were employed by the City of Asheville, North Carolina, and group 2 subjects were employed by Mission-St. Joseph’s Health System. The data are displayed in the following table.

Weight (Pounds) Group 1 Group 2 252 215 240 185 195 240 190 302 310 210 205 270 312 212 190 200 159 126 238 172 170 204 268 184 190 170 215 215 136 140 320 254 183 200 280 148 164 287 270 264 214 288 210 200 270 270 138 225 212 210 265 240 258 182 192 203 217 221 225 126 Source: Data provided courtesy of Carole W. Carnor, Ph.D. 220 295 202 268 220 311 164 206 170 190

ANSWER SHOULD BE BASE ON THE FF:
State the null and alternative hypothesis
Level of significance
Test statistics
Decision Rule
Stata Output
Statistical Decision
Conclusion
Linear Regression Model and Interpretation (if necessary)

The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

Answer:

40 is the answer I also got 40

Answer:

Step-by-step explanation:

c = 10h

h is the independent variable.

c is the dependent variable.

Answer:

3/2

Step-by-step explanation:

move all the variables to the left 0=2x-3

divide both sides -2x=-3

then your answer is 3/2

Step-by-step explanation:

six times the sum of a number and 2 is -36

Solution,

Let the number be x, then

6(x+2)=-36

6x+12=-36

6x=-36-12

6x=-48

x=-48/6

x=-8

Answer:

  not equivalent

Step-by-step explanation:

You want to know if (x² +1) is equivalent to (2/3x² +1/3x² +1 +x).

The second expression simplifies to ...

  (2/3 +1/3)x² +x +1 = x² +x +1

This 3-term expression has an extra term that is not found in the first expression. The two expressions are not equivalent.

__

Additional comment

You can combine like terms (expressions with the same variables to the same powers), but you cannot combine unlike terms. The added x term in the second expression is what makes it not equivalent to the first expression.

Equivalent expressions have the same graph. These do not.

<95141404393>

Answer:

yes just make sure to pay close attention

Answer: (x+7)(x+7), 7 plus 7 is 14 and 7 times 7 is 49

The answer is: ∫(-1)dz = -z + C

To evaluate the indefinite integral of -1 with respect to z, we need to find the antiderivative of -1. The antiderivative of -1 is -z. Since it's an indefinite integral, we should also include the constant of integration, C. Therefore, the answer is:

∫(-1)dz = -z + C

The process of finding the antiderivative of a function is known as integration. An indefinite integral is an integral that does not have any specific limits of integration. It is represented by the symbol "∫" and does not have any numerical value until a constant of integration is added.

In this case, we are asked to evaluate the indefinite integral of -1 with respect to z. To find the antiderivative of -1, we need to find a function whose derivative is -1. This is because the derivative and antiderivative are inverse operations.

The antiderivative of -1 is -z because the derivative of -z with respect to z is -1.

∫(-1)dz = -z + C

Where C is the constant of integration. It is important to include the constant of integration when finding the antiderivative because any constant value will have a derivative of 0. Therefore, adding the constant of integration ensures that all possible antiderivatives of a function are accounted for.

The result of the indefinite integral, -z + C, represents the set of all functions whose derivative is -1.

To check the answer, we can take the derivative of -z + C with respect to z:

d/dz(-z + C) = -1 + 0 = -1

This confirms that -z + C is indeed an antiderivative of -1.

To learn more about integration, refer below:

https://brainly.com/question/30900582

#SPJ11

The volume of the given cylinder is 400π cubic millimeter.

Given that, a cylinder has a radius of 5 mm and a height of 8 mm.

We know that, the volume of a cylinder is πr²h.

Here, volume = π×5²×8

= π×25×8

= 400π

Therefore, the volume of the given cylinder is 400π cubic millimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

Answer:

y = -3x - 2

Step-by-step explanation:

Since the line passes through the point (0, -2), -2 is the y-intercept

Using the slope-intercept form for a line we have

y = -3x - 2

Answer:

4/5

Step-by-step explanation:

1 1/3 = 4/3

4/3 x 3/5

times the denominator and numerator = 12/15

divide by HCF which is 3

4/5

The probability of getting two "1's" out of three draws without replacement from the box is 0.3, which matches the first option.

To find the probability of getting two "1's" out of three draws without replacement from a box containing 5 tickets, we can use the following steps:

Step 1: Determine the total number of possible ways to draw three tickets from the box without replacement. This can be calculated using the formula for combinations:

C(5, 3) = 5! / (3! * 2!) = 10

Step 2: Determine the number of ways to draw two "1's" and one other ticket. There are two "1's" in the box, so we can choose two of them in C(2, 2) = 1 way. The third ticket can be any of the remaining three tickets in the box, so we can choose it in C(3, 1) = 3 ways. Thus, there are 1 x 3 = 3 ways to draw two "1's" and one other ticket.

Step 3: Calculate the probability of getting two "1's" by dividing the number of ways to draw two "1's" and one other ticket by the total number of possible draws:

P(two "1's") = 3 / 10

Therefore, the probability of getting two "1's" out of three draws without replacement from the box is 0.3, which matches the first option.

Learn more about probability

brainly.com/question/30034780

#SPJ11

The estimated area of the circle is then: Estimated area = 0.7 x 4r²= 2.8r²

To estimate the area of a circle with the center at origin and radius r, there are various methods you can use.

One of them is Monte Carlo Integration.

Monte Carlo Integration is a numerical technique used to calculate an estimate of an area by performing a probability simulation. In this case, the simulation involves generating a random sample of points within the circle, and then counting the number of points that lie within it.

Here is a simple method for using Monte Carlo Integration to estimate the area of a circle with center at origin and radius r:

Step 1: Create a square of side length 2r centered at the origin, with vertices (r, r), (r, -r), (-r, r), and (-r, -r). This square completely encloses the circle.

Step 2: Generate a large number of random points within the square, using a uniform distribution. For example, you could use a computer program to generate 10,000 random points with x and y coordinates between -r and r.

Step 3: Count the number of points that lie within the circle. To do this, you can use the Pythagorean theorem to check if each point is inside or outside the circle. If a point has coordinates (x, y), then it lies within the circle if x^2 + y^2 ≤ r^2.

Step 4: Estimate the area of the circle by multiplying the proportion of points that lie within the circle by the area of the square. The proportion of points that lie within the circle is equal to the number of points within the circle divided by the total number of points generated.

The area of the square is 4r^2.

The estimated area of the circle is then:

Estimated area = Proportion of points in circle x Area of square

= Number of points in circle / Total number of points x 4r²

For example, if 7,000 of the 10,000 random points lie within the circle, then the proportion of points within the circle is 0.7.

The estimated area of the circle is then:

Estimated area = 0.7 x 4r²

= 2.8r²

This method is easy to use, and it becomes more accurate as the number of random points generated increases.

For best results, you should generate at least 10,000 points.

The estimated area may not be precise like the known formula, but the result would be quite close to the actual area of the circle.

To know more about area, visit:

https://brainly.com/question/1631786

#SPJ11

90

Step-by-step explanation:

It's a right-angle triangle

Hope this helps!

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 \(1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a\)

for the points to be aligned the fraction \(\frac{c-a}{b-a}\) should be a real number

\(\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3\)

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

Answer:

31.42 in

Step-by-step explanation:

C=πd=π·10≈31.41593in

\(\frac{3}{5}\) is the score of Jonathan.

Percentage, which may also be referred to as percent, is a fraction of a number out of 100%. Percentage means "per 100" and denotes a piece of a total amount.

To calculate the percentage , Use the percentage formula:

\(X * \frac{Percentage}{100} = Y\)

According to the question:

Sarah scored on the spelling test  = \(\frac{8}{10}\)

Jonathan scored  = 75%

By formulating both the values;

\(\frac{8}{10} * \frac{75}{100}\)

= \(\frac{3}{5}\)

Therefore , \(\frac{3}{5}\) is the score of Jonathan.

Learn more about percentage here:

https://brainly.com/question/13450942

#SPJ1

30.

\(g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6\)

31.

\(h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90\)

32.

\(f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}\)

33.

\(g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}\)

The critical value t0.10,5 is approximately 1.4759.

To find the critical value t0.10,5 (also written as t(0.10,5)), you'll need to consult a t-distribution table. This critical value represents the t-score that has a probability of 0.10 (10%) in the upper tail of the distribution and 5 degrees of freedom.

Using a t-distribution table or a calculator, the critical value t0.10,5 is approximately 1.4759.

Your answer: The critical value t0.10,5 is approximately 1.4759.

To learn more about critical value, refer below:

https://brainly.com/question/30168469

#SPJ11

Answer:

A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. Parallelepipeds result from linear transformations of a cube (for the non-degenerate cases: the bijective linear transformations).

Step-by-step explanation:

A parallelepiped focuses on three-dimensional figures formed by six parallelograms.

A parallelepiped shape has the following features

Think of a cube or a cuboid.

Notice that they contain squares and rectangles

A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid

Read more about parallelepiped at:

https://brainly.com/question/3050890

#SPJ11

Answer:

5/12 ,7/9 ,1/3 , 2/3, 1/4

2/7 ,2/4, 5/8, 11/4 ,3/2

Step-by-step explanation:

Answer:

0.259

Step-by-step explanation:

There are some rules in determining what numbers are significant figures.

We can determine how many significant figures the number currently has.

There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.

The rounding rules are:

Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.

The total increase in surface area is 189 cm², indicating that there has been a combined growth or expansion of surfaces by 189 square centimeters in the given context or scenario.

To find the increase in surface area of the box, we need to calculate the difference between the new surface area and the original surface area.

Let's calculate the original surface area:

Original surface area = 2(length × breadth + length × height + breadth × height)

= 2(15 cm × 6.3 cm + 15 cm × 33 cm + 6.3 cm × 33 cm)

= 2(94.5 cm² + 495 cm² + 207.9 cm²)

= 2(797.4 cm²)

= 1594.8 cm²

Now, let's calculate the new surface area when the height is increased by 0.6 cm:

New surface area = 2(15 cm × 6.3 cm + 15 cm × (33 cm + 0.6 cm) + 6.3 cm × (33 cm + 0.6 cm))

= 2(15 cm × 6.3 cm + 15 cm × 33.6 cm + 6.3 cm × 33.6 cm)

= 2(94.5 cm² + 501 cm² + 211.68 cm²)

= 2(807.18 cm²)

= 1614.36 cm²

Now, we can calculate the increase in surface area:

Increase in surface area = New surface area - Original surface area

= 1614.36 cm² - 1594.8 cm²

= 19.56 cm²

Second approach:

The increase in surface area can also be calculated by considering only the two faces affected by the change in height, which are the top and bottom faces of the box.

Each face has a length of 15 cm and a breadth of 6.3 cm. The increase in height is 0.6 cm.

The increase in surface area of one face = 15 cm × 6.3 cm

= 94.5 cm²

Since there are two faces (top and bottom), the total increase in surface area is:

Total increase in surface area = 2 × 94.5 cm²

= 189 cm²

For more such questions on surface area visit:

https://brainly.com/question/951562

#SPJ8

The period of the oscillation is 1/7 seconds

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

Frequency = 7 hertz

The period of the oscillation is calculated as

Period =1/Frequency

Substitute the known values in the above equation, so, we have the following representation

Period =1/7

Hence, the period is 1/7

Read more about period and frequency at

https://brainly.com/question/26044136

#SPJ1

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

Read more about multipliers:

brainly.com/question/15883095

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

The table of solutions for this quadratic equation (y = -2x²) include the following:

x                    y_

-2                  -8

-1                   -2

0                   -0

1                    -2

2                   -8

Also, a graph of the solution of this quadratic equation is shown in the image attached below.

In Mathematics, the valid and true solutions to the given quadratic equation (y = -2x²) are referred to as ordered pairs and they can be determined by substituting the x-values contained in the table into the quadratic equation as follows;

When x = -2, the y-value for this quadratic equation is given by:

y = -2x²

y = -2(-2)²

y = -2 × 4

y = -8

When x = -1, the y-value for this quadratic equation is given by:

y = -2x²

y = -2(-1)²

y = -2 × 1

y = -2

When x = 0, the y-value for this quadratic equation is given by:

y = -2x²

y = -2(0)²

y = -2 × 0

y = 0

When x = 1, the y-value for this quadratic equation is given by:

y = -2x²

y = -2(1)²

y = -2 × 1

y = -2

When x = 2, the y-value for this quadratic equation is given by:

y = -2x²

y = -2(2)²

y = -2 × 4

y = -8

In conclusion, you would notice that a graph of this quadratic equation is parabolic (u-shaped) in nature with a slope of -2.

Read more on graphs here: brainly.com/question/4546414

#SPJ1