The table shows the number of cases of foodborne botulism in the United States for the years 2001 to 2005. Let x represent the
number of years since 2000. Find a linear model for the data. List the correlation coefficient.
U.S. Foodborne Botulism Cases
Year
Cases 39 28 20 16
2001 2002 2003 2004 2005
18
Source: Centers for Disease Control
Linear model:
Correlation coefficient: r =
Predict the number of foodborne botulism cases in the United States in 2007.

The prices of the four movies that Sally has already seen will not change after she sees the next movie.

The ticket prices of the four movies that Sally has already seen are fixed and do not depend on whether she sees another movie or not. Therefore, these prices will remain the same even after she sees the next movie. The price of the next movie that Sally plans to see is $34, which is independent of the ticket prices of the previous movies.

Thus, the cost of the previous movies that Sally has seen will not change after she sees the next movie. In other words, the previous expenses are sunk costs and are irrelevant to future decisions.

For more questions like Costs click the link below:

https://brainly.com/question/31041508

#SPJ11

Answer:

w

Step-by-step explanation:

The amount of water they need to bring depends on how long they will be hiking.

Answer:

176.53

Step-by-step explanation:

All i didnwas just solve the math on paper and u could use a caculator

Answer:

33/-550

Step-by-step explanation:
Add

Hope it help

The rule of the quadratic function is f(x) = 4x² - 8x + 7, where the vertex is (2,3) and the point (5,39) lies on the graph.

To determine the rule of the quadratic function, we need to consider the general form of a quadratic function, which is f(x) = ax² + bx + c, where a, b, and c are constants.

Given that the vertex of the quadratic function is (2,3), we know that the x-coordinate of the vertex is 2. This corresponds to the formula x = -b/2a. By substituting the x-coordinate (2) into the formula, we can solve for b.

2 = -b/(2a)

Cross-multiplying gives -4a = b.

Now, we have the value of b. Next, we substitute the vertex coordinates (2,3) into the quadratic function to solve for a and c.

f(2) = 4(2)² - 8(2) + c

3 = 16 - 16 + c

3 = c

Hence, we have found the values of b and c. Plugging them into the quadratic function, we get f(x) = 4x² - 8x + 7, which is the rule of the quadratic function that satisfies the given conditions.

Learn more about quadratic function here:

https://brainly.com/question/18958913

#SPJ11

The measure of angle P on the circle with the tangent in this problem is given by the following option:

(4) 50°.

In this problem, what we have is the intersection of a tangent and a chord, hence the measure of the angle formed by the chord and the tangent is half the measure of the intercepted arc.

From the diagram given by the image shown at the end of the answer, we have that the length of the intercepted arc is given as follows:

m < RA = 100º.

Then the measure of angle P is of half the length of the intercepted arc, which is given as follows:

m < P = 0.5 x m < RA = 0.5 x 100º = 50º.

Which means that option 4 is the correct option for the measure of angle P.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:

they are 4 i think

Step-by-step explanation:

5 x 4 = 20

Answer:

100

Step-by-step explanation:

20 divided by 1/5 = 20 x 5/1 = 100

Answer:

13/30

Step-by-step explanation:

Begin by getting 2/5 on the right side.

2/5-2/5 + m = 5/6 - 2/5

The lowest common denominator is 6 * 5 which are prime to each other.

m = 5/6 - 2/5                          Multiply the tops and bottoms to make the bottoms 30

m = 5*5/(6*5) - (2*6)/(5*6)

m = (25 - 12)/30

m = 13/30

y = mx + b

m = slope or rate of change

b = y-intercept

x = input

y = output

Answer:

x= input

y= output

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-2x+19=3x-1

+2x        +2x

19=5x-1

+1       +1

20=5x

/5   /5

4=x

x=4

Answer:

You save $55

Step-by-step explanation:

To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.

Answer:

61.504

Step-by-step explanation:

Answer:

There are £61.50 in 992

Step-by-step explanation:

Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places

hope this helps!!

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ1

Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

Answer:

4

Step-by-step explanation:

use pemdas.

4+4-4x4/4

4+4-16/4

4+4-4

8-4

4

Answer:

Yes, the rate of cost of rice and total cost of rice are in direct proportion

Step-by-step explanation:

If we increase the rate of cost of rice the total cost of rice also increases. Hence, we can say that the rate of cost of rice and total cost of rice are in direct proportion.

Please mark me as the brainliest !!!

Answer:

Step-by-step explanation:

\(a = -24\\d = t2 -t1\\d = -7-(-24)\\d = -7+24\\d = 17\\\\T_{n} = a +(n-1)d\\T_{52} = -24+(52-1)17\\T_{52} = -24+(51)17\\T_{52} = -24+867\\T_{52} = 843\)

I hope i am correct

Answer:

843

Step-by-step explanation:

Here,

First term a = - 24

Common difference (d) = - 7 - (-24) = - 7 + 24 = 17

Nth term of an Arithmetic sequence is given as:

\(a_n = a + (n-1)d \\ a_{52} = - 24 + (52-1) \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 867\\ a_{52} = - 24 + 867 \\ \\ \huge \red { \boxed{ a_{52} = 843}}\)

The minimum number of hard disks that can be used for implementing a RAID 10 solution is four (option c).  

The minimum number of hard disks that can be used for implementing a RAID 10 solution on the video editor's desktop workstation is four (option c). RAID 10, also known as RAID 1+0, combines elements of RAID 1 (mirroring) and RAID 0 (striping) to provide both data redundancy and improved performance.

In RAID 10, data is mirrored across multiple drives to ensure redundancy. To implement RAID 10, we need at least two sets of mirrored drives, where each set contains a minimum of two hard disks.

The data is striped across these mirrored sets to enhance performance.

With four hard disks, you can create two mirrored sets, each consisting of two drives.

The data is then striped across these mirrored sets, providing both redundancy and improved read/write speeds.

If one drive fails in each mirrored set, the system can still function without data loss due to the mirroring.

This setup provides a balance between data protection and performance.

While more hard disks can be used in RAID 10 for larger capacities and better performance, the minimum requirement is four hard disks.

Using fewer drives would not allow for the necessary mirrored sets and striping required for RAID 10.

By implementing a RAID 10 solution with four hard disks on the video editor's workstation, you can help safeguard against data loss in case of drive failure, ensuring the integrity and availability of important video editing data.  

For similar question on hard disks.

https://brainly.com/question/26382243  

#SPJ11

Answer:

Ohh Pythagorean theorem question! Well, A squared plus B squared = C squared, so 44.82187.

Answer:

D. F(x) = (x - 1)^4

Step-by-step explanation:

To shift a graph h units horizontally, replace x by x - h.

The shift is 1 unit to the right, so the shift is positive 1.

h = 1

x - h = x - 1

Replace x with x - 1.

G(x) = x^2 becomes F(x) = (x - 1)^4

Answer:

  AB, DC, ED, GA

Step-by-step explanation:

You want to identify the segments that are skew to edge FH of cuboid ABCDEFGH.

Two lines are skew when no plane exists that can contain them both. That is, skew lines are not parallel and do not intersect.

Cuboid ABCDEFGH has 12 edges. Of those, 3 are parallel to FH, and 4 intersect FH. The remaining edges are skew to FH:

  AB, DC, ED, GA . . . . . segments skew to FH

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

To know more about Net present value   visit

https://brainly.com/question/32720837

#SPJ11

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables.

Hence, the correlation coefficient is \(-0.9\), i.e., \(x\) and \(y\) have a strong, negative correlation

What is a correlation coefficient?

A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables.

The variables may be two columns of a given data set of observations, often called a sample or two components of a multivariate random variable with a known distribution.

As we know that the correlation coefficient is a measure of the strength of the straight line or linear relationship between two variables. Correlation coefficients are expressed as values between \(+1\) and \(-1\).

So,

\((1,8),(2,3),(3,0),(4,1),(5,2),(6,1)\)

As per the Excel tools i.e., CORREL function the correlation coefficient is \(-0.9\).

Hence, the correlation coefficient is \(-0.9\), i.e., \(x\) and \(y\) has a strong, negative correlation.

To know more about the correlation coefficient

https://brainly.com/question/12881300

#SPJ1

The product of the three smallest, positive, non-integer solutions to the expression [x][x] is \(\(\frac{5}{2}\) times \(\frac{7}{2}\) times \(\frac{9}{2} = \frac{315}{8}\)\).

To find the solutions, we first look at the floor and ceiling functions. The floor function ( x ) rounds a number down to the nearest integer, while the ceiling function (x ) rounds a number up to the nearest integer. The three smallest positive, non-integer solutions occur when (x) is between two consecutive integers.

Let's consider the values of [x] between 2 and 3. In this range, [x]is 2, and [x] is 3. Therefore, the first solution is [x]=5/2. Similarly, between 3 and 4, we have [x]=3 and [x]=4, giving the second solution as [x]=7/2. Finally, between 4 and 5, we have [x]=4  and [x]=4, leading to the third solution [x]=9/2.

To find the product of these solutions, we multiply them together: 5/2×7/2×9/2 = 315/8. Thus, the product of the three smallest, positive, non-integer solutions to [x][x]is 315/8

Learn more about multiply here: https://brainly.com/question/620034

#SPJ11

Answer:

if of all  parallel lines can't touch

Step-by-step explanation:

Answer:

Step-by-step explanation:

When each of the dimensions is multiplied by 1/3, the result is a rectangle that is ...

   (12 mm)·(1/3) by (15 mm)·(1/3) = 4 mm by 5 mm

The result is ...

  a smaller rectangle with length 4 millimeters and width 5 millimeters

__

The perimeter of the smaller rectangle has the same ratio to the original that the side lengths do.

The new perimeter will be 1/3 times the perimeter of the original rectangle.

The change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

For a known length and width of a rectangle, the expression for calculating the perimeter of a rectangle is 2(L × w).

From the given information:

A rectangle's length = 12 mm, and width = 15 mm

Therefore, we can deduce that the change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

This is because by using the scale factor:

\(\mathbf{\dfrac{1}{3}(12) \times \dfrac{1}{3}(15)}\)

We can get the value for the length and width of the new smaller rectangle as 4 mm and 5 mm respectively.

Learn more about the perimeter of a rectangle here:

https://brainly.com/question/19819849

#SPJ2

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

Answer:

- 5

Step-by-step explanation:

Substitute x = - 2 into f(x)

f(- 2) = 2(- 2) - 1 = - 4 - 1 = - 5