Mr. Miller created a graph of the number of emergency phone calls made to 9-1-1 during one week in January. Which statement describes Mr. Miller's data?

Hence, the optimal solution occurs at point (2, 2) with a value of the objective function Z = 14.

To solve the given Linear Programming Problem (LPP), we will start by graphing the constraints to identify the feasible region.

For the constraint 1A + 3B ≥ 6, we can plot the line 1A + 3B = 6. The feasible region will be the area above this line.

For the constraint A + B ≥ 4, we can plot the line A + B = 4. The feasible region will be the area above this line.

Since A, B ≥ 0, the feasible region will be the intersection of the areas above both lines.

Next, we will evaluate the objective function Z = 3A + 4B at each corner point of the feasible region to find the optimal solution.

Using the graphical solution procedure, we find that the corner points of the feasible region are (0, 6/3), (2, 2), and (4, 0).

Substituting these values into the objective function Z = 3A + 4B, we get the following:
At (0, 6/3):

Z = 3(0) + 4(6/3) = 4(2) = 8
At (2, 2): Z = 3(2) + 4(2) = 6 + 8 = 14
At (4, 0): Z = 3(4) + 4(0) = 12 + 0 = 12

Hence, the optimal solution occurs at point (2, 2) with a value of the objective function Z = 14.

Alternatively, you can also solve this problem using the solver tool in Excel. By setting up the objective function, constraints, and variable limits in Excel, the solver tool can find the optimal solution for you. The value of the objective function in this case will be Z = 14.

To know more about objective visit:

https://brainly.com/question/33272856

#SPJ11

Jerry has 13 brown chickens and 12 white chickens.

To solve this problem, let's assume the number of brown chickens is x. According to the question, Jerry has 25 chickens in total.

1.
- Twice the number of brown chickens is 2x.
- Two less than twice the number of brown chickens is 2x - 2.
- Twice the number of white chickens is 2(25 - x).
- From the given information, we can write the equation:

2x - 2 = 2(25 - x).

2. Simplify the equation:
- Distribute the 2:

2x - 2 = 50 - 2x.
- Combine like terms:

2x + 2x = 50 + 2.
- Simplify:

4x = 52.

3. Solve for x:
- Divide both sides by 4:

x = 13.
- Jerry has 13 brown chickens.
- The number of white chickens can be found by subtracting the number of brown chickens from the total: 25 - 13 = 12.

In conclusion, Jerry has 13 brown chickens and 12 white chickens.

To more about equation visit:

https://brainly.com/question/29538993

#SPJ11

To find arbitrarily large powers of s without doing matrix multiplication, we can use the binary representation of the power and exponentiation by squaring.

Exponentiation by squaring is a method for computing large powers of a number efficiently. To compute s^n, we first convert n to its binary representation. For example, if we want to compute s^13, we first convert 13 to its binary representation of 1101, which is equivalent to 8 + 4 + 1.

We then compute s^8, s^4, and s^1, and multiply them all together. To compute s^8, we use the fact that s^8 = (s^4)^2. To compute s^4, we use the fact that s^4 = (s^2)^2. To compute s^2, we use the fact that s^2 = s*s.

We continue in this way until we have computed the powers of all the individual binary digits, and then multiply them all together to get s^13. This method is much more efficient than computing the powers directly by multiplying s by itself 13 times.

For more questions like Matrix click the link below:

https://brainly.com/question/28180105

#SPJ4

Answer: To write the equation of a line parallel to AB through a given point, we need to follow these steps:

Find the slope of the line AB. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1)/(x2 - x1)

Let the coordinates of points A and B be (x1, y1) and (x2, y2) respectively. Then, the slope of the line AB is:

m = (y2 - y1)/(x2 - x1)

Since we want to find the equation of a line parallel to AB, the slope of this line will also be equal to m.

Let the given point be (x0, y0). Using the point-slope form of the equation of a line, we can write the equation of the line passing through (x0, y0) with slope m as:

y - y0 = m(x - x0)

Substituting the value of m found in step 1, we get:

y - y0 = (y2 - y1)/(x2 - x1) * (x - x0)

This is the equation of the line parallel to AB passing through the point (x0, y0).

Note that we assume that the line passing through A and B exists and is not vertical. If the line is vertical, then its slope is undefined, and we cannot find the equation of a parallel line using this method. In that case, we need to use a different method to find the equation of the line.

Step-by-step explanation:

Answer:

He can read 80 in four hours.

The "working from whole to part" principle involves surveying a particular area first, creating a scaled map and identifying key features, then breaking down the land into smaller sections. Sketches are essential for this principle.

The “working from whole to part” principle is one of the major principles of Land Surveying. It involves surveying a particular area first before moving on to the specifics. This involves creating a scaled map of the whole land and identifying the key features that must be surveyed. This can be achieved through a series of sketching, which involves drawing to-scale images of the whole area. Once the whole part has been established, the surveyor then moves on to the specifics, where the land is broken down into smaller sections that are easier to manage.

Sketches are an essential part of this principle, and they help the surveyor to identify the key features of the land that are to be surveyed.

To know more about survey of land Visit:

https://brainly.com/question/31082518

#SPJ11

Answer:

I have solved this on Paper and attached an image in the explanation part!

Step-by-step explanation:

The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.

The calculation of the provided data, according to the question, is as follows:

$8000 is the credit limit on the card.

Paid in Full = $2,500

$1,500 has been credited to the account.

The value of recent purchases made by Pavi is $3,000

Applied finance charges equal $7.50

The card's current balance is equal to $4,007.50.

Using the formula below, we can now determine the amount of credit that is now available on the card:

The credit line on the card = Available Credit - New Balance

By entering values into the formula provided, we obtain

Credit available on the current card: $8,000 - $4,007.50= $3,992.50.

Read more about Credit from:

https://brainly.com/question/29024957

#SPJ4

Using multiplication rules, it is found that the product of the multiplication if an even digit.

The rule is that a multiplication involving an even number will always result in an even number.

In this problem,two even numbers are multiplied, as they both finish with even digits, hence the result is also an even number, as evidenced by the fact that it finishes with an even digit.

You can learn more about multiplication rules of odd and even numbers at https://brainly.com/question/24657250

The pan with a radius of 6 in. is the closest area to the rectangular pan.

We have,

Let's assume that the length of the rectangular pan is L and the width is W. The area of the rectangular pan.

A = LW.

Now,

To find the closest area pan, we need to find the area of each circular pan, and then compare it to the area of the rectangular pan.

The area of a circle with a radius r.

A = πr².

Using the given radii, we can find the areas of the pans:

A pan with a radius of 4 in. has an area of A = π(4)² = 16π.

A pan with a radius of 6 in. has an area of A = π(6)² = 36π.

A pan with a radius of 10 in. has an area of A = π(10)² = 100π.

A pan with a radius of 8 in. has an area of A = π(8)² = 64π.

Now we need to compare the areas of the pans to the area of the rectangular pan.

We don't know the dimensions of the rectangular pan, but we can assume that it has dimensions that are close to the square root of its area.

Let's say that the area of the rectangular pan is 50 square inches.

Then, its dimensions are approximately 7.07 in. by 7.07 in.

We can use this as a reference to compare the areas of the circular pans:

The pan with a radius of 4 in. has an area of 16π, which is too small.

The pan with a radius of 6 in. has an area of 36π, which is too big.

The pan with a radius of 8 in. has an area of 64π, which is too big.

The pan with a radius of 10 in. has an area of 100π, which is much too big.

Therefore,

The pan with a radius of 6 in. is the closest area to the rectangular pan.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ1

Answer:

$5,000

Step-by-step explanation:

First, you have to determine the total amount of money she needs to save to cover the cost of the tuition by subtracting the financial aid, the scholarship and the amount her parents plan to contribute from the total cost of the tuition:

40,000-(40,000/4)-(40,000*25%)-5,000

40,000-10,000-10,000-5,000

40,000-25,000= 15,000

She needs to save a total amount of 15,000. Then, you need to divide this amount by 3:

15,000/3= $5,000

Julieta will need to save $5,000 each year over the next 3 years before her first year.

Answer:

D.8

Step-by-step explanation:

A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.

a/a+b is the same as a/(a+b). This is because the division of two numbers is represented by the symbol '/', and when a and b are being divided, it is written as a/b.

In this case, a and b are being divided by a+b, so it is written as a/(a+b). This is known as a fraction, which represents a ratio of two numbers. This fraction represents the proportion of a to the total of a+b. The numerator (a) represents the part of the total that you are interested in, and the denominator (a+b) represents the entire quantity.

Learn more about Fractions here:

https://brainly.com/question/78672

#SPJ4

The number of sets that Mrs Bowlin created would be = 63 sets.

Sets of an object is defined as the arrangement of an object into various distinct groups in such a way that each group contains the same amount of the object.

The total number of markers organized by Mrs Bowlin = 567.

The number of markers per set = 6

The total number of sets created with respect to the number of markers available = 567/6 = 63 sets.

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

Complete question:

Mrs. Bowlin organized the markers into sets. If there were 9 markers

in each set, how many sets of markers did Mrs. Bowlin create? there are 567 markers

a. The point estimate of the difference between the population mean expenditure for males and females is $79.06.

b. At a 99% confidence level, the margin of error is approximately $240.61.

c. The 99% confidence interval for the difference between the two population means is approximately (-$161.55, $319.67).

a. The point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females can be calculated as the difference between the sample means:

Point estimate = Sample mean for males - Sample mean for females

             = $139.54 - $60.48

             = $79.06

b. To calculate the margin of error at a 99% confidence level, we need to use the formula:

Margin of Error = Z * (sqrt((s1^2/n1) + (s2^2/n2)))

Where:

Z is the critical value corresponding to the desired confidence level. For a 99% confidence level, Z = 2.576.

s1 and s2 are the standard deviations of the male and female samples, respectively.

n1 and n2 are the sample sizes of the male and female samples, respectively.

Given:

Standard deviation for males (s1) = $33

Standard deviation for females (s2) = $314

Sample size for males (n1) = 58

Sample size for females (n2) = 39

Z = 2.576

Plugging in the values into the formula, we have:

Margin of Error = 2.576 * (sqrt((33^2/58) + (314^2/39)))

               ≈ 2.576 * (sqrt(607.48 + 8106.87))

               ≈ 2.576 * (sqrt(8714.35))

               ≈ 2.576 * 93.37

               ≈ 240.61

Therefore, the margin of error at a 99% confidence level is approximately $240.61.

c. To develop a 99% confidence interval for the difference between the two population means, we can use the formula:

Confidence Interval = (Point estimate - Margin of Error, Point estimate + Margin of Error)

Substituting the values we calculated earlier:

Point estimate = $79.06

Margin of Error = $240.61

Confidence Interval = ($79.06 - $240.61, $79.06 + $240.61)

                  = (-$161.55, $319.67)

Therefore, the 99% confidence interval for the difference between the two population means is approximately (-$161.55, $319.67).

Learn more about confidence interval from:

https://brainly.com/question/20309162

#SPJ11

Answer:

\(=\frac{8}{3}\)

Step-by-step explanation:

If w = -2, x = 3, y = 2 and z = -1/2 then find the value

\(\frac{y^{2}-w^{2} }{xz}\)

Given:

Formulas:

To find:

\(\frac{y^{2}-w^{2} }{xz}\\\)

\(\frac{0^{2}-(-2)^{2} }{3*\frac{-1}{2} }\)

\(\frac{0-4}{\frac{-3}{2} }\)

\(-4*-\frac{2}{3}\)

\(=\frac{8}{3}\)

In 420 rοlls οf such a 6-sided number cube, the likelihοοd οf rοlling anything οther than a 4 οr 5 is therefοre incredibly lοw.

The area οf mathematics knοwn as prοbability explοres pοtential οutcοmes οf events as well as their relative prοbabilities and distributiοns.

By using a 6-sided number cube, the likelihοοd οf nοt rοlling a 4 οr a 5 is 2/3. (Since there are 4 οutcοmes that are nοt 4 οr 5 οut οf a tοtal οf 6 pοssible οutcοmes).

We may apply the calculatiοn fοr the prοbability fοr independent events tο get the likelihοοd that just nοt rοlling a 4 οr 5 in 420 rοlls:

P(A and B) = P(A) × P(B)

Where A and B are separate οccurrences. In this instance, οur gοal is tο determine the likelihοοd that nοne οf the 420 rοlls will result in a 4 οr a 5, which may be expressed as:

P(nοt rοlling 4 οr 5 in 420 rοlls) = P(nοt rοlling 4 οr 5)⁴²⁰

Where "^" represents the expοnentiatiοn οperatοr.

Changing the likelihοοd οf nοt rοlling a 4 οr a 5:

P(nοt rοlling 4 οr 5 in 420 rοlls) = (2/3)⁴²⁰

Calculating the answer, we οbtain:

P(nοt rοlling 4 οr 5 in 420 rοlls) = 3.66 × 10⁽⁻¹⁸⁾

To know more about Probability visit:

https://brainly.com/question/30034780

#SPJ1

Answer:

Step-by-step explanation:

(-3.1 - 4.92)/2 = -8.02/2 = -4.01

(-2.8 - 3.3)/2 = -6.1/2= -3.05

(-4.01. -3.05) the midpoint

Answer:

t

Step-by-step explanation:

Answer:t

Step-by-step explanation:the other person was right

Given:

Aim:

Explanation:

Multiply and divide by 10 to get the scientific notation.​

Final answer:

the value of y is -1

Answer:

b+\(c{2}\) = 19 + \(5^{2}\)

b-3c = 19 - 15

Answer

The score on her next test that would keep her mean and median the same would be 95. Because her mean and median are already 95, another score of this value would not alter the mean or the median.

Explanation

To answer this, we need to first obtain the current mean and median

96, 95, 98, 92, 94, 93, 97

The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.

Mean = (Σx)/N

x = each variable

Σx = Sum of the variables

N = number of variables

Σx = 96 + 95 + 98 + 92 + 94 + 93 + 97 = 665

N = 7

Mean = (Σx)/N

Mean = (665/7) = 95

Median

The median is the variable that falls in the middle of the distribution when all the variables are arranged either in ascending or descending order.

So, to obtain the median for this, we have to arrange all the scores in data.

96, 95, 98, 92, 94, 93, 97

92, 93, 94, 95, 96, 97, 98

We can easily see that the number in the middle is the fourth number and that number is 95

So, currently the mean and the median are already the same score, 95, so, the score that she needs to get in her next test to keep the mean and median equal is still 95.

Hope this Helps!!!

Answer:

the simplest form of 15/20 is 3/4

Answer:

-5 1/20, -5.042, 5 3/7, 5.48

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

6x-12y=18

6x=18+12y

Divide through by 6

X=3+2y

X=2y+3

Answer:

C

Step-by-step explanation:

6x-12y=18 x=2y+3 this is correct

Answer: 1 13/30 hrs left

Step-by-step explanation:

his class lasts 2 5/6 hrs...and he has already been in there for 1 2/5 hr

so the time he has left can be found by subtracting the time he has been there from the total time of the class

2 5/6 - 1 2/5....

(2 - 1) = 1 : (5/6 - 2/5 = 25/30 - 12/30 = 13/30)

so he has 1 13/30 hrs left

Answer:

13/30 hours

Step-by-step explanation:

11/6 - 7/5 = 55/30 - 42/30 = 13/30

You just need to simply distribute the 4:

4(2y + p)

8y + 4p

Hope this helps! :)

Answer:

i dont know if this is right but i tried

4*2y+p= 8y+p

Answer:

1.25 or 1 1/4

Step-by-step explanation: