A homeowner recorded the amount of electricity in kilowatt-hours (KWH) consumed in his house on each of 9 days. He also recorded the numbers of hours his air conditioner was turned on (AC). AC (hrs) 1.5 4.5 5.0 2.5 8.5 6.0 8.0 12.5 7.5 KWH 35 63 69 17 94 82 66 125 85 Use your calculator to answer the following question. Find the correlation between AC (hrs) and KWH. O-0.7567 0.8793 0.7941 0.9212

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

x=6

Step-by-step explanation:

The crocodile river is y = 4

The road will intersect at ( 6,4)

We have two points on the line

(6,7) and (6,4)

The slope is

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

   = (4-7)/ (6-6)

  = -3/0

The slope is undefined

That means the equation is in the form

x=

Since the x coordinate is 6

x=6

The solutions that involve whole numbers of cameras are (7, 13), (8, 12), (9, 11), (10, 10), (11, 9), (12, 8) and (13, 7)

The given parameters are:

Represent the daytime camera with x and the flash camera with y.

So, we have:

x + y = 20

65 <=2.75x + 4.25y <= 75

Make y the subject in x + y = 20

y = 20 - x

Substitute y = 20 - x in 65 <=2.75x + 4.25y <= 75

65 <=2.75x + 4.25(20 - x) <= 75

Expand

65 <=2.75x + 85 - 4.25x <= 75

This gives

65 <=-1.5x+ 85  <= 75

Subtract 85 from the inequality

-20 <=-1.5x <= -10

Split the inequality

-1.5x >= -20 and -1.5x <= -10

Divide by -1.5

x <= 13.33 and x >= 6.67

Combine the inequality

6.67 <= x <= 13.33

In (a), we have:

6.67 <= x <= 13.33

This means that:

x = 7, 8, 9, 10, 11, 12, 13

Recall that:

y = 20 - x

So, we have:

y = 13, 12, 11, 10, 9, 8, 7

So, the solutions that involve whole numbers of cameras are (7, 13), (8, 12), (9, 11), (10, 10), (11, 9), (12, 8) and (13, 7)

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The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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The percentage of students expected to pass the course is 66.8%

The given data represents;

In a recent survey in a statistics class, it was determined that only 60% of the students attend class on Fridays. from past data, it was noted that 98% of those who went to class on Fridays passed the course, while only 20% of those who did not go to class on Fridays passed the course.

We need to find the percentage of students who are expected to pass the course.

Let 'A' be the event of passing,

     'B' be the event of attending on Fridays.

P (A I B) = 0.98 * P (A I B') = 0.2

P (B) = 0.6

Then, P (B') = 1 - 0.6

                  = 0.4

→ P (A ∩ B) = P (A I B) * P (B)

                 = 0.98 * 0.6

                 = 0.588

→ P (A ∩ B') = P (A I B') * P (B)

                  = 0.2 * 0.4

                  = 0.08

∴ P(A) = P (A ∩ B) + P (A ∩ B')

          = 0.588 + 0.08

          = 0.668

Hence, the percentage of students expected to pass the course is 66.8%

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The indicated side of the triangle is 17√2 unit.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

The triangle is a right-angled triangle.

The length of the perpendicular = 17 unit.

Two angles of the triangle are 45° and 45°.

That means, base = 17 unit.

And the triangle is an isosceles triangle.

By the Pythagoras' theorem,

a = √(289 + 289)

a = √578

a = 17√2 unit.

Therefore, the value of a is 17√2 unit.

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Answer:

Hello!

David spends a total of $35.65 for both the Spanish and Mexican coffee

Step-by-step explanation:

5.25 × 3 = 15.75

9.95 × 2 = 19.90

15.75 + 19.90 = 35.65

Hope this helps!!

The four levels of measurement for which data can be qualitative are nominal, ordinal, interval, and ratio. Qualitative data are pieces of information that describe the quality or characteristics of an object or phenomenon.

The levels of measurement are based on the degree of variation and consistency in the measured data, and they influence the statistical methods that can be used to analyze the data.

1. Nominal level of measurement: Nominal data refers to categorical data that are labeled using a set of symbols or names that do not have any intrinsic order or hierarchy.

The symbols or names used to label the categories are merely identifiers that can be used to differentiate between different groups or objects.

For example, blood type, gender, and color can be nominal data.

2. Ordinal level of measurementOrdinal data are qualitative or categorical data that can be arranged in an ordered sequence based on a specific characteristic or attribute.

This implies that the data have a clear ranking system in which they can be arranged based on their level of severity, frequency, or magnitude, but the differences between the values cannot be measured.

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Answer:

djjfskysrkurdlsuruld4lud4lu5li5slir5

The median price from the given data is 648,303.

To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.

Let's arrange the data in ascending order:

181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954

There are a total of 13 data points, which is an odd number. So, the median price is the middle value.

The middle value is the 7th value:

Median Price = 648,303

Therefore, the median price from the given data is 648,303.

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The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.

Let's clarify the itinerary for the 15-day tour visiting 5 national parks.

You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.

When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.

However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.

To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.

To fill the remaining 5 days, you have a few options:

1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.

2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.

3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.

Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.

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Based on the size of the perimeter of the rectangle, the fact that x is greater than y, the ratio of y to x is B. 1 : 3.

y should be such that it is 8 times smaller than the perimeter as it is the shorter side.

You can find the value of y by testing the given options.

If the ratio is 1 : 2, then the perimeter would be:

= 1 + 1 + 2 + 2

= 6

6 is not 8 times more than the y which is 1 in this case.

If the ratio is 1 : 3 then the perimeter is:

= 1 + 1 + 3 + 3

= 8

8 is eight times greater than the value of y which is 1 in this case.

This means that indeed the ratio of y to x is:

1 : 3

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The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

It is defined as the combination of constants and variables with mathematical operators.

We have:

\(\rm = 3^{\dfrac{6}{5}}\)

We can write it as:

\(\rm = \sqrt[5]{3^6}\)

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

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Answer:

EC = 17

Step-by-step explanation:

Answer:

8 could be the answer of this but im not sure

Answer:

40%

Step-by-step explanation:

Answer:

BELOW

Step-by-step explanation:

1) C= PD so

a) 12.56

b) 18.84

c) 37.68

2) C=2PR so

a) 2*3.14*2= 12.56

b) 2*3.14*14= 87.92

c) 2*3.14*12= 75.36

3)  C=2PR so

a) 56.52

b) 69.08

c) 43.96

4)

a) 31.4

b) 56.52

c) 40.82

To find the area of a quadrilateral with given coordinates, you can use the Shoelace Formula.

The Shoelace Formula, also known as Gauss's area formula, provides a method to calculate the area of any polygon given its coordinates. Here's how it works for a quadrilateral:

Let's say you have the coordinates of the four vertices of the quadrilateral: (x1, y1), (x2, y2), (x3, y3), and (x4, y4).

1. Write down the coordinates in a clockwise order:

  (x1, y1), (x2, y2), (x3, y3), (x4, y4), (x1, y1).

2. Multiply each x-coordinate by the y-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply x1 by y2, and for the second vertex (x2, y2), multiply x2 by y3, and so on.

3. Multiply each y-coordinate by the x-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply y1 by x2, and for the second vertex (x2, y2), multiply y2 by x3, and so on.

4. Add up all the results from Steps 2 and 3.

5. Take the absolute value of the sum calculated in Step 4 and divide it by 2.

By following the steps of the Shoelace Formula, you can calculate the area of a quadrilateral given its coordinates. Remember to ensure that the coordinates are listed in a clockwise or counterclockwise order to obtain the correct result. This method can be applied to any quadrilateral shape and provides an efficient way to find its area without requiring complex calculations or trigonometric functions.

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The parents must set aside $57,210.9656 as initial investment , at 5% compounded semiannually to meet their financial goal when the child is 18.

Parents wish to have $120,000 available for a child's education.

The child is 3 years old now.

We need to find how much money must be set aside at 5% compounded semiannually to meet the final goal when the child is 18.

: The compound interest formula: A = p*(1+r/n)^nt; where

A = Accumulated amt after t time

P = Initial amt

r = rate of interest in decimal form

n = number of time compounded each year

t = 15 yrs;

We need to find the initial investment, P

P * (1 + .05/2)^(2*15) = 120000

P * (1.025^30) = 120000

P * 2.0975 = 120000

p = 120000/2.0975

P = $57,210.9656 is the investment required

Therefore, They must set aside  $57,210.9656 to meet their financial goal when the child is 18

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The steps for using a compass and straightedge to construct the bisector will be:

1. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G.

2.Label the points of intersection as points H and J.

3. Place the point of the compass on point H and draw an arc in the interior of the angle.

4. Without changing the opening of the compass, place the point of the compass on point J and draw another arc in the interior of the angle.

5.Label the intersection of the arcs in the interior of the angle as point K.

6. Use the straightedge to draw GK.

Bisection in geometry is the division of something into two equal or congruent portions, usually by a line, which is then known as a bisector. The segment bisector and the angle bisector are the most commonly used forms of bisectors.

To bisect anything implies to divide it into two equal sections. A bisector is a line that divides anything into two equal pieces. Bisectors include segment bisectors, angle bisectors, and shape bisectors. A segment bisector is a line that runs across the center of a particular segment.

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The expression "x - y + z" can be simplified and rearranged using the associative property and commutative property of addition. Let's break it down step by step:

1. x - y + z

According to the associative property of addition, the grouping of terms does not affect the result when only addition and subtraction are involved. Therefore, we can choose to group "y" and "z" together:

2. x + (-y + z)

Next, using the commutative property of addition, we can rearrange the terms "-y + z" as "z + (-y)":

3. x + (z + (-y))

Now, we have the expression "x + (z + (-y))". According to the associative property of addition, we can group "x" and "z + (-y)" together:

4. (x + z) + (-y)

Finally, we can rewrite the expression as "(x + z) - y", which is equivalent to "(x - y) + z":

5. (x + z) + (-y) = (x - y) + z

Therefore, "x - y + z" is indeed the same as both "x - (y + z)" and "(x - y) + z" due to the associative and commutative properties of addition.

The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year ,  a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.

The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.

The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.

and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .

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The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The nonlinear programming formulation of the problem is as follows:

maximize

revenue = PA * NA + PB * NB

subject to

NA = 20 - 0.62PA + 0.30PB

NB = 29 + 0.10PA - 0.60PB

PA, PB >= 0

The decision variables are PA and PB, which are the prices of model A and model B, respectively. The objective function is to maximize the total revenue, which is equal to the product of the price and quantity sold for each model. The constraints are that the quantity sold for each model must be non-negative.

The spreadsheet model for the problem is shown below. The input data is in the range A1:B2. The calculations for the objective function and the left-hand side of the constraints are shown in the range C1:C4.

The Answer Report from Solver is shown below. The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The recommendation is to set the prices of model A and model B to $18 and $25, respectively. This will maximize the total revenue from the sale of these products.

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A system of linear equations to represent this situation are;

x + y + z = 12

2.5x + 3.25y + 1.25z = 25.75

z = y + 2

The true statement is: D. the solution to this system is nonviable because it results in a fractional number of flowers.

In order to write a linear equation to describe this situation, we would assign variables to the number of each type of flowers, and then translate the word problem into a linear equation as follows:

For the total number of each type of flowers, we have the following linear equation:

x + y + z = 12          .....equation 1.

For the total cost of a bouquet containing each type of flowers, we have the following linear equation:

2.5x + 3.25y + 1.25z = 25.75    .....equation 2.

Since there are two (2) more lilies than carnations, we have the following linear equation:

z = y + 2           .....equation 3.

Substituting equation 3 into eqn. 1, we have:

x + y + y + 2 = 12

x + 2y = 10

x = -2y + 10

2.5x + 3.25y + 1.25z = 25.75

2.5(-2y + 10) + 3.25y + 1.25(y + 2) = 25.75

-1.78y = -3

y = 3/1.78

y = 1.6854

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Answer: The answer is where the n is the number of people in the club

Step-by-step explanation:

A)Write down an expression, in terms of n, for the number of people in the club.

B) Two of the people in the club are chosen at random. The probability that both these people are men is one tenth. Calculate the number of people in the club.

By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.

The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.

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Comparing the percentages we see that Marco listened to his albums more than Tucker.

A fraction is a number that represents a portion of a whole and is stated as a ratio of two integers, where the denominator is the overall number of equal parts and the numerator is the number of parts. A percentage is a figure that is stated as a fraction of 100 and denotes a portion of a whole. You multiply by 100 to convert a fraction to a percentage. You divide a percentage by 100 and simplify it to get a fraction.

Given that, Tucker listened to 3/8 of his albums.

Converting into percentage we have:

3/8 = 0.375 = 37.5%

For Marco he listened to 39% of his albums.

Thus, comparing the percentages we see that Marco listened to his albums more than Tucker.

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Если высота, полученная из вершины A, также является медианной, треугольник будет равнобедренным, так что AB = AC, а BC - основание. Следовательно, эта высота также является биссектрисой угла. - Если медиана, проведенная из вершины A, также является биссектрисой угла, треугольник будет равнобедренным, так что AB = AC, а BC - основание.

Answer:

6.63

Step-by-step explanation:

Since you are using a right triangle, you  are  going to be doing the pythagorean theorem. \(a^{2} +b^{2} =c^{2}\) where a  and  b are the legs and c is the slanted side/hypotunse. Let plug it in.

\(a^{2} +10^{2} =12^{2}\)

\(a^{2}\)+100=144

\(a^{2}\)=44

sqr root of 44 is \(2\sqrt{11}\) which is about 6.63

There to distribute three different teddy bears and nine identical lollipops to four children is a) 14080,

Since we have given that Number of teddy bears = 3

Number of identical lollipops = 9

Therefore, the Total number of things

= 3+9

=12

Number of children = 4

(a) Without restriction?

A number of ways would be 4³ x 12c3

= 14080

Therefore, a) 14080,

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