Rose wants to determine whether her neighbors would be interested in buying candles in her upcoming fundraiser. She stops at every other house on her street to ask her neighbors' opinions.

1. Self-selected sample
2. systematic sample
3. simple random sample
4. Convenience sample

So, 15 and 1 is the pair of numbers whose difference is 14, with the smallest product as 15.

To find the pair of numbers with the smallest product whose difference is 14, we can start by taking the two numbers to be as close to each other as possible. This means we can take one number to be 14 less than the other. For example, we can take the numbers to be 15 and 1. The difference between these two numbers is 14, and their product is 15, which is the smallest product possible for a pair of numbers whose difference is 14.

So, 15 and 1 is the pair of numbers whose difference is 14, with the smallest product as 15.

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Answer:

a^4 with a^2

Step-by-step explanation:

The quadrilateral given is Parallelogram.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

(a) The quadrilateral is sketched as shown in the graph below.

(b) We have to write the equation of four lines AB, BC, CD and AD in the form y = mx + b. m is slope and b is intercept along Y axis.

Coordinates of vertices are A(-5, 2), B(-2, 6), C(3, 5) and D(0,1).

Equation of line AB :

Slope = (6 - 2) / (-2 - -5) = 4/3

Equation in point slope form is

(y - 2) = 4/3(x - -5)

y - 2 = 4/3 x + 20/3

y = 4/3 x + 26/3

Equation of line BC :

Slope = (5 - 6) / (3 - -2) = -1/5

Equation in point slope form is,

(y - 6) = -1/5 (x - -2)

y - 6 = -1/5 x - 2/5

y = -1/5 x + 28/5

Equation of line CD :

Slope = (1 - 5) / (0 - 3) = -4/-3 = 4/3

Equation in point slope form is,

y - 5 = 4/3 (x - 3)

y - 5 = 4/3 x - 4

y = 4/3x + 1

Equation of line AD :

Slope = (1 - 2) / (0 - -5) = -1/5

Equation in point slope form is,

y - 1 = -1/5 (x - 0)

y - 1 = -1/5 x

y = -1/5 x + 1

(c) Opposite sides are having the same slope.

From the sketch, opposite sides are equal.

So quadrilateral is either parallelogram or rectangle.

But if the figure is rectangle, adjacent sides are perpendicular and therefore the product of their slope is -1.

But it is not the case here.

So it is parallelogram.

Hence the given figure is a parallelogram.

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The Matrix's dimensions will be 2 X 2

We are given two matrices with different dimensions and we have to determine the dimensions of the result matrix

Here, we need to understand the rule that will be applied to the matrices' product.

Let's say that two matrices A and B have the following dimensions.

\(A_{m\times n}\) and \(B_{n\times p}\)

The dimensions of C will be given where C is the product of A X B.

\(C_{m\times p}\)

Therefore, in our situation, the first matrix has dimensions of 2 X 3 and the second matrix has dimensions of 3 X 2.

Here m = 2, n = 3, and p = 2

So, The Matrix's dimensions will be

2 X 2

Therefore the right answer is B)

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Given question is incomplete, the complete question is below

What are the dimensions of the product?

1 x 2

2x2

3x3

Answer:

Alicia spent $12 on each book.

Step-by-step explanation:

What we know:

- In the beginning, Alicia had $94

- She bought 7 books, that each cost the same price

- After buying the 7 books, she had $10 left over.

What we need to find:

- The cost of an individual book

Steps:

1. To find how much money she spent in total, we must subtract the leftover amount of money ($10) from the amount of money Alicia started with ($94).

94 - 10 = 84

2. Now, we have to figure out how much money Alicia spent on each book. We know that she spent a total of $84. We need to divide that amount by 7 to find the amount that Alicia spent on one book.

84 ÷ 7 = 12

Check your work:

1. Multiply the cost of one book by the number of books Alicia bought.

12 x 7 = 84

2. Find the sum of the amount Alicia spent and the amount of money Alicia had left over. 84 + 10 = 94

The total amount of money Alicia started with was $94, so we can conclude that Alicia did indeed spend $12 on each book.

Answer:

m = -8/3

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find 2 coordinates

(-70, 70)

(-10, -90)

Step 2: Find slope m

m = (-90 - 70)/(-10 + 70)

m = -160/60

m = -8/3

To solve this problem, we can use the M/M/1 queueing model, where "M" stands for Poisson arrivals and "M" stands for exponential service time, and "1" means there is one server.

From the problem, we know that the arrival rate, λ, is 1/7 customers per minute, and the service rate, μ, is 1/15 customers per minute. The utilization factor, ρ, is given by ρ = λ/μ = (1/7)/(1/15) = 15/7. Since ρ > 1, the system is not stable, and the average customer waiting time is infinite.

To limit the average customer waiting time to 2 minutes, we need to reduce the utilization factor. One way to do this is to increase the number of servers. Let's assume the call center has "k" servers. The average customer waiting time, W, can be approximated by the following formula:

W = (ρ^k / kμ) / (1 - ρ)

We want to find the minimum value of "k" such that W ≤ 2. Rearranging the formula, we get:

k ≥ (ρ/(1-ρ)) * (ρ^(k-1)) * (1/(2μ))

We can use trial and error or numerical methods to find the smallest integer value of "k" that satisfies this inequality. For example, starting with k = 1, we can calculate the right-hand side of the inequality and check if it is greater than or equal to 1. If it is not, we can increase k by 1 and repeat the calculation until we find the smallest integer value of "k" that satisfies the inequality.

Alternatively, we can use a formula for the Erlang C model, which is a generalization of the M/M/k model for multiple servers. The formula gives the probability that a customer has to wait for service, given the arrival rate, service rate, and number of servers. We can then use this probability to calculate the average customer waiting time using Little's law.

The minimum number of customer services needed to achieve the goal of limiting the average customer waiting time to 2 minutes is the smallest integer value of "k" that satisfies the inequality.

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Answer:

I think it might be d because it is the only one with 4x and 10

Answer:

64 ft^2

Step-by-step explanation:

It is a square to start, so each side = x

then     (x+7 )    *    ( x -2)    = 90

          x^2 + 5x -14 = 90

           x^2 + 5x - 104 = 0         factor or use Quadratic Formula to fin x = 8 ft

Original area is then 8 x 8 = 64 ft^2  

To find the perimeter of triangle formed by the tangents to the circles, find radii of circles and side lengths of triangle. The perimeter of triangle formed by the tangents to the circles is 12 times the radius of each circle.

Let's denote the radius of each circle as r. Since the circles are externally tangent to each other, the distance between their centers is equal to the sum of their radii, which is 2r.

When a triangle is formed by connecting the points of tangency on each circle, it creates three isosceles triangles. Each of these isosceles triangles has two congruent sides, which are the radii of the circles.By drawing the triangle, we can observe that the base of each isosceles triangle is equal to 2r, which corresponds to the diameter of one of the circles. The height of each isosceles triangle is equal to r, which is the radius of the circle.

Therefore, each side of the triangle formed by the tangents has a length of 4r.Since the triangle has three equal sides, its perimeter is given by 3 times the length of one side, which is 3 * 4r = 12r.The perimeter of the triangle formed by the tangents to the circles is 12 times the radius of each circle.

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Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.

This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.

As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.

On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.

Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.

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Answer:

x = 15

Step-by-step explanation:

3x - 7 =38

3x = 38+7

3x = 45/3

x = 15

The correct coefficient of x is 5 and the correct equation is 5x-7=38.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3x-7=38.

Solution to given equation is

3x=38+7

3x=45

x=15

The teacher say the answer is 6 less than the answer she found.

Which is x=9

The teacher says that Joan copied the coefficient of x incorrectly

If equation is 5x-7=38

5(9)-7=38

38=38

Therefore, the correct coefficient of x is 5 and the correct equation is 5x-7=38.

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The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The area of the circle is 9π. Then the radius of the circle is given as,

A = π

πr² = π

r² = 1

The center of the circle is at (-7, -15). Then the equation of the circle is given as,

(x + 7)² + (y + 15)² = 1

The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.

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Therefore, the number of different words that can be formed by rearranging the letters of the word "DECEMBER" such that the first three letters are consonants is 720.

To determine the number of different words that can be formed by rearranging the letters of the word "DECEMBER" such that the first three letters are consonants, we need to consider the arrangement of the consonants and the remaining letters.

The word "DECEMBER" has 3 consonants (D, C, and M) and 5 vowels (E, E, E, B, and R).

We can start by arranging the 3 consonants in the first three positions. There are 3! = 6 ways to do this.

Next, we can arrange the remaining 5 letters (vowels) in the remaining 5 positions. There are 5! = 120 ways to do this.

By the multiplication principle, the total number of different words that can be formed is obtained by multiplying the number of ways to arrange the consonants and the number of ways to arrange the vowels:

Total number of words = 6 * 120 = 720

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The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

The net annual cost of the chequing account described in option (a) is $120.60. Option (b) has a net cost of $16.50.

a. To calculate the net annual cost for option (a), we need to consider the monthly fee, processing fee per cheque, and debit transaction fees. The monthly fee is $3.85, which amounts to $3.85 * 12 = $46.20 per year. The processing fee per cheque is 30 cents, and since an average of 2 cheques are written per month, the annual processing fee would be 30 cents * 2 * 12 = $7.20.

The account allows 20 debit transactions per month for free, but any additional debit transactions incur a fee of $0.60 each. With an average of 40 debit transactions per month, we have 40 - 20 = 20 excess debit transactions per month. So, the annual cost of these excess debit transactions would be $0.60 * 20 * 12 = $144. Adding up the monthly fee, processing fee, and debit transaction fees, we get a total annual cost of $46.20 + $7.20 + $144 = $197.40.

b. For option (b), we have interest earnings of 7 percent on a monthly balance of $600, except for the months when the minimum balance falls below $500. Since the account falls below the minimum balance three times a year, interest is not earned in those three months. So, the net interest earnings for the year would be (12 - 3) * ($600 * 0.07) = $29.40.

The monthly service charge for falling below the minimum balance is $15, and it occurs three times a year, resulting in an annual service charge of $15 * 3 = $45. Subtracting the net interest earnings from the annual service charge, we get the net cost of $45 - $29.40 = $15.60. However, it's mentioned that option (b) has a net cost of $16.50. Since the net cost cannot be negative, we can assume a rounding error in the given values or calculations.

In summary, option (a) has a net annual cost of $120.60, while option (b) has a net cost of $16.50.

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The area of the hexagon with side length 5ft and radius 5ft is 64.95 square feet.

A hexagon is a polygon with 6 sides.

Analysis:

Find in the attached file the analysis.

In conclusion, the area of the hexagon is 64.95 square ft.

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The length of a side must be less than the sum of the other two sides. Here, that means x < 10+13, or x < 23.

In addition, remember that the length of a side must be greater than the difference of the other two sides. That means x > 13 - 10, or x > 3.

Therefore we have two limits for the value of x: 3 and 23.

3 < x < 23

Answer:

4/-9 = 2/3

Step-by-step explanation:

By analyzing the graph we will see that the limit that does not exist is the last one.

Well, the first thing we can see here is that this is a piecewise function, and it has a jump at x = 2

We can also see that the domain goes from -6 to 8.

Now we want to see which one of the given limits does not exist, remember that a limit is a tendency to a given value as x tends to a value.

With that in mind, and by reading the graph, we can see that the two limits (from left and right) for x → 2 do exist (there is a jump there, but we can approach that limit from both sides).

That is not the case for the limits of x → -6

As the domain starts in x = -6, the limit from the right (the one with the plus sign) does exist (because it approaches the value -6 from larger values, that are on the domain), but the other limit does not, as it would approach to -6 from smaller values, and these are not in the domain.

So the correct option is the fourth one.

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Answer:

correct option is d

Step-by-step explanation:

Answer:

2

4

8

10

0

0

0

0

0

1

4

9

16

25

1

1

1

1

1

I'm smart I guess :)))))))))))

Solution of laplace´s equation uxx + uyy = 0 including these function :

Hence, the solutions of laplace´s equation is including the following functions above.  

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Answer:

x = 83.7 units

Step-by-step explanation:

Using cosine rule:

→ adjacent/hypotenuse = cos(∅)

→ 56/hypotenuse = cos(48)

→ hypotenuse = 56/cos(48)

→ hypotenuse = 83.7 units

Answer:

83.7

Step-by-step explanation:

We can solve this using SOHCAHTOA:

RQ is adjacent to angle Q and x is the hypotenuse, so we must use the cosine function.

\(cosQ = \frac{RQ}{SQ}\\ cos(48) = \frac{56}{x}\\ x = \frac{56}{cos(48)}\\ x = 83.7\)

Since we have both equations set equal to y, we know that:

\(4x+6=3x^{2}+2x-10\\ \\ 3x^{2}-2x-16=0 \\ \\ (3x-8)(x+2)=0\\\\x=\frac{8}{3}, -2\)

If x=8/3, then y=4(8/3)+6=50/3.

If x=-2, then y=4(-2)+6=-2.

So, the solutions, to the nearest tenth, are:

\(x=2, y=-2\\\\x=2.7, y=16.7\)

Answer:

5 5/8

Step-by-step explanation:

9 = 9/1

so 9 x 5/8 = 9/1 x 5/8

you could quickly make it 45/8 or make it 9x5/1x8

45/8 is improper so you have to see which multiple of 8 is the highest without exceeding the numerator

40 is the closest and it is 8x5 so 5 will be the integer.

there are 5 leftover so 5 is also the numerator

and the denominator stays 8 as there is no further simplifying

so, the answer is 5 5/8

Answer:

5 5/8

Step-by-step explanation:

9*5/8= 45/8

Answer:

Jun 25, 2018 — Reflection over the y -axis. Vertical stretch by a factor of two. Horizontal translation right two units. Vertical translation up two units. I hope this helps you .. ;]

Step-by-step explanation:

Another way to write the absolute value inequality |p|<12 is

-12 < p < 12

This is a term in mathematics that refers to numbers considered regardless of the sign. The concept of absolute values is well appreciated in a number line.  In a case where the signs helps on to position the number but do not have influence in the magnitude or size of the number.

Since absolute values considers the magnitude of the number and not the sign. We can see the equation given to represent values from zero to a point just less than 12 as this will have same magnitude to the point from zero to a point just less than negative 12. The sign just gives the direction.

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