Jen sells a laptop for $1,200, which represents a 20% increase from the price she payed for the laptop. What is the original price Jen paid for the laptop. I NEED HELPPPP!!

In this scenario, a player can place a bet of $4.00 on the outcome of rolling two dice. If the sum of the roll is 7, the player wins $1600, otherwise, they lose $4.00.

To analyze the possible outcomes of rolling two dice, we need to consider all the combinations of numbers that can appear on each die. Each die has six sides, numbered from 1 to 6. When rolling two dice, we can have a total of 36 different outcomes (6 possibilities for the first die multiplied by 6 possibilities for the second die).

Now, we need to determine the sum of each pair of numbers. For example, if the first die shows a 1 and the second die shows a 6, the sum is 7. We can list all the possible outcomes and their corresponding sums:

(1, 1) - Sum: 2

(1, 2) - Sum: 3

(1, 3) - Sum: 4

(1, 4) - Sum: 5

(1, 5) - Sum: 6

(1, 6) - Sum: 7

(2, 1) - Sum: 3

(2, 2) - Sum: 4

(6, 6) - Sum: 12

Out of these 36 outcomes, there are six combinations that result in a sum of 7. These combinations are: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). If the sum is 7, the player wins $1600, and if the sum is any other number, the player loses $4.00.

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We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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The perimeter of half of the basketball court is 194 feet.

The basket ball court is divided into two equal halves. The perimeter of the halve of the basket ball court can be calculated as follows:

Therefore, the perimeter is the sum of the whole sides of half of the basket ball court.

Hence,

perimeter of half of the basket ball court = 94 / 2 + 94 / 2 + 50 + 50

perimeter of half of the basket ball court = 47 + 47 + 100

perimeter of half of the basket ball court = 94 + 100

perimeter of half of the basket ball court = 194 feet

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If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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Answer:

15 miles

Step-by-step explanation:

5 days times 3 miles per day.

the saturdat/Sunday skateboarding stuff is irrelevant to the question asked

By using the formula for the confidence interval and the standard error, we were able to calculate the lower limit of the interval as 7.59.

To construct a 95% CI for the population mean of a normal distribution, we can use the formula:

CI = sample mean ± z* (standard error)

Where z* is the critical value from the standard normal distribution that corresponds to a 95% confidence level (i.e., 1.96), and the standard error is calculated as:

standard error = population standard deviation / √sample size

In this case, we are given that the population variance is 30, so the population standard deviation is √30 = 5.48 (rounded to two decimal places). The sample size is 20, so the standard error is:

standard error = 5.48 / √20 = 1.226

Now, we can use the formula for the CI:

CI = 10 ± 1.96 x 1.22

Simplifying this expression gives us:

CI = (7.59, 12.41)

This means that we are 95% confident that the true population mean lies within the interval from 7.59 to 12.41. The lower limit of the CI is 7.59, rounded to one decimal place.

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The margin of error is 0.033.

What does the term "margin of error" mean simply?

A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results.

                           Simply said, you can determine how unpredictable data and research results are by looking at the margin of error.

Sample size: 565

Number of success: 150

The sample proportion is calculated as follows.

   P = X/n

      = 150/565

       = 0.2654

 The sample proportion is 0.2654

The margin of error is calculated as follows.

  M.O.E. = \(Z_{\alpha /2} * \sqrt{\frac{P( 1 - P)}{n} }\)

               = \(1.780 * \sqrt{\frac{0.2654( 1 - 0.2654}{565} }\)

                 = 0.033

The margin of error is 0.033.

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Answer:

(-6,8)

Step-by-step explanation:

We are given that

\(2x+3y=12\)

The solution of equation is (_,8).

We have to find the missing value in the solution to the equation.

To find the missing value we will substitute y=8 in equation

Substitute y=8

\(2x+3(8)=12\)

\(2x+24=12\)

\(2x=12-24\)

\(2x=-12\)

\(x=\frac{-12}{2}=-6\)

Hence, the solution of equation is (-6,8).

Answer:

Step-by-step explanation:

Answer:

30 meters

Step-by-step explanation:

Perimeter is 2L + 2W

So, it would be 2x9+2x6

that is 18+12

= 30 meters

Answer:

Question 1: b) Find the total distance from A to B

Distance formula:

d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2

d=Square root of (6-4)^2+(12-8)^2+(10-2)^2

d= 9.165 = 9.17 units

Answer:

1 a

Use the midpoint formula:

m=x1+x2/2, y1+y2/2, z1+z2/2

m= 4+6/2 ,8+12/2, 2+10/2

m= (5 ,10, 6)

Step-by-step explanation:

This question is about ratios. Initially, 8 people have enough water for 9 days. When 4 more people join, the water supply will now last for 6 days.

This question involves a concept of Mathematics, specifically in the area of ratios or proportions. The initial premise is that 8 people on a trek have enough water to last them for 9 days. We can express this ratio as 8:9, which means for every 8 persons, the group can sustain its water supply for 9 days.

Now, we must calculate what would happen if 4 more people join the trek. Since now there are 12 people (8 original + 4 new), the new ratio becomes 12:9. However, the amount of water remains fixed. We can find the number of days the water will now last by dividing the quantity of water by the increased number of people, i.e., 9 days * (8 people/12 people) = 6 days.

So, when 4 more people join the group, the water supply will last the whole group for 6 days.

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Answer:

black

black

Step-by-step explanation:

Answer:

13.5 ft²

Step-by-step explanation:

This is also a trapezoid so we can do this formula:

\(A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5\)

The answer to this question is that the florist can make 15 regular bouquets and 15 mini bouquets.

A florist is a person who sells and arranges cut flowers and plants. They typically work in flower shops, floral design studios, or greenhouses.

To calculate this, we need to determine how many roses and peonies are needed for each type of bouquet. For a regular bouquet, 6 roses and 10 peonies are required, and for a mini bouquet, 3 roses and 5 peonies are needed.

There are 85 roses left, so 85 ÷ 6 = 14.17. This means that the florist can make 14 regular bouquets with the remaining roses.

Similarly, there are 163 peonies left, so 163 ÷ 10 = 16.3. This means that the florist can make 16 regular bouquets with the remaining peonies.

Since the florist can only make 14 regular bouquets with the roses and 16 regular bouquets with the peonies, the total number of regular bouquets that can be made is 14 + 16 = 30. However, since only 15 regular bouquets can be made, the florist can only make 15 regular bouquets.

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The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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There are 3220 solutions to x + y + z = 10 where x, y, z are integers satisfying x ≥ −3, y ≥ 0, and z ≥ 3.

The given equation is:

x + y + z = 10 such that x ≥ −3, y ≥ 0, and z ≥ 3. We can solve this problem using generating functions.

Generating Functions:

It is a technique in mathematics used to solve problems of counting, probability, and statistical mechanics.

Consider the equation,

(1) x + y + z = 10 such that x ≥ −3, y ≥ 0, and z ≥ 3.

Here, we have three variables and their values are restricted.

Hence, the generating function for x will be as follows:

(2) (1 + x^4 + x^5 + …) (since x ≥ −3).

The generating function for y is as follows:

(3) (1 + x + x^2 + …).

The generating function for z is as follows:

(4) (x^3 + x^4 + …) (since z ≥ 3).Multiplying (2), (3), and (4), we get:

(5) (1 + x^4 + x^5 + …) (1 + x + x^2 + …) (x^3 + x^4 + …).

On simplifying (5), we get: (6) x^3 (1 − x)^−2 (1 − x^3)^−1.

Using the formula for the geometric series,

(7) (1 − x)^−a = ∑_(n=0)^∞(a+n−1) C n x^n .

Therefore, from (6) and (7), we can write:

(8) x^3 (1 − x)^−2 (1 − x^3)^−1 = ∑_(n=3)^∞[(n+1) C 4 +(n+2) C 5 +…][(n−1) C 2 +(n−2) C 5 +…]x^n.

The coefficient of x^10 in (8) will give the number of solutions of (1).

Therefore, the coefficient of x^10 in (8) is: (9) [(13) C 4 + (14) C 5 + …] [(7) C 2 + (6) C 5 + …].

Hence, the number of solutions to x + y + z = 10, where x, y, z are integers satisfying x ≥ −3, y ≥ 0, z ≥ 3, is given by the coefficient of x^10 in (8) which is calculated in (9).

Therefore, there are 3220 solutions to x + y + z = 10 .

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Answer:

C.  \(f(x)=(x+1)^2-4\)

Step-by-step explanation:

A. the graph is a straight line with slope 1.  It goes up/down infinitely far so the range is all real numbers.  Not A!

B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers.  Not B!

D. The graph is an absolute value function  y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units.  So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units.  The range is all real numbers less than or equal to -4.

See the attached graphs.  image2 is the function in answer choice D.

Answer: what do all the # equal up to then subtract B+A first thenC+A next.then your left over # is the awnser.

Step-by-step explanation:

what do all the # equal up to then subtract B+A first thenC+A next.then your left over # is the awnser.

Using linear functions, it is found that:

\(y_G(x) = x + 30\)

\(y_A(x) = 3x + 10\)

A linear function has the following format:

\(y = mx + b\)

In which:

At Greenpoint Florist, $1 is charged per rose, plus $30 for the vase, hence, the equation is:

\(y_G(x) = x + 30\)

At Ashley's Flowers, $3 is charged per rose, plus $10 for the vase, hence, the equation is:

\(y_A(x) = 3x + 10\)

At the end of this answer, the two solutions are graphed, and it is found that when 10 roses are sold, the total cost would be of $40 for at both shops.

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Answer:

x = 28

Step-by-step explanation:

4x-16 = 2(x+20)

4x-16 = 2x+40

Divide 2x from each side:

2x-16 = 40

Add 16 to each side:

2x = 56

Divide each side by 2:

x = 28

Being able to inspect and adapt at scale is more what enterprise agile is all about.

What is enterprise ?

Despite being another word for a for-profit business or organization, the word "enterprise" is most frequently related to entrepreneurial endeavors. Those who are successful in business are frequently referred to as "enterprising." Legal businesses come in a variety of shapes and sizes, but the most popular ones in the US.

At the executive level, it's about placing smaller wagers. It involves being able to balance the sales and marketing side of the business with your capacity to develop useful products and then sustainably support those products.

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say we're going to add "x" gallons of water, now how many gallons of alcohol is in pure water? well 0%, and 0% of "x" is (0/100) * x = 0.

the 3 gallons we know are 100% alcohol, how many gallons of alcohol is in it?  well (100/100) * 3 = 3.

the resulting mix will have x + 3 gallons total and it's going to be 15% alcohol, how many gallons of alcohol is that? (15/100) * (x+3).

now, the amount of alcohol never increased, so the original 3 gallons of only alcohol will remain even after the water has been added, so.

\(\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{amount}\\ \cline{2-4}&\\ \textit{pure water}&x&0.00&0\\ \textit{pure alcohol}&3&1.00&3\\ \cline{2-4}&\\ mixture&x+3&0.15&0.15(x+3) \end{array} \begin{array}{llll} \\[3em] \leftarrow \textit{this amount}\\\\ \leftarrow \textit{must be equal to this one} \end{array} \\\\\\ 3 = 0.15(x+3)\implies 3=0.15x+0.45\implies 2.55=0.15x \\\\\\ \cfrac{2.55}{0.15}=x\implies 17=x\)

The solution for z in the equation is z = 3y - 1/16(5y + 7x)⁴

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

2(5y+7x)²=8√(3y-z)

Rewrite the equation

So, we have the following representation

2(5y + 7x)² = 8√(3y - z)

Take the square of both sides

This gives

4(5y + 7x)⁴ = 64(3y - z)

Divide both sides by 64

1/16(5y + 7x)⁴ = 3y - z

So, we have

z = 3y - 1/16(5y + 7x)⁴

Hence, the solution is z = 3y - 1/16(5y + 7x)⁴

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Answer:

the answer is 41

Step-by-step explanation:

C. 41

Step-by-step explanation:

Mateo takes 20 minutes to run around the track once.

The rate at which an object goes from one location to another is known as its speed. It is described as the distance that an object covers in a certain amount of time. The distance traveled in one unit of time is typically used to express speed, such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph) (mph).

\(Speed = \frac{distance}{time }\)

Here we assume that the distance around the track is 'd', Adrian's speed is 'a' (in distance per minute) and Mateo's speed is 'm' (also in distance per minute).

Since Adrian takes 15 minutes to run around the track once, we have:

a = d/15

Let's use the formula: time = distance/speed

to write two equations for the total distance traveled by each boy.

For Adrian: 2d = a × 30

For Mateo: 2d = m × t

where 't' is the time it takes Mateo to run around the track once.

Since we know that Mateo runs faster than Adrian, we have:

m > a

Substituting the expression we found for 'a' into the equation for Adrian, we get:

2d = (d/15) × 30

d = 225

Now, we can solve for Mateo's speed using the equation for the total distance traveled by Mateo:

2d = m × t

2(225) = m × t

m = 450/t

Substituting this expression for 'm' into the inequality m > a, we get:

450/t > d/15

15×450 > d×t

6750 > d×t

Substituting d = 225, we get:

6750 > 225t

t < 30

Since Mateo takes less than 30 minutes to run around the track once, and we know that Adrian takes 15 minutes, the possible value for t is 20 minutes: t = 20.

Therefore, Mateo takes 20 minutes to run around the track once.

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Answer:

assuming 13 is supposed to be -13, the equation will be y=-5x+2

Step-by-step explanation:

common difference = -5

y=-5x+b

-3=-5(1)+b - plug in the first term of the sequence

b=2

Answer:    53.213

Step-by-step explanation:

Answer:

ectangles, rhombuses (also called rhombi) and squares are all more specific versions of parallelograms, also called special parallelograms. A quadrilateral is a rectangle if and only if it has four right (congruent) angles.

Step-by-step explanation:

i hope it's right