(3,3) and (1,-3)
write a linear equation

Answer:

380

Step-by-step explanation:

Find 1% of e:

180 / 45 = 4

Find 95% of e:

4 * 95 = 380

I dilation is when a shape gets bigger or smaller. It's on a scale factor of 4 so just move each of the dots outward 4 units to have the new dilated shape.

The number of visits that Alang makes to earn a free movie ticket will be 8.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Alang has a rewards card at a cinema.

The mere act of joining up earns him 55 reward points.

Every time he enters a movie theater, he receives 3.5 points.

To receive a free movie ticket, he needs 83 points.

Let x be the number of visits. Then the equation is given as,

3.5x + 55 = 83

Simplify the equation, then the value of x will be

3.5x = 83 - 55

3.5x = 28

x = 28 / 3.5

x = 8

The number of visits that Alang makes to earn a free movie ticket will be 8.

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Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the square root basically means ___ multiplied by ___ equals the number in the square root, in this case being 9. the +/- symbol means that -3 multiplied by -3 equals positive 9 and positive 3 multiplied by positive 3 equals positive 9

Answer:

1. y = 2x

2. y = x + 2

3. y = 2

Step-by-step explanation:

the real equation is:

y = 2x + 0 which is the same as y = 2x.

Equation for 2:

y = 1x + 2.

Equation for 3:

y = 2

Sloper: 0

y-intercept: 2

Answer:

Interest rates are annual, so you must convert the units into years.

Step-by-step explanation:

Also, I LOVE your pfp:)

The relationship between the actual air temperature (x) and the temperature adjusted for wind chill (y) is given by the following formula:

y = 35.74 + 0.6215x - 35.75(v^0.16) + 0.4275x(v^0.16)

where:
- y is the temperature adjusted for wind chill (in degrees Fahrenheit)
- x is the actual air temperature (in degrees Fahrenheit)
- v is the wind speed in miles per hour

To calculate the temperature adjusted for wind chill (y), you need to substitute the values of x (actual air temperature) and v (wind speed) into the formula and simplify the equation.

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If the Cylinder's height equals to the diameter of its base , then the fraction of the total surface area of the cylinder to the total surface area of the two bases is 1/3 .

The curved surface area of the cylinder with height "h" and radius "r" is written as ⇒ \(2\pi rh\) ;

the area of the top and bottom of the cylinder is ⇒ \(\pi r^{2} + \pi r^{2}\) = \(2\pi r^{2}\) ;

the total surface area of the cylinder will be ⇒ \(2\pi rh\) \(+2\pi r^{2}\)  ....equation(1)

it is given that the height of cylinder is equal to the diameter of the base ,

that means ; \(h = 2r\)

Substituting the value \(h = 2r\) in the equation(1) ,

we get ,

total surface area of cylinder = \(4\pi r^{2} +2\pi r^{2}\) = \(6\pi r^{2}\)

So , the required fraction is = \(\frac{2\pi r^{2} }{6\pi r^{2} }\) ,

On simplifying ,

we get ,

= \(\frac{1}{3}\)  .

Therefore , the fraction of two bases to the total surface area is \(\frac{1}{3}\) .

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Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

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

=(-1-7)/(-3-1)

=-8/-4

=2

2500 - 2000y  is  value with every passing year. is an expression for the cost (C) of the car after y years of use.

What does "cost simple" mean?

The amount of money that a business had to spend on the production of its goods or services is known as the cost. It is calculated as the sum that the business spends to create a specific number of a product.

                                    In plain English, it is the cash a business spends on things like labor, services, raw materials, and more.

The cost of the car is  $25,000

and it loses its original value by  8%

.

Hence the cost of the car after y years = $(2500 - 2500 * 0.08 * y)

                                                    = $(2500 - 2000 * y

                                                = 2500 - 2000y

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All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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The survey results show that the estimates for the number of students in the school who prefer rap music range from 110 to 154. The center of the estimates is around 121, with a variation of about 66.

To estimate the number of students who prefer rap music, multiply the proportion who prefer rap in each sample by the total number of students in the school (440)

Sample 1: 0.25 x 440 = 110

Sample 2: 0.20 x 440 = 88

Sample 3: 0.30 x 440 = 132

Sample 4: 0.35 x 440 = 154

The center of the estimates is the average of the four estimates: (110 + 88 + 132 + 154) / 4 = 121. Variability can be described using the range (154 - 88 = 66) or the standard deviation of the estimates, which requires additional calculations.

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Answer:

150pi

Step-by-step explanation:

The formula for the volume of a cone is one-third the volume of a cylinder.

It is   \(V=\frac{1}{3} Bh\)   where B is the area of the circle base and h is the height of the cone.

To find the base of the cone, use the formula for the area of a circle. So, the radius is 5. So, the area of the base is pi × radius².

\(5^{2} =25\)

\(\frac{1}{3}\) × 25pi × 18 = 150pi

Answer:

the unit rate, in chapters per hour, would be how many chapters in one hour --- but, for 23 chapters/78 hours = this fraction (23/78) is already in simplified (i.e., reduced) form --- i.e., 23 is prime, and 78 = 2(39) = 2(3)13, so 23 and 78 contain no factors in common --- so, the unit rate would be (23/78) chapters per hour --- if the problem had been, for example, 23 chapters in 69 hours, then the unit rate would have been (23/69) chapters per hour = (1/3) chapters per hour, or one chapter every 3 hours (though this is not a unit rate)

Step-by-step explanation:

im wrong but make sure u solve it and see if e  

GiveN:

To Find:

Step-wise-Step Explanation:

Considering that Isabel reads the book at a constant rate or we can say that no. of books she read is same for all the 8 hours.

⇒ In 8 hours = 24 chapters

⇒ In 1 hour = 24 / 8 chapters

⇒ In 1 hour = 3 chapters

That means, Isabel reads 3 chapters per hour with the same pace. The Question can be simply solved by using Unitary method\(.\)

Answer:

false

Step-by-step explanation:

Because the length of the sides are not the same

Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.

High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.

It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.

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Answer:

7

Step-by-step explanation:

4 and 1/2 + 6 and 7/8 = 11 and 3/8 cups

(11 and 3/8) / (1 and 5/8) = 7 scoops

A squirrel dispenser can hold 4 1/2 cups of plants. Some other squirrel feeder holds 6 and 7/8 cups of seeds. Yet another scoop of seeds equals 1 and 5/8 cup. Filling both squirrel feeders requires 7 scoops of seeds.

Therefore,

Formulate the following based on the given conditions:

\($\left(4 \frac{1}{2}+6 \frac{1}{8}\right) \div 1 \frac{5}{8}$\)

Divide the expression into fractions:

\($\frac{\left(\frac{4}{1}+\frac{1}{2}\right)+\left(6+\frac{7}{8}\right)}{1+\frac{5}{8}}$\)

To find the least common denominator, multiply the fraction by:

\($\frac{\left(\frac{4 \times 2}{1 \times 2}+\frac{1}{2}\right)+\left(6+\frac{7}{8}\right)}{1+\frac{5}{8}}$\)

Determine the product or quotient:

\($\frac{\left(\frac{8}{2}+\frac{1}{2}\right)+\left(6+\frac{7}{8}\right)}{1+\frac{5}{8}}$\)

Divide the numerators by the common denominator:

\($\frac{\frac{8+1}{2}+\left(6+\frac{7}{8}\right)}{1+\frac{5}{8}}$\)

Divide the expression into fractions:

\($\frac{\frac{8+1}{2}+\left(\frac{6}{1}+\frac{7}{8}\right)}{1+\frac{5}{8}}$\)

Expand the fraction to get the least common denominator:

\($\frac{\frac{8+1}{2}+\left(\frac{6 \times 8}{1 \times 8}+\frac{7}{8}\right)}{1+\frac{5}{8}}$\)

Determine the product or quotient:

\($\frac{\frac{8+1}{2}+\left(\frac{48}{1 \times 8}+\frac{7}{8}\right)}{1+\frac{5}{8}}$\)

Divide the numerators by the common denominator:

\($\frac{\frac{8+1}{2}+\frac{48+7}{8}}{8+1}$\)

Divide the expression into fractions:

\($\frac{\frac{8+1}{2}+\frac{48+7}{8}}{\frac{1}{1}+\frac{5}{8}}$\)

\($\frac{\frac{8+1}{2}+\frac{48+7}{8}}{\frac{8}{8}+\frac{5}{8}}$\)

Divide the numerators by the common denominator:

\($\frac{\frac{8+1}{2}+\frac{48+7}{8}}{\frac{8+5}{8}}$\)

Determine the sum or difference:

\($\frac{\frac{9}{2}+\frac{48+7}{8}}{\frac{8+5}{8}}$\)

Determine the total or difference:

\($\frac{\frac{9}{2}+\frac{55}{8}}{\frac{13}{8}}$\)

To find the least common denominator, multiply the fraction by:

\($\frac{\frac{9 \times 4}{2 \times 4}+\frac{55}{8}}{\frac{13}{8}}$\)

\($\frac{\frac{36}{2 \times 4}+\frac{55}{8}}{\frac{13}{8}}$\)

Divide the numerators by the common denominator:

\($\frac{\frac{36+55}{8}}{\frac{13}{8}}$\)

Then,

\($\frac{\frac{91}{8}}{\frac{13}{8}}$\)

Multiply the reciprocal of a fraction to divide it:

\($\frac{91}{8} \times \frac{8}{13}$\)

Remove the common factor:

\($91 \times \frac{1}{13}$\)

Remove the common factor 7.

7 is the outcome.

Hence, Filling both squirrel feeders requires 7 scoops of seeds.

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Answer:

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer:

0.5 meters of material per muppet

Answer:

∠RPQ = 105

∠R = 45

Step-by-step explanation:

Question 1

By intersecting chord theorem ? = (175 + 35) / 2

? = (175 + 35) / 2

? = 210 / 2

? = 105

(See image below)

Question 2

By intersecting secant theorem ∠R = (140 - 50)/2

∠R = (140 - 50)/2

∠R = 90/2

∠R = 45

(See image below)

Intersecting chord theorem : Corresponding angle equals sum of corresponding arcs divided by two

Intersecting secant theorem : The inscribed angle equals major arc minus minor arc divided by two

By using mean and standard deviation, the results obtained are

a)  The probability that the mean price for a sample of 30 federal income tax returns is within $16 of the population mean = 0.6212

b) The probability that the mean price for a sample of 50 federal income tax returns is within $16 of the population mean = 0.7416

c) )The probability that the mean price for a sample of 100 federal income tax returns is within $16 of the population mean = 0.8904

What is mean and Standard Deviation?

Suppose there is a data set. Mean is the average of the values of the data set.

Variance is the sum of the square of  deviation of the data values from the mean

Square root of variance is the standard deviation.

The Mean Preparation Fee ( \(\mu\) ) for 2017 Federal Income Tax Returns= $273

Standard deviation \(\sigma\) of preparation fees = $100

$16 of mean = 273-16 to 273+16

                      = $257 to $289

(a) The probability that the mean price for a sample of 30 federal income tax returns is within $16 of the population mean

The formula used for finding the required probability

\(\ P(\$257 < \bar{X} < \$289) = P(\frac{\bar{x}_1-\mu}{\sigma/\sqrt{n}} < z < \frac{\bar{x}_2-\mu}{\sigma/\sqrt{n}}) \\ \ \\ = P(\frac{257-273}{100/\sqrt{30}} < z < \frac{289-273}{100/\sqrt{30}}) \\ \ \\ = P(-0.88 < z < 0.88 ) \\ \ \\ = P(z < 0.88) -P(z < -0.88)\\ \ \\ =0.8106 -0.1894\)

=0.6212

(b) The probability that the mean price for a sample of 50 federal income tax returns is within $16 of the population mean

\(P(\frac{257-273}{100/\sqrt{50}} < z < \frac{289-273}{100/\sqrt{50}}) \\ \\\ = P(-1.13 < z < 1.13 ) \\ \ \\ = P(z < 1.13 ) -P(z < -1.13 )\\ \ \\ =0.8708 -0.1292 \\ \ \\ =0.7416\)

(c)The probability that the mean price for a sample of 100 federal income tax returns is within $16 of the population mean

\(P(\frac{257-273}{100/\sqrt{100}} < z < \frac{289-273}{100/\sqrt{100}}) \\ \ \ \\ = P(-1.60 < z < 1.60 ) \\ \ \\ = P(z < 1.60 ) -P(z < -1.60 )\\ \ \\ =0.9452 -0.0548 \\ \ \\ =0.8904\)

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Complete Question

The cpa practice advisor reports that the mean preparation fee for federal income tax returns was $273 use this price as the population mean and assume the population standard deviation of preparation fees is $100 use z-table. round your answers to four decimal places. a. what is the probability that the mean price for a sample of 30 federal income tax returns is within $16 of the population mean? b. what is the probability that the mean price for a sample of 50 federal income tax returns is within  $16 of the population mean? c. what is the probability that the mean price for a sample of $100 federal income tax returns is within $16 of the population mean? d. which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to have at least a probability that the sample mean is within of the population mean?

The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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The given triangles are congruent by AAS congruence. The solution has been obtained by using the concept of congruent triangles.

What are congruent triangles?

Triangles which have the same size and the same shape are said to be congruent. This implies that the respective sides and angles of the triangles are both equal.

We are given two triangles as ABC and CDE in which C is the midpoint of BD.

So, from this, we get

⇒ AC = EC                                 (Given)

⇒ ∠ABC = ∠CDE                       (Right Angle)

⇒ ∠ACB = ∠ECD                       (Common Angle)

Hence, the triangles are congruent by the AAS congruence.

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Step-by-step explanation:

First I would look at the y intercept. In a linear equation, y = mx + b, b is the y-intercept and m is the slope. This means that (0,6) is a point on the line since at a y-intercept, the x value is 0. First you should plot this point.

Next, the slope is 4, meaning that for every 1 unit to the right, the line rises 4 units. You can count 1 to the right and 4 up from the y-intercept, which gives you (1,10), a second point on the line. After this, you can connect the two points and there you go, you have a graph!

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

The probability P(GH) is 0%.

Since we know that,

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.

Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur.

This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.

To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

Now to find the probability of GH,

We can see that there is no any poit G and H are showing in the given number line,

Therefore,

Favorable outcomes = 0

Since we know that,

Probability = number of favorable outcomes/total number of outcomes

Thus,

⇒ P(GH) = 0/total number of outcomes

Hence,

⇒ P(GH) = 0%

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