What is the slope between the two points (8, -2) and (-7, 10)?

The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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Answer:

Step-by-step explanation:

C

The random variables x and y are defined as x = 1 if the die comes up 3, and x = 0 otherwise, and y = 1 if the die comes up 5, and y = 0 otherwise. The variable z is the product of x and y, which is 1 only when both x and y are 1. The probability that z is 1 is 1/36.

When we toss a fair six-sided die, there are six possible outcomes that are equally likely. The values of x and y depend on the outcome of the die. The variable x is equal to 1 if the die comes up 3, and x is equal to 0 otherwise. Similarly, the variable y is equal to 1 if the die comes up 5, and y is equal to 0 otherwise.

Therefore, x and y are both binary variables, taking on values of 0 or 1. The probability that x is 1 is 1/6, since there is only one way to get a 3 out of six possible outcomes. The probability that y is 1 is also 1/6, since there is only one way to get a 5 out of six possible outcomes.

The variable z is defined as the product of x and y, which is 1 only when both x and y are 1. Therefore, z is also a binary variable that takes on values of 0 or 1. The probability that z is 1 is the probability that both x and y are 1, which is equal to the probability of getting a 3 and a 5 on the same roll of the die.

Since the outcomes of the die are independent, the probability of getting both a 3 and a 5 on the same roll is the product of the probabilities of getting a 3 and a 5 separately, which is equal to (1/6) × (1/6) = 1/36. Therefore, the probability that z is 1 is 1/36.

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Answer:

40 square inches.

Step-by-step explanation:

It is given that the new club sticker is in the shape of a triangle.

Height of triangle = 8 inches

Base of triangle = 10 inches

We need to find the area of sticker.

Area of triangle \(=\dfrac{1}{2}\times base \times height\)

Substitute base = 10 and height = 8 in the above formula.

Area of triangle \(=\dfrac{1}{2}\times 10\times 8\)

Area of triangle \(=\dfrac{80}{2}\)

Area of triangle \(=40\)

Therefore, the area of the club sticker is 40 square inches.

Answer: 40 in

Step-by-step explanation:

For confidence interval: support of the association rule A to B is 0.5 and the confidence of the association rule A to B is 0.5.

For Support and confidence of the association rule A - B

To determine the support and the confidence of the association rule A → B, where A = {1, }, B = {1}, we use the formulas given below:

Support(A → B) = frequency of (A, B) / N

Confidence(A → B) = frequency of (A, B) / frequency of A

where N is the number of transactions in the database.

To find the frequency of (A, B) and the frequency of A.

Thus Frequency of (A, B) = 1

Since there is only one transaction in the database where both A and B occur, the frequency of (A, B) is 1.

Frequency of A = 2

The itemset {1, } occurs in two transactions T₁ and T₂.

Hence, the frequency of A is 2.

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Answer:

~14.4

Step-by-step explanation:

You can use the Pythagorean Theorem to find the hypotenuse (corner to corner) of the line between the corners of the rectangle.

A^2 + b^2 = c^2

8^2 + 12^2 = 208
√208 = 14.42

Answer:

The slope is \( \frac{5}{7} \).

Step-by-step explanation:

☆Remember: \(m = \frac{y_2 - y_1}{x_2 - x_1} \)

☆To find the slope, all we need to do is plug in according to the formula.

\(m = \frac{2 - 7}{1 - 8} = \frac{ - 5}{ - 7} = \frac{5}{7} \)

☆Therefore, the slope is \( \frac{5}{7} \).

The inequality representing the number of balloons the dance committee could buy is x ≤ 75. This means that the committee can buy up to 75 balloons with the remaining budget of $60.

To solve the inequality representing the number of balloons the dance committee could buy, let's denote the number of balloons as "x." Since each balloon costs $0.80, the total cost of the balloons can be calculated by multiplying the cost per balloon with the number of balloons:

Total cost of balloons =\($0.80 \times x\)

The committee has a budget of $125, and they have already spent $65. Therefore, the amount of money remaining for buying balloons can be determined by subtracting the amount spent from the total budget:

Money remaining = Budget - Amount spent

Money remaining = $125 - $65

Money remaining = $60

The total cost of the balloons should not exceed the money remaining in the budget. Hence, we can set up the inequality:

$0.80 \(\times x\) ≤ $60

To isolate x, we divide both sides of the inequality by $0.80:

x ≤ $60 / $0.80

x ≤ 75

Its important to note that the inequality assumes that the committee wants to use the entire remaining budget for buying balloons. If they want to allocate some of the remaining money for other decorations or expenses, the maximum number of balloons they can buy may be less than 75

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Answer:

-4 ≤ 5. answerrrrrrrrrr

Answer:

-4< n =< 5

greater than -4

less than or equal to 5

The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/

The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.

To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)

The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.

Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.

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Answer:

It's 994

Step-by-step explanation:

Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.

If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.

In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.

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Answer:

x = 6

Step-by-step explanation:

\(\frac{x}{3} -7=-5\)

→ Add 7 to both sides

\(\frac{x}{3} =2\)

→ Multiply both sides by 3

x = 6

The sum of the infinite series is approximately 0.6740, calculated to four decimal places.

The sum of the series can be approximated by adding up the first few terms.

1/4 + (-1/16) + (1/384) + (-1/18432) + (1/798336)

= 0.673975

Therefore, the sum of the series is approximately 0.6740, calculated to four decimal places.

The sum of the infinite series can be approximated by adding up the first few terms. The series is of the form (−1)^n/4^n n! with n = 1,2,3,4,… The first term is 1/4, which is the sum when n=1. The second term is then (-1/16), which is the sum when n=2. This pattern continues, with the next terms being 1/384 and -1/18432, respectively. After adding up the first five terms, we get a sum of 0.673975. Therefore, the sum of the series is approximately 0.6740, calculated to four decimal places.

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The histogram represents the sampling distribution of the proportion of heads in 10 flips of the coin, which is an example of a binomial distribution.

In this scenario, the parameter of interest is the true population proportion of heads in a coin flip. The process of flipping the coin 10 times and recording the proportion of heads is an example of a binomial distribution, where each flip is a Bernoulli trial with a probability of success (getting heads) of 0.5.
By repeating this process many times and creating a histogram of the results, we are creating a sampling distribution of the proportion of heads in 10 flips of the coin. This allows us to see the variability of the proportion of heads we could get from different samples of the same size.
If we are using simple random sampling, meaning each possible sample of 10 coin flips has an equal chance of being chosen, then there should be no bias present in our results. However, if we are using a different sampling method, such as convenience sampling, there could be a bias present in our results.

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a. Equilibrium price and quantity can be calculated by equating the demand and supply function i.e,

Qd = Qs:

50 - 2P = -10 + 2P

P = 20

Q = 50 - 2(20)

Q = 10 units

Thus, the equilibrium price and quantity are P = 20 and Q = 10 units respectively.

The graph for demand and supply function at equilibrium is shown below:

Equilibrium graph. Producer surplus can be calculated as the area below the price line and above the supply curve.

At equilibrium, the producer surplus can be calculated as:

PS = (20-10) * (10- (-10))/2

PS = 150

The producer surplus at equilibrium is 150.

c. Total surplus is the sum of consumer and producer surplus. At equilibrium, the total surplus can be calculated as:

TS = CS + PS

TS = (1/2) * (20-50) * 10 + (20-(-10)) * 10/2

TS = -150 + 150

TS = 0 units

The total surplus at equilibrium is 0 units. The new budget line equation can be derived from the following demand function:

Q = 50 - 2P

P = 25 - Q/2

Let M denote the new budget line.

If all the income is spent on the product, then the maximum price and quantity of the product that can be purchased can be given as:

M = PQ + Y

where, Y denotes the income.

Let Y = 1000 and P = 20, the new budget line can be calculated as:

M = 20Q + 1000

New budget line equation: M = 20Q + 1000

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The addition of the three interior angles of a triangle is equal to 180°.

Considering triangle JMR, we get:

Substituting with the data provided in the diagram:

Considering triangle KNP, we get:

Substituting with the data provided in the diagram:

In consequence, the next angles are congruent:

Applying the AAA similarity theorem, then triangles JMR and NPK are similar.

A similarity ratio is the ratio of the lengths of the corresponding sides of two similar polygons.

The similarity ratio of triangle JMR to triangle NPK is:

The similarity ratio of triangle NPK to triangle JMR is:

Answer:

the slope is 4/3

Step-by-step explanation:

use the formula:

m=\(\frac{y1-y2}{x1-x2}\)

where x1 and y1 can be any point and x2 and y2 can be any point.

I used the last relation as my x1,y1 and second last relation as my x2,y2 because it is easier to subtract them.

\(\frac{10-2}{7-1}\) which is 8/6 or 4/3

Answer:

3

Step-by-step explanation:

I took the test.

Answer:

D. \(256\pi\ in^2\)

Step-by-step explanation:

To do this, we need to plug in the given values into the equation:

\(SA=2\pi rh+2\pi r^2\\SA = 2\pi 8(8)+2\pi 8^2\\SA=2\pi 64+2\pi 64\\SA=128\pi + 128\pi\\SA=256\pi \ in^2\)

Therefore, the correct option is (a) 2.338.

We know that,\($$s=\sqrt{\frac{SSE}{n-2}}$$We have, $n=342$, $\sum x=3251$, $\sum y=3767.67$, $\sum x^2=33131$, $\sum y^2=45608.17$ and $\sum xy=37621.37$\)Let's calculate the SSE:\($$SSE=\sum y^2-b_1\sum xy-b_0\sum y$$$$n\sum y^2-\sum y\sum y=342*45608.17-(3767.67*3767.67)$$$$=1, 344, 235.6141$$$$b_1=\frac{\sum xy}{\sum x^2}$$$$=\frac{37621.37}{33131}$$$$1.135$$\)

Now, \($$b_0=\frac{\sum y-b_1\sum x}{n}$$$$=\frac{3767.67-(1.135)(\frac{3251}{342})}{342}$$$$=-0.8719$$\)

Therefore, the SSE is:\($$SSE=1, 344, 235.6141-(1.135)(37621.37)-(-0.8719)(3767.67)$$$$=86.4269$$\)

Thus, we can now find s:\($$s=\sqrt{\frac{86.4269}{342-2}}$$$$s=0.3384$$\)

Therefore, the correct option is (a) 2.338.

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The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".

To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:

Probability of having at least a high school education = 1 - Probability of not having at least a high school education.

By using this rule, we can calculate the probability.

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Answer:

lil ***** where ya mom at

Step-by-step explanation

lol

Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

Answer:

Just count the number of zeros:

Step-by-step explanation:

There are 4 zeros, so the answer is 5 x 10^4.

Answer:

5 * 10^4

Step-by-step explanation:

In scientific notation, the amount an exponent has indicates how many zeroes are there.

Since we see four zeroes in the number 50,000

The only equation that would fit is of course 5 * 10^4

Answer:

Step-by-step explanation:

The "key" to this is to recognize that the two lines have to be the same length, they put the drawing on it's side to make it harder to see that. :/  But another way to see this is that it's an isosceles triangle and you know the two legs that they are asking us about have to be the same length,  knowing that.. we can set the two expression equal to each other

3x - 10 = 2x

now solve for x

3x - 10 -2x = 2x - 2x  ( subtracting 2x from both sides )

3x - 2x - 10 = 0

x - 10 = 0

x - 10 + 10 = 0 + 10

x = 10    ( yay)

Using the speed calculation formula, we can conclude that the object travels 18000 feet.

in speed calculation, there's a relation between speed, distance, and time. Speed is the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

From the problem we can obtain some information:

speed = 5 feet/second

time = 1 hour

To calculate the distance, we can do as follows:

distance = speed * time

              = 5 feet/second * 1 hour

To finish this operation, we must change the unit of time so that align with the unit of speed.

1 hour = 3600 seconds

Then we go back to the distance calculation:

distance = 5 feet/second * 1 hour

              = 5 feet/second * 3600 seconds

              = 18000 feet

Thus the object travels 18000 feet.

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Answer:

Step-by-step explanation:

its c don't pick any other answers only c

According to the operation done by Sylvi, the correct expression is 4.75 × 3.25 = 15.4375. Hence, option (c) is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the operation given in the question,

15.4375 ÷ 3.25 = 4.75

As per the rules, if a number is in the division on the left-hand side, after going to the right-hand side it will become in the form of multiplication with another number.

Then,

4.75 × 3.25 = 15.4375.

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Answer:

$4,363.03

i hope i actually get this right because im doing a test right now in math class

Using the interest formulas, it is found that George will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.

Simple Interest:

\(E = Pit\)

In which:

For American Bank, we have that \(P = 3250, r = 0.04, t = 8\), hence:

\(E = Pit = 3250(0.04)(8) = 1040\)

Compound interest:

\(E = P[(1 + r)^t - 1]\)

For Liberty Savings, we have that \(r = 0.0375\), hence:

\(E = P[(1 + r)^t - 1] = 3250[(1.04)^8 - 1] = 1198\)

1198 - 1040 = 158.

He will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.

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The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

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