what are the guidlines

Answer:

Step-by-step explanation:

Step one:

we are told that their joint amount is $62

let John's amount be x

and Pedro's amount be y

so that y=x+15

Step two:

The equation to represent the situation is

62=x+(x+15)

open the bracket and solve for x we have

62=x+x+15

62=2x+15

2x=62-15

2x=47

divide both sides by 2

x=47/2

x=23.5

John has $23.5

Answer:

do it on a calculater

Step-by-step explanation:

but it equels  2 and 22║27

Answer:

30 more pages

Step-by-step explanation:

1-3/5 =2/5

We do this because we are finding the amount left, which is the remaining fraction left, or 2/5

Multiply 75 by 2/5

150/5 = 30

A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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Answer:

Choice a : $96,600

Step-by-step explanation:

The net worth of a person is computed as total assets - total liabilities in money terms

Ben's assets are as follows:

Townhome: $195,000

Savings: $5000

Car: $38,000

Total Assets: 195000 + 5000 + 38000 = $238,000

Ben's liabilities

Home Loan: $120,000

Credit Card: $1,400

Car Loan: $20,000

Total Liabilities = 120000 + 1400 + 20000 = $141,400

Net Worth = 238000 - 141400 = $96,600   (Answer is choice a)

Answer:

A

Step-by-step explanation:

Answer:

(x + 7)² + y² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 7, 0 ) and r = 4 , then

(x - (- 7) )² + (y - 0 )² = 4² , that is

(x + 7)² + y² = 16

Answer:

6

Step-by-step explanation:

[] It is asking to use the graph for when x is 2.5

-> To do this we will look to the x-axis. Look along the axis for 2.5, and then look up until we hit our line for the value of y.

-> This results in 6

-> See attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

J. x = 1

Step-by-step explanation:

Write an equation based on the image of the scales.

3x + 6 = 9

Subtract 6.

3x = 3

Divide by 3.

x = 1

If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".

Answer:

I would choose c

Step -by- step explanation:

When you work out 4 oranges and 4 apples divided by 10 youll get 2 and a makes it a loss and also when you work out b its still a loss and there is a solution to the problem so it has to be c in my opinion.

Answer:

  A. see instructions below

  B. w = 3

Step-by-step explanation:

A. Apparently, your (machine instructions, algebra) are ...

  (multiply by 5, 5w)

  (subtract 6, 5w-6)

  (divide by 3, (5w-6)/3)

  (add 2, (5w-6)/3 +2)

  (output the number, 5)

__

B. Working backward, we want to undo each instruction.

  (subtract 2, 5-2 = 3)

  (multiply by 3, 3·3 = 9)

  (add 6, 9+6 = 15)

  (divide by 5, 15/5 = 3)

  (input the number, 3)

The equation (5w-6)/3 +2 = 5 has the solution w = 3.

Check the picture below.

Carlos will therefore be able to mentally perform the multiplication of 6 x 5 x 8 x 2 by realising that it is similar to 48 x 10.

All the positive and negative complete numbers, as well as zero, are included in the category of integers. The set among all integers is symbolised by the letter Z, and the letter Z is used to represent an integer. There are numerous ways to express integers, including utilising absolute numbers, positive and negative signs, scientific notation, and more. Integers, for instance, can take the following forms:n-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 . Numbers that can be measured or measured, such as the quantity of apples in a basket or the outside temperature, are frequently represented by integers in mathematics.

given

We may take it step by step to understand how Carlos came to the conclusion that the multiplication of 6 x 5 x 8 x 2 equals 48 x 10:

Secondly, grouping 6 x 8 and 5 x 2 will make the multiplication easier: 6 x 5 x 8 x 2 = (6 x 8) x (5 x 2)

The groupings of integers in brackets can then be streamlined as follows: (6 x 8) x (5 x 2) = 48 x 10

Carlos will therefore be able to mentally perform the multiplication of 6 x 5 x 8 x 2 by realising that it is similar to 48 x 10.

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Answer:

reflection over the y axis

Step-by-step explanation:

The probability they choose all democrats is 0.01805

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

Republicans = 11

Democrats = 8

Number of selections = 4

If the selected people are all democrats, then we have

P = P(Democrats) * P(Democrats | Democrats) in 4 places

using the above as a guide, we have the following:

P = 8/19 * 7/18 * 6/17 * 5/16

Evaluate

P = 0.01805

Hence, the probability they choose all democrats is 0.01805

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A regression model can be created to predict selling price based on square footage and number of bedrooms using available data. The model equation includes coefficients that can be estimated to predict the selling price of a house. The number of bedrooms is a significant predictor of selling price and should be included in the model.

To develop the regression model to predict selling price based on the square footage and number of bedrooms, the following steps can be taken:

Collect data on the selling price, square footage, and number of bedrooms for a sample of houses.

Create a scatter plot to visually inspect the relationship between selling price and square footage, and between selling price and number of bedrooms.

Use regression analysis to create a model that predicts selling price based on square footage and number of bedrooms. The model equation will be:

Selling price = b0 + b1(Square footage) + b2(Number of bedrooms)

where b0, b1, and b2 are coefficients to be estimated from the data.

To predict the selling price of a 2,000-square-foot house with three bedrooms, substitute the values into the model equation and solve for selling price:

Selling price = b0 + b1(2000) + b2(3)

Comparing the performance of this model with the models in problem 4-22. The number of bedrooms should be included in the model because it is a significant predictor of selling price. However, further analysis could be conducted to determine if other variables could improve the model's predictive power.

Overall, this regression model can provide a useful estimate of the selling price of a house based on its square footage and number of bedrooms.

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Given a function of two variables, n and k, denoted as h(n, k), the function describes a mathematical relationship or operation that depends on the values of both n and k. Further details about the specific function, its definition, or purpose are required to provide a more comprehensive explanation.

A function of two variables, h(n, k), typically represents a mathematical relationship or operation that involves two independent variables, n and k. The specific form and purpose of the function can vary widely depending on the context or problem at hand.

To understand the behavior and properties of the function h(n, k), additional information is needed. This may include the mathematical expression defining the function, any constraints or conditions on the variables, and the intended interpretation or application of the function.

The function h(n, k) could represent various scenarios, such as a cost function in economics, a probability distribution in statistics, or a mathematical model in a scientific context. Without more details, it is challenging to provide a specific explanation or analysis of the function and its implications.

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The cosecant, secant, and cotangent functions are defined as the reciprocals of the sine, cosine, and tangent functions, respectively which have two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers.

These functions also have a period of 2π and their ranges depend on the range of the corresponding parent function.

Therefore, correct answer will be a. sine, b. cosine and c. tangent.

The trigonometric functions are mathematical functions used to describe relationships involving lengths and angles of triangles. These functions include sine, cosine, tangent, cosecant, secant, and cotangent. Each of these functions has its own unique properties, including period and range.

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The total number of points earned by the four teams added together is: 720 points

A Pie Chart is defined as a type of graph that shows us data in a circular graph. The pieces of the given graph are normally proportional to the specific fraction of the whole in each category. Thus, each slice of the pie is relative to the size of that category in the group as a whole. The entire “pie” usually denotes 100 percent of a whole. Meanwhile, the pie “slices” denotes the portions of the whole.

We are told that:

Number of points earned by yellow team = 202 points

Angle that represents this yellow team = 101 degrees

Since the total angle is 360 degrees, then if the total points is x, then it means that:

(101/360) * x = 202

x = (202 * 360)/101

x = 720 points

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a) it takes 9.61 seconds for the automobile to overtake the truck. b) The automobile was initially 165.34 meters behind the truck. c) During the overtaking, the speed of the truck is 21.142 m/s, and the speed of the automobile is 33.635 m/s.

To solve this problem, we can use the equations of motion to calculate the time it takes for the automobile to overtake the truck, the initial distance between them, and their speeds during the overtaking.

Let's denote the time it takes for the automobile to overtake the truck as t.

(a) For the truck:

Using the equation of motion s = ut + (1/2)a\(t^{2}\), where s is the distance covered, u is the initial velocity (0 in this case), a is the acceleration (2.2 m/s^2), and t is the time, we can find the distance covered by the truck when the automobile overtakes it.

s_truck = (1/2) * 2.2 * \(t^{2}\)

s_truck = 1.1 *  \(t^{2}\)

For the automobile:

s_automobile = (1/2) * 3.5 * \(t^{2}\)

s_automobile = 1.75 *  \(t^{2}\)

Given that the truck has moved 60 m when the automobile overtakes it, we can set up the equation:

s_truck = s_automobile + 60

1.1 *  \(t^{2}\)  = 1.75 *  \(t^{2}\)  + 60

Simplifying the equation:

0.65 *  \(t^{2}\)  = 60

\(t^{2}\)  = 60 / 0.65

\(t^{2}\)  ≈ 92.3077

t ≈ √92.3077

t ≈ 9.61 seconds

Therefore, it takes approximately 9.61 seconds for the automobile to overtake the truck.

(b) To find the initial distance between the automobile and the truck, we can substitute the value of t into either of the equations:

s_automobile = (1/2) * 3.5 *  \(t^{2}\)

s_automobile = (1/2) * 3.5 * \((9.61)^{2}\)

s_automobile ≈ 165.34 meters

Therefore, the automobile was initially approximately 165.34 meters behind the truck.

(c) To find the speeds of the automobile and the truck during overtaking, we can use the equation of motion v = u + at, where v is the final velocity, u is the initial velocity (0 in this case), a is the acceleration, and t is the time.

For the truck:

v_truck = 0 + 2.2 * 9.61

v_truck ≈ 21.142 m/s

For the automobile:

v_automobile = 0 + 3.5 * 9.61

v_automobile ≈ 33.635 m/s

Therefore, during the overtaking, the speed of the truck is approximately 21.142 m/s, and the speed of the automobile is approximately 33.635 m/s.

Correct Question :

An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. Then truck has a constant acceleration of 2.2 m/s2 and the automobile has an acceleration of 3.5 m/s 2. The automobile overtakes the truck when it (truck) has moved 60 m.

(a) How much time does it take to automobile to overtake the truck?

(b) How far was the automobile behind the truck initially?

(c) What is the speed of each during overtaking?

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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As the time a basketball player practices increases, the number of points scored in a game decreases with a weak nonlinear association

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given a scatter plot  in terms of the time the player spent practicing and the number of points he scored in the game.

A scatter plot uses dots to represent values for two different numeric variables.

The position of each dot on the horizontal and vertical axis indicates values for an individual data point.

As the time a basketball player practices increases, the number of points scored in a game decreases with a weak nonlinear association.

Hence, As the time a basketball player practices increases, the number of points scored in a game decreases with a weak nonlinear association

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Answer:

Step-by-step explanation:

to factorize \((x-4)^{2} -36\)
(x-4-6) * (x - 4 / 6)
(x-10) * (x+2)

The Slope of line is 3/4 and the y intercept is -3.

We have a graph from a line.

Now, take two points from the graph as (4, 0) and (0, -3)

Now, we know that slope is the ratio of vetrical change (Rise) to the Horizontal change (run)

So, slope= (change in y)/ Change in c)

slope = (-3-0)/ (0-4)

slope= -3 / (-4)

slope= 3/4

Thus, the slope of line is 3/4.

Now, the equation of line is

y - 0 = 3/4 (x-4)

y= 3/4x - 3

and, the y intercept is -3.

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Answer: I believe the socks would be $18

Step-by-step explanation:

75% of 24 is 18. 24-18=6 so the shirt was $6 with the discount. 24-6= 18 so that would leave the socks at $18

According to the question The probability that a New York teenager owns a skateboard or a bicycle is 0.82.

Let's denote the event of owning a skateboard as \(\(A\)\) and the event of owning a bicycle as \(\(B\).\)

We are given:

\(\(P(A) = 0.37\)\) (probability of owning a skateboard)

\(\(P(B) = 0.81\)\) (probability of owning a bicycle)

\(\(P(A \cap B) = 0.36\)\)  (probability of owning both skateboard and bicycle)

To find the probability that the teenager owns a skateboard or a bicycle    \((\(A \cup B\))\) , we can use the formula:

\(\[P(A \cup B) = P(A) + P(B) - P(A \cap B)\]\)

Substituting the given values:

\(\[P(A \cup B) = 0.37 + 0.81 - 0.36\]\)

Calculating:

\(\[P(A \cup B) = 0.82\]\)

Therefore, the probability that a New York teenager owns a skateboard or a bicycle is 0.82.

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Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4​ years.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 400 × 4.4/100 × 4

S.I = 400 × 0.044 × 4

S.I = $70.4.

Next, we would calculate the future value as follows;

S.I = A - P

Future value, A = S.I + P

Future value, A = $70.4 + $400

Future value, A = $470.4.

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Answer:

The discriminant is -7

Step-by-step explanation:

The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:

\(b^2 -4ac\)

Here

b is the co-efficient of x

a is the co-efficient of x^2

and c is the constant

Given equation is:

\(-2x^2+5x-4=0\)

Here

a = -2

b = 5

c = -4

Putting the values in the formula for discriminant

\(= b^2 - 4ac\\= (5)^2 - 4(-2)(-4)\\= 25 - 32\\=-7\)

As the discriminant is negative, the equation has no real solution.

Hence,

The discriminant is -7

Answer:

Step-by-step explanation:

Answer:

You meant like this?

The probability of rolling a 5 on the (x+1)-th roll is P{X=x, Y=5} = (5/6)^(x-1) * (1/6) * (1/6)^4 * (5/6).

To find P{X=x, Y=1}, we need to calculate the probability of rolling a 6 for the first time on the x-th roll and rolling a 5 on the first roll. Since the rolls are independent, we can use the multiplication rule of probability:

P{X=x, Y=1} = P(X=x and Y=1) = P(X=x) * P(Y=1)

We know that X and Y have geometric distributions with parameters p=1/6 and q=5/6, respectively. Therefore,

P(X=x) = (1-p)^(x-1) * p = (5/6)^(x-1) * (1/6)

P(Y=1) = q = 5/6

Substituting these values into the equation above, we get:

P{X=x, Y=1} = (5/6)^(x-1) * (1/6) * (5/6)

To find P{X=x, Y=5}, we need to calculate the probability of rolling a 6 for the first time on the x-th roll and rolling a 5 for the first time on the fifth roll. Again, we can use the multiplication rule of probability:

P{X=x, Y=5} = P(X=x and Y=5) = P(X=x) * P(Y=5|X=x)

We know that Y has a geometric distribution with parameter q=5/6, given that X=x, the probability of rolling a 5 on the (x+1)-th roll is:

P(Y=5|X=x) = (1-q)^4 * q = (1/6)^4 * (5/6)

Substituting these values into the equation above, we get:

P{X=x, Y=5} = (5/6)^(x-1) * (1/6) * (1/6)^4 * (5/6)

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