Plz help me with this problem plz

The probability that a college student selected at random has cheated on an exam is 0.3328 or 33.28% .

The given problem requires us to find the probability that a student has cheated on an exam given that the number of college students who have cheated on an exam is 855 and the number of students who have not cheated on an exam is 1717.

The total number of students is the sum of those who have cheated and those who have not cheated.

Total number of possible outcomes = Number of students who have cheated on an exam + Number of students who have not cheated on an exam

= 855 + 1717

= 2572

Therefore, the probability that a college student selected at random has cheated on an exam is:

P(C) = Number of outcomes favorable to event C / Total number of possible outcomes

= 855 / 2572

= 0.3328 or 33.28% (approx.)

Hence, the probability that the student has cheated on an exam is 0.3328 or 33.28% (approx.).

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The only non-negative integer solutions that satisfy these conditions are x = 1 and y = 1. Hence, each of the workout plans, Plan A and Plan B, lasts for 1 hour.

Let's denote the duration of Plan A as "x" hours and the duration of Plan B as "y" hours. From the given information, we can form two equations: Equation 1: 5x + 3y = 6 (total training hours on Wednesday), Equation 2: 5y + 8y = 7 (total training hours on Thursday). Simplifying Equation 1, we get: 5x + 3y = 6 => y = (6 - 5x)/3. Substituting this value of y into Equation 2, we have: 5((6 - 5x)/3) + 8x = 7

Now we can solve this equation to find the value of x: (30 - 25x)/3 + 8x = 7, 30 - 25x + 24x = 21, x = -9. x = 9. Substituting the value of x back into Equation 1, we can find y: 5(9) + 3y = 6, 45 + 3y = 6, 3y = 6 - 45, 3y = -39, y = -13.

However, since we're dealing with the duration of workout plans, the values of x and y cannot be negative. Therefore, we need to revisit the equations: Equation 1: 5x + 3y = 6. Equation 2: 5y + 8y = 7. From Equation 1, we can deduce that 5x must be less than or equal to 6, and from Equation 2, we can deduce that 5y must be less than or equal to 7. The only non-negative integer solutions that satisfy these conditions are x = 1 and y = 1. Hence, each of the workout plans, Plan A and Plan B, lasts for 1 hour.

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The particular solution to the following system is x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

x' = 3x + 2y + 3\(e^{t}\)

y' = 2x + 3y - 2\(e^{t}\)

The first equation can be written as

(D-3)x - 2y = 3\(e^{t}\)

The second equation can be written as

-2x + (D-3)y = - 2\(e^{t}\)

(D-3)²x - 4x = (D-3)3\(e^{t}\) - 4\(e^{t}\)

(D²+9-6D-4)x = 3\(e^{t}\) - 9\(e^{t}\) - 4\(e^{t}\)

(D²-6D+5)x = - 10\(e^{t}\)

Auxiliary Equation

m²-6m+5=0

(m-5)(m-1)=0

CF = C₁\(e^{5t}\) + C₂\(e^{t}\)

Particular Integral

PI = -10\(e^{t}\)/(D²-6D+5)

= -10\(e^{t}\)/(D-5)(D-1)

= (5/2) \(e^{t}\)/D

x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

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Answer:

C because it is not a right angle unlike the others

Step-by-step explanation:

Answer:

2.25 inches

Step-by-step explanation:

Number of books: 12

Height of stack: 27 inches

27 divided by 12 = 2.25 inches

Answer:

9/4

Step-by-step explanation:

27/12 = 9/4 inch

= 2,25 inch

Answer:

16 cups of sugar

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

So our ratio here is 2:3. Here's what we're gonna do:

2 + 3 = 5 for every time he makes the recipe

40 / 5 = 8

To double check:

2 x 8 = 16

3 x 8 = 24

16 + 24 = 40

Answer:

8.29

Step-by-step explanation:

Answer:

8.25? I'm so sorry i guessed

Step-by-step explanation:

The theoretical probability of event E, denoted by P(E), is the number of favorable outcomes divided by the total number of possible outcomes.

The theoretical probability of an event E, denoted by P(E), is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given sample space.

In other words, it represents the likelihood of occurrence of event E based on the underlying theoretical assumptions.

Theoretical probability is derived from a theoretical or mathematical model and is based on the assumption that all outcomes in the sample space are equally likely.

It provides a theoretical expectation of the probability of an event occurring under ideal conditions.

To calculate the theoretical probability, we divide the number of favorable outcomes (the outcomes that meet the criteria for event E) by the total number of possible outcomes in the sample space.

This ratio represents the probability of event E occurring.

For example, if we have a fair six-sided die and we want to calculate the theoretical probability of rolling a 3, there is only one favorable outcome (rolling a 3) out of six possible outcomes (numbers 1 to 6).

Therefore, the theoretical probability of rolling a 3 is 1/6 or approximately 0.1667.

It's important to note that theoretical probability assumes ideal conditions and equal likelihood of all outcomes, which may not always reflect the real-world situation.

In practice, empirical probability based on observed frequencies is often used when actual data is available.

In summary, the theoretical probability of event E is the ratio of the number of favorable outcomes to the total number of possible outcomes in the sample space, providing a mathematical estimate of the likelihood of event E occurring.

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David, Jeff, and Paula have (7d)/3 books.

To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:

1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.

Now, to find the total number of books for all three of them, we simply add the number of books each person has:

Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d

To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3

Now, we can simplify the expression:
Total books = (7d) / 3

So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.

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The two options that could result from combining two linear functions with addition are "16x – 12" and "17x – 12". The r to your question is:

To combine two linear functions with addition, you simply add the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with addition, you add the coefficients of x and the constant terms. So, 3x + 4 + 2x - 5 becomes (3 + 2)x + (4 - 5) = 5x - 1.

To combine two linear functions with multiplication, you multiply the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with multiplication, you multiply the coefficients of x and the constant terms. So, (3x + 4)(2x - 5) becomes

(3 * 2)x^2 + (3 * -5)x + (4 * 2x) + (4 * -5)

= 6x^2 - 15x + 8x - 20

= 6x^2 - 7x - 20.

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The tree is 10 meters tall.

To find the height of the tree, we can use the concept of similar triangles. The ratio of the height of the tree to the length of its shadow should be equal to the ratio of the height of the post to the length of its shadow, since they are both located in the same plane and are being illuminated by the same light source.

Let's use proportions to solve this problem. We can set up the proportion:

height of tree / length of tree's shadow = height of post / length of post's shadow

Let h be the height of the tree. Then we have:

h / 15 = 2 / 3

Cross-multiplying, we get:

3h = 30

h = 10

Therefore, the tree is 10 meters tall.

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The answer is B

Secion 2, I believe.

Answer:

The bag contains $5.19 in coins.

Step-by-step explanation:

18% of 50 = 9

9 of the coins are pennies

9 cent value

34% of 50 = 17

17 of the coins are dimes.

$1.7 value

4 more nickels than pennies: 9+4 = 13

0.65 cent value

9 + 17 +13 = 39

50 - 39 = 11

11 of the coins are Quarters

$2.75 value

Add all of the coin values together:

0.09 + 1.70 + 0.65 + 2.75 = $5.19

The bag contains $5.19 in coins.

Answer: x = 1/2

Step-by-step explanation: Set it equal to zero by subtracting 4x from both sides:

4x² - 4x + 1 = 0

Now, factor it:

(2x - 1)(2x - 1)

Set each one equal to zero, but since they’re the same, you only need to do it once:

2x - 1 = 0

Add 1 to both sides:

2x = 1

Divide both sides by 2:

x = 1/2

Hope this helps!

Answer:

x=1/2

Step-by-step explanation:

4x^2+1=4x

or,4x^2-4x+1=0

or,(2x)^2 - 2*2*x+(1)^2 =0

or,(2x-1)^2 =0

or,2x-1 =0

or,2x=1

Therefore, x=1/2

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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The average of children per household is approximately 2.1387931034482758.

What is average ?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

To compute the average number of children per household, you would add up the total number of children in all the surveyed households and divide that number by the total number of households surveyed. You can use the following formula:

Average = (Sum of (children x frequency)) / (Total number of households surveyed)

Children Frequency Children x Frequency

0         2                 0

1         8                 8

2         10                 20

3         4                 12

4         3                 12

5         2                 10

Sum of (children x frequency) = 8 + 20 + 12 + 12 + 10 = 62

Total number of households surveyed = 2 + 8 + 10 + 4 + 3 + 2 = 29

Average = 62 / 29 = 2.1387931034482758

So the average number of children per household is approximately 2.1387931034482758

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Given:

He has $20 to spend and the frogs cost $2.50 each.

To find:

The inequality to find how many frogs he can afford.

Solution:

Let x be the number of frogs he can afford.

Cost of one frog = $2.50

Cost of x frogs = $2.50x

He has $20 to spend. It means, the total cost, i.e., $2.50x, must be less than or equal to $20.

\(2.50x\leq 20\)

Divide both sides by 2.50.

\(x\leq \dfrac{20}{2.50}\)

\(x\leq 8\)

Therefore, the maximum number of frogs he can afford is 8.

Answer: To get 29 grams of protein and 61 grams of calcium, one would need to consume 12.5 servings of MP and 5.5 servings of RB.

In order to obtain 29 grams of protein, one would need to consume an equivalent of 12.5 servings of MP (29 grams ÷ 2 grams).

To obtain 61 grams of calcium, one would need to consume an equivalent of 5.5 servings of RB (61 grams ÷ 11 grams).

Therefore, in order to get 29 grams of protein and 61 grams of calcium, one would need to consume 12.5 servings of MP and 5.5 servings of RB.

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Answer:

Read below

Step-by-step explanation:

Notebooks:

275 x 11 = 3,025

laptops:

Is this a mistake but are the desktop computers and laptop computers the same because laptops and desktops are two different things but they are BOTH computers.

300 x ?

How many laptops did you get?

Answer:

n=3025.........d=6000

Step-by-step explanation:

you multiply the cost of the item (275$ or 300$) by the quantity. Since you have 11 notebook computers and 20 desktop computers, you multiply the cost of each by the quantity (275$ x 11) and (300$ x 20)  to get your answer.

Ex.-

275 x 11 = 3025$  =   n=3025$

300 x 20 = 6000$   = d=6000$

Happy to help! :)

The utility of a payoff of 75 for decision maker b is u(75) = 8.5.

What is utility?

Utility is an abstract concept that is used to measure the satisfaction or happiness that a consumer gets from consuming a good or service. It is a measure of the worth or value that an individual assigns to a good or service. Utility can be quantified using different methods, including cardinal, ordinal, and interval approaches.

What is a payoff?

A payoff is the amount of money or reward that a player receives for participating in a game or contest.

It is the net benefit or return that a player gets from an investment or action. The payoff is used to motivate players to take a certain action or decision.

What is the utility of a payoff of 75 for decision maker b?

Given that u(100) = 10 and u(0) = 0, we can use the utility function to determine the utility of a payoff of 75 for decision maker b. The utility function is given as:u(x) = 1/2 ln (x + 1)We can use this function to calculate the utility of a payoff of 75 as follows:u(75) = 1/2 ln (75 + 1) = 8.5Therefore, the utility of a payoff of 75 for decision maker b is u(75) = 8.5.

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Answer:

Step-by-step explanation:

x = (20 + 12)/2

x = 32/2

x = 16

Answer:

17

Step-by-step explanation:

Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56

To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.

In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:

8 ( 3 + 4 ) = 8 × 3 + 8 × 4

Multiply the numbers

= 24 + 32

Add the numbers

= 56

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The general solution of the given differential equation (x+3)y' + y = ln(x) is y = Ce^(-ln(x)) - x - 3, where C is a constant. To find the specific solution satisfying the initial condition y(1) = 10, we substitute x = 1 and y = 10 into the general solution equation and solve for C. The specific solution is y = 10e^(-ln(x)) - x - 3.

To find the general solution of the differential equation, we rearrange the equation to separate the variables: (x+3)y' + y = ln(x) becomes dy/(y-ln(x)) = dx/(x+3). Integrating both sides, we obtain ln|y-ln(x)| = ln|x+3| + C, where C is the constant of integration. Simplifying, we have |y-ln(x)| = e^(ln(x+3)+C). Since e^C is another constant, we can rewrite it as |y-ln(x)| = Ce^ln(x+3). By removing the absolute value, we get y - ln(x) = Ce^ln(x+3). Finally, we simplify the expression as y = Ce^(-ln(x)) - x - 3, where C is a constant.

To find the specific solution satisfying the initial condition y(1) = 10, we substitute x = 1 and y = 10 into the general solution equation: 10 = Ce^(-ln(1)) - 1 - 3. Since ln(1) = 0, the equation becomes 10 = Ce^0 - 1 - 3, which simplifies to 10 = C - 4. Solving for C, we find C = 14. Therefore, the specific solution is y = 14e^(-ln(x)) - x - 3, or more simply, y = 10e^(-ln(x)) - x - 3.

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The true statement about the residual plot is (a) The regression line is a good model because there is no pattern in the residuals.

For a residual plot to be considered a good model, the points on the plot must be at random and they must not follow a specific pattern

From the graph, we can see that the points are scattered

Hence, the true statement about the residual plot is (a)

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