lee has $\frac{5}{7}$ of a gallon of water. he gives $\frac{1}{2}$ of a gallon of water to his dog, gilligan. what fraction of the amount of water that lee had originally did he give to gilligan?

Answer: 460 students

Step-by-step explanation:

Based on the information given in the question, let the total number of students that attend I.S. 59 be represented by x.

Since we've been given the information that 230 signed up for the school picnic which was 50% of all students in the school. Then, the students in the school will be:

= 50% of x = 230

0.5 × x = 230

0.5x = 230

x = 230/0.5

x = 460

Therefore, 460 students attend the school.

The probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 5, and the number of green ones is 5

A bag contains, red jelly beans = 7.

On that same bag, Orange jelly beans = 10.

The number of green jelly beans contains in a bag = 7.

Here we have to determine the probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 5, and the number of green ones is 5.

Probability of selecting red ones 2 among 7 = \(7_{C_2}\)

= \($\frac{7!}{2!(7-2) !}\)

Probability of selecting red ones = 21.

Probability of selecting orange ones 5 among 10 = \(10_{C_5}\)

= \($\frac{10!}{5!(10-5) !}\)

Probability of selecting Orange ones = 252.

Probability of selecting green ones 5 among 7 = \(7_{C_5}\)

= \($\frac{7 !}{5 !(7-5) ! }$\)

Probability of selecting green ones = 21.

Total jelly beans = 7 + 10 + 7 = 24.

P(event) = \($\frac{\text { Favorable events }}{\text { total events }} \\\)

\($& =\frac{21 \times 252 \times 21}{24 c_{12}} \\\)

\($& =\frac{21 \times 252 \times 2 !}{\frac{24 !}{12 !(24-12) !}} \\&\)

\($& =\frac{21 \times 252 \times 21}{2704156}\)

= 0.0410 .

Therefore the Required probability = 0.0410.

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Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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9514 1404 393

Answer:

  C. f(x) = 2(3^x)

Step-by-step explanation:

The y-intercept is the function value when x=0. Your choices are ...

  A. f(0) = 1 +2 = 3

  B. f(0) = 3(1) = 3

  C. f(0) = 2(1) = 2 . . . . . the function of interest

  D. f(0) = 2(1) -2 = 0

Answer:

1 and -1

Step-by-step explanation:

The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.  

Answer:

-7 and 1.

Step-by-step explanation:

either a + 3 = 4 or a + 3 = -4

So a = 1 and a = -7.

Answer:

8 months

Step-by-step explanation:

You: $20 + 15.50 per month     I       Your friend: $88 + 7

First month: 35.50                     I        First month: 95.00

Second month: 51.00                I        Second month: 102.00

Third month: 66.50                   I        Third month: 109.00

Fourth month: 82.00                I         Fourth month: 116.00

Fifth month: 97.50                    I         Fifth month: 123.00

Sixth month: 113.00                  I        Sixth month: 130.00

Seventh month: 128.50           I        Seventh month: 137.00

Eighth month: 114.00             I         Eighth month: 114.00

Octavia has 38 lei. Octavia has a sum of money. If he were to buy 4 books and still have 6 lei left, and if he were to buy 7 books of the same kind, he would still need 18 lei.

Let's assume Octavia has x lei.

According to the given information:

If Octavia buys 4 books and still has 6 lei left, it means the cost of 4 books is x - 6 lei.

If Octavia buys 7 books of the same kind and still needs 18 lei, it means the cost of 7 books is x + 18 lei.

Now, let's set up an equation based on the above information:

x - 6 = cost of 4 books

x + 18 = cost of 7 books

We can find the cost of one book by dividing the cost of 4 books by 4:

cost of one book = (x - 6) / 4

Since the cost of 7 books is x + 18, the cost of one book can also be calculated by dividing the cost of 7 books by 7:

cost of one book = (x + 18) / 7

Now we can equate the two expressions for the cost of one book:

(x - 6) / 4 = (x + 18) / 7

To solve this equation, we can cross-multiply:

7(x - 6) = 4(x + 18)

Simplifying further:

7x - 42 = 4x + 72

Bringing like terms to one side:

7x - 4x = 72 + 42

3x = 114

Dividing both sides by 3:

x = 38

Therefore, Octavia has 38 lei.

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The complete question is:

Octavia has a sum of money. If he were to buy 4 books and still have 6 lei left, and if he were to buy 7 books of the same kind, he would still need 18 lei. How many lei does Octavia have?

The correct answer is b. A normal probability distribution is a continuous probability distribution, which means that it can take on any value within a given range.

This type of distribution is often used to model real-world phenomena that are measured on a continuous scale, such as height or weight. Unlike discrete probability distributions, which have a finite number of possible outcomes, a continuous distribution has an infinite number of possible outcomes. It's important to note that while a normal distribution is continuous, not all continuous distributions are normal. A normal distribution has a specific bell-shaped curve that is defined by its mean and standard deviation, and it is often used in statistical analysis to make predictions about the likelihood of certain events occurring within a given population. In summary, a normal probability distribution is a type of continuous probability distribution that is often used to model real-world phenomena. While it has a specific shape and can be described by its mean and standard deviation, it is not always the best model for every situation.

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Answer:

2.8 lollipops

Step-by-step explanation:

In 5 hours = 14 lollipops

In 1 hour = 14/5 lollipops = 2.8 lollipops

Answer:

The hourly rate is 2.8

Step-by-step explanation:

Sam eats 14 lollipops over 5 hours.

Now,

14/5 = 2.8

Thus, The hourly rate is 2.8

-TheUnknownScientist 72

Answer:

A

Step-by-step explanation:

Because 25 divide 25 equals 1

And then you divide 75 by 25 and that will get you 3

Hope that helps :)

Answer:

\( \frac{25}{75} = \frac{1}{k} \\ \frac{1}{3} = \frac{1}{k} \\ \boxed{k = 3}\)

The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

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Answer:

AAS Congruence Theorem

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

672

Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer

Given

Solution

Step 1

Subtract C from both sides

Step 2

Divide both sides by 7

The final answer

Answer:

a) 2/5

b) 1/10

Step-by-step explanation:

There are 20 people total.

a is that the chosen child is a girl.

2 + 6 = 8, --> there are 8 girls --> simplify

8/20 = 4/10 = 2/5

b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10

And thus, we have our answers.

Answer:

A) 2/5

B) 1/10

Step-by-step explanation:

A) Total Girls = 8

Total Children = 19

Probability = \(\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}\)

Probability = 8/20 = 4/10 = 2/5

B) Left-handed girls = 2

Total left handed children = 20

=> Probability = \(\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}\)

=> Probability = 1/10

Answer:

I think it's great.

Good job!

Existence and uniqueness of solutions are guaranteed for all of the given initial value problems.

1. dy/dx = 2x^2y^2: y(1) = -1

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (1, -1), the function f(x, y) = 2x^2y^2 is continuous and the partial derivative ∂f/∂y is also continuous.

2. dy/dx = x ln y: y(1) = 1

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (1, 1), the function f(x, y) = x ln y is continuous and the partial derivative ∂f/∂y is also continuous.

3. dy/dx = cubicroot y: y(0) = 1

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (0, 1), the function f(x, y) = cubicroot y is continuous and the partial derivative ∂f/∂y is also continuous.

4. dy/dx = cubicroot y: y(0) = 0

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (0, 0), the function f(x, y) = cubicroot y is continuous and the partial derivative ∂f/∂y is also continuous.

5. dy/dx = Squareroot x- y: y(1) = 2

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (1, 2), the function f(x, y) = Squareroot x - y is continuous and the partial derivative ∂f/∂y is also continuous.

6. dy/dx = Squareroot x - y: y(2) = 2

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (2, 2), the function f(x, y) = Squarroot x - y is continuous and the partial derivative ∂f/∂y is also continuous.

7. dy/dx = Squareroot x - y: y(2) = 1

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (2, 1), the function f(x, y) = Squareroot x - y is continuous and the partial derivative ∂f/∂y is also continuous.

8. y dy/dx = x - 1: y(0) = 1

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (0, 1), the function f(x, y) = x - 1 is continuous and the partial derivative ∂f/∂y is also continuous.

9. y dy/dx = x - 1: y(1) = 0

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (1, 0), the function f(x, y) = x - 1 is continuous and the partial derivative ∂f/∂y is also continuous.

10. dy/dx = ln(1 + y^2): y(0) = 0

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (0, 0), the function f(x, y) = ln(1 + y^2) is continuous and the partial derivative ∂f/∂y is also continuous.

11. dy/dx = x^2 - y^2: y(0) = 1

Existence and uniqueness of a solution is guaranteed by Theorem I. At the point (x, y) = (0, 1), the function f(x, y) = x^2 - y^2 is continuous and the partial derivative ∂f/∂y is also continuous.

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Answer:

Distributive Property

Step-by-step explanation:

You can distribute the 5 to the 6 and 9 in the parenthesis.

Answer:

distributive

is the letter A

9514 1404 393

Answer:

  (c)  1

Step-by-step explanation:

To find f(-2), locate -2 in the x column. Then find the corresponding f(x) value.

 -2 is in the second row, opposite f(x) = 1, so f(-2) = 1.

Answer: c

Step-by-step explanation:

Answer:

4 cm by 24 cm: Yes

6 cm by 22 cm: No

8 cm by 12 cm: Yes

24 cm by 8 cm: No

32 by 6 cm: No

Step-by-step explanation:

Step 1: Find the area of the triangle.

Step 2: Go through each dimensions of the rectangles.

Therefore, the options "it is usually shown on the horizontal axis of a scatter diagram" and "it is usually shown on the vertical axis of a scatter diagram" could both be true, depending on the preference of the researcher or the convention used in a particular field or context.

Neither of the variables is considered as the dependent variable in a correlation analysis. Correlation refers to the strength of the relationship between two variables, without implying a cause-and-effect relationship or assigning one variable as the independent or dependent variable. Therefore, the options "in a cause and effect relationship, it is the effect" and "in a cause and effect relationship, it is the cause" are not applicable.

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The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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If you are buying 5 pounds of candy corn, to make the average cost of the mixture $0.95 per pound, you need to buy 6.67 pounds of licorice.

This is a weighted average problem.

Let:

p = cost of product A

x = number of product A

q = cost of product B

y = number of product B

Then,

cost of mixture of A and B = (p.x + q.y) / (x + y)

Let A = candy corn, B = licorice

Parameters given:

p = $0.75 per pound

x = 5 pound

q = $1.10 per pound

cost of the mixture =$0.95 per pound

Hence,

0.95 = (0.75 . 5 + 1.1 . y) / (5 + y)

4.75 +0.95 y = 3.75 + 1.1 y

0.15 y = 1

y = 6.67 pound

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Answer:

x = \(\sqrt{26}\)

Step-by-step explanation:

using pythagoras theorem

here \(\sqrt{13}\) and \(\sqrt{13}\) are the legs of the right angled triangle and x is hypotenuse.

a^2 + b^2 = c^2

\((\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2\)

13 + 13 = x^2

26 = x^2

\(\sqrt{26}\) = x

Answer:

answer would be c

Step-by-step explanation:

hope this helps

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:

First off, the first question 17 gives you all of your info, the equation of slope-intercept form is y=mx+b when m is the slope and b is the y-intercept. So 17's slope is 6, and the y-intercept is -8.

Question 18:

This one is as simple as the first, but a bit more challenging. You have to do the addition property of equality by adding 5 to both sides to get everything in one place. The equation should look like 5x-y+5

Then you can add y to both sides of the current equation to get everything in the y=mx+b format. After adding y, it should look like 5x+5=y

Looks familiar?

Its the same equation in mx+b except y is on the right side. Does that matter? Nope.

The equation can be rearranged as y=5x+5

So the slope would be m, and the y-intercept should be b.

The answer is right here and I will leave you to figure them out.

18's equation is y=5x+5 and slope intercept form is y=mx+b when m is the slope and b is the y-intercept.

Step-by-step explanation:

Answer:

17.

Slope = 6

y intercept = negative 8

18.

Slope = 5

y intercept =5

Step-by-step explanation:

The equation for slope is y= mx + b.

y is just a number.

m represents the slope.

x is also just a number, don't worry about x and y.

b is the y intercept.

Take 17.

y = 6x - 8

6 would be your slope and negative 8 would be the y intercept.

Because there is a minus sign, this means 8 is a negative.

So the slope is 6 and the y intercept is negative 8

----------------------------------------------------------------------------------------------------------

18 is just the slope equation, but in a different form.

1. Add y to both sides

2. add 5 to both sides.

Our equation is now y = 5x + 5.

The slope is 5 and so is the y intercept

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Answer:

[4  -11   1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

Step-by-step explanation:

This is Finite Math, I got this hehe :)

To find the answer, first you need to understand what R means.

It stands for "row". So R1 means "Row 1".

So: -3R1 + R3 means that you need to multiply -3 by all of the numbers in row 1 and then add all of the numbers in row 3

[0   3   1   -1   l  6]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4  1    5   3   l   7]

Then use ^^THAT^^ and apply the next set of instructions.

-4R1 + R4 means that you multiply -4 by all of the numbers in row 1 and then add all of the numbers in row 4:

[4  -11    1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

To be sure that at least three of the cards have the same face value, you would need to pick 3 cards. This is because the lowest number of cards with the same face value that can be achieved is 3, so if you pick 3 cards, you will guarantee that at least 3 of them have the same face value.

To be sure that at least four of the cards are diamonds, you would need to pick 5 cards. This is because the other 3 suits (clubs, hearts and spades) each have 13 cards, so if you pick 5 cards, you would have at least 4 cards of one suit (diamonds). To be sure that at least three of the cards have the same face value, you would need to pick 3 cards. This is because the lowest number of cards with the same face value that can be achieved is 3, so if you pick 3 cards, you will guarantee that at least 3 of them have the same face value.

At least four of them are diamonds: 5 cards

At least three of them are have the same face value: 3 cards

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