What is the equation of this line?
y= −3/2x

y= −2/3x

y= 3/2x

y= 2/3x
Plz Help my grade depends on this

The probability that the flight will not be delayed is 0.79.

If the probability that a flight will be delayed is 0.21, then the probability that it will not be delayed must be:

Understand that the total probability of an event is always 1. In this case, there are only two possible outcomes: the flight is delayed, or it is not delayed.
Subtract the probability of the flight being delayed (0.21) from the total probability (1).

1 - 0.21 = 0.79

The probability that the flight will not be delayed is 0.79.

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As per the borrowed amount, the value of IRR is 6.40%

The term IRR is the internal rate of return is a metric used in financial analysis to estimate the profitability of potential investments.

Here we have know that Maggie green just borrowed $5,000. she is planning to pay it back in 5 equal installments of $1,200.

Now, we have to calculate the value of IRR,

The general form of the IRR formula is written as,

=> NPV = \(\sum\limits^T_{t=1} {\frac{C_t}{(1+r)^t} }\ -C_0\)

where r is the discount rate / interest rate and T is the number of cash flow periods with t denoting a specific period, C0 is the initial investment while Ct is the return during period t.

Here we apply the values on it, then we get,

=> \(NPV = \sum\limits^5_{t=1} {\frac{1200_t}{(1+r)^t} }\ -5000\)

When we simplify this one then we get,

=> Internal Rate of Return = 6.402%

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The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

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Answer:

The balloon contain 65416.6 cubic feet.

Answer:

65,417 cubic feet

Step-by-step explanation:

Volume of a sphere ≈ 4/3 × 3.14 × (radius)^3

It is a point hope it helps you

Answer:

someone said it's a point but it's actually a line segment

An "event" is an outcome of a population that has some probability of being selected.

In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.

For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.

Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.

In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.

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An "outcome" is an outcome of a population that has some probability of being selected.

An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.

When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.

In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.

For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.

In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.

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Answer:

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.

This means that

What is the probability that washing dishes tonight will take me between 14 and 15 minutes?

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

Answer:

-2

Step-by-step explanation:

we use the y2-y1/x2-x1 fomrula to find slope

14-8/7-10

6/-3

-2 is the slope

hopes this helps

We know that the sum of all the interior angles of the polygon with sides n is (n - 2)*180.

It is given in the question that,

Sum of all the interior angles of the polygon is 800.

Hence, according to the data given in the question, we can write,

(n - 2)*180 = 800

n - 2 = 800/180

n - 2 = 40/9

n = 40/9 + 2

n = 58/9 = 6.44

As number of sides should always be in integer form, it is not possible to have the sum of all the interior angles of the polygon to be 800 degrees.

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Answer:

8x4

Step-by-step explanation:

i got you

big brain

Answer:

8x(8)

Step-by-step explanation:

Answer:

Trapezoid = 24 grams

Step-by-step explanation:

Trapezoid = 3 triangles

x = 3 · 8

x = 24

A logic statement is a statement or proposition that is either true or false

The option that gives the correct converse statement is option C)

C) if two angles are not congruent angles, then they cannot both be 25 degrees

The reason why the above option is correct is given as follows;

A converse statement is a statement formed by switching the positions of the conclusion and the hypothesis

In the given statements, the hypothesis is the explanation given when the evidence available is limited, which is the relationship between the angles, while the conclusion is what can be made out of the angles, that is their condition of congruency

Therefore, the converse statement is; if two angles are not congruent angles, then they cannot both be 25 degrees

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The system of equation to represents the relation between cakes and pie is given by 6x + 15y = 99 , x + y = 9.

The number of cakes sold is equal to 4.

Let x be the number of cakes sold

And y be the number of pies sold.

A cake costs $6

A pie costs $15,

Total revenue from selling x cakes and y pies is given by,

6x + 15y = total revenue

In one day the store sold 9 baked goods for a total of $99,

x + y = 9

System of equations in two variables,

6x + 15y = total revenue

x + y = 9

To solve for x, we can use substitution.

Solving the second equation for y, we get,

y = 9 - x

Substituting  into first equation, we get,

⇒6x + 15(9 - x) = 99

Simplifying and solving for x, we get,

⇒6x + 135 - 15x = 99

⇒-9x = -36

⇒x = 4

The store sold 4 cakes.

Number of pies sold,

x + y = 9

Substituting x = 4,

⇒4 + y = 9

⇒y = 5

store sold 5 pies

Therefore, from the system of equations 6x + 15y = 99, x + y = 9 the store sold 4cakes and5 pies.

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The value of the given expression using PEDMAS is -19.

A set of guidelines called the order of operations establishes the sequence in which mathematical operations must be carried out. The following is the order: The acronym PEMDAS or PEDMAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). In order to guarantee that numerical methods are examined correctly and consistently, it is crucial to adhere to the sequence of operations. Even without order of operations, mathematical expressions could be unclear and confusing, which could result in various outcomes depending on how the statement is understood.

The given expression is:

x/y + x - (y + 3)²

Substitute the value of x = 4 and y = 2.

4/2 + 4 - (2 + 3)²

First solve the calculations inside the parentheses:

4/2 + 4 - (5)²

Solve the exponents:

4/2 + 4 - 25

Solve the division:

2 + 4 - 25

Finally perform the addition and then subtraction:

6 - 25 = -19

Hence, the value of the given expression in simplified form is -19.

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The answer is x = 139.38 degrees.

To solve for x in the equation 3 tan(x+25)=-0.8391, we need to first isolate the tangent function on one side of the equation. To do this, we can divide both sides by 3, which gives us tan(x+25) = -0.2797.
Next, we need to find the angle whose tangent is equal to -0.2797. We can use a calculator or a trigonometric table to find the reference angle, which is approximately 15.62 degrees. However, we need to adjust for the fact that the tangent function is negative in the second and fourth quadrants of the unit circle.
Since we have tan(x+25) = -0.2797, and we know that the tangent function is negative in the second quadrant, we can subtract 180 degrees from the reference angle to get the actual angle in the second quadrant. This gives us x+25 = 164.38 degrees.
To solve for x, we can subtract 25 from both sides, which gives us x = 139.38 degrees. Therefore, x is approximately 139.38 degrees.
In conclusion, to find the value of x in the equation 3 tan (x+25) = -0.8391, we need to isolate the tangent function, find the reference angle whose tangent is equal to the resulting value, adjust for the sign of the tangent in the appropriate quadrant, and finally solve for x. The answer is x = 139.38 degrees.

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Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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a university student is selecting courses for his next semester. he can choose from humanities courses and science courses. the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

To determine the number of ways a university student can choose courses for the next semester with a requirement of at least "r" humanities courses, we can use combinatorial techniques.

Let's assume there are "n" total courses available, "h" of which are humanities courses, and "s" of which are science courses.

The student needs to select "r" or more humanities courses. We can calculate the number of ways to choose "r" or more humanities courses by summing the combinations for "r" to "h" humanities courses.

The formula to calculate the number of ways to choose "k" items from a set of "n" items is given by the combination formula: C(n, k) = n! / (k! * (n - k)!)

Using this formula, the calculation for the number of ways to choose "r" or more humanities courses can be expressed as:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

Now, let's substitute the values and calculate the number of ways:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

In conclusion, the number of ways the university student can choose courses, with a requirement of at least "r" humanities courses, is obtained by summing the combinations for "r" to "h" humanities courses using the combination formula.

the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

7662247+20728678=28290925+33807580=620985505

Given:

x = 6

The value for y isn't given, it can also mean that there is no value of y, therefore, we can presume that the value of y is equal to 0.

Therefore, we can say that the x-intercept which is the x value, is equal to 6 and the y-intercept is 0.

The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

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For now, we'll look at the two people who have to set next to each other as one person. So, there are nine people who are sitting in a row. These nine people can sit together in a total of 9! ways.

However, there are two ways for those two people to sit next to each other.

So, the correct answer is 2!*9!, or 725760.

hopefully this is correct :)

(this is assuming that front to back vs back to front are two different things)

If we simplify the exponential equation, we can see that:

Future Amount =  464.6 algae.

Here we want to solve the exponential equation:

Future Amount = 46*(1 + 0.28)¹⁰

Now we can simplify the second factor to get:

Future Amount = 46*(1.28)¹⁰

Now we will get:

Future Amount = 46*(1.28)¹⁰ = 46*10.1 = 464.6

That is the future amount of algae.

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The number of algae after 30 days would be = 129 algae (to the nearest whole number).

The total amount of algae in the beginning of the experiment = 46 algae.

The percentage increase for every 3 days = 28%

That is;

= 28/100 × 46/1

= 1288/100

= 12.88 algae.

If in every 3 days the algae increases by = 12.88

30 days would be = X

Make X the subject of formula;

X = 30×12.88/3

= 386.4/3

= 128.8

Therefore the number of algae after 30 days would be = 129 algae (to the nearest whole number).

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The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

If the average value of the function f on the interval 1 < x < 4 is 8,  the value of so (3f(x) + 2x) dx is 15. None of the given options (A, B, C, D) is correct.

To find the value of ∫(3f(x) + 2x) dx over the interval 1 < x < 4, we need to use the given information that the average value of the function f on this interval is 8.

The average value of a function f(x) over the interval [a, b] is given by:

Avg(f) = (1 / (b - a)) * ∫[a, b] f(x) dx

In this case, the average value of f on the interval 1 < x < 4 is 8. So we have:

8 = (1 / (4 - 1)) * ∫[1, 4] f(x) dx

8 = (1 / 3) * ∫[1, 4] f(x) dx

Multiplying both sides by 3, we get:

24 = ∫[1, 4] f(x) dx

Now, we can substitute this value into the integral we want to evaluate:

∫(3f(x) + 2x) dx = ∫3f(x) dx + ∫2x dx

Since we know that ∫3f(x) dx over the interval 1 < x < 4 is equal to 24, and the integral of 2x dx is x², we can calculate:

∫(3f(x) + 2x) dx = ∫3f(x) dx + ∫2x dx

= 24 + x²

To find the value of the integral over the interval 1 < x < 4, we evaluate the expression at x = 4 and subtract the value at x = 1:

∫(3f(x) + 2x) dx = 24 + (4)² - (24 + (1)²)

= 24 + 16 - 24 - 1

= 15

Therefore, the value of ∫(3f(x) + 2x) dx over the interval 1 < x < 4 is 15.

None of the given options (A, B, C, D) match the calculated value of 15.

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Answer:

Mean: 7

Median: 8

Range: 9

Mode: 3

Step-by-step explanation:

First, to find the mean of a set of numbers you need to add up all of the numbers and divide that by the total amount of numbers. In this case that makes this equation, \(\frac{3+3+4+8+9+10+12}{7}\), which is \(\frac{49}{7}\), which is 7.

To find a median you need to find the middle number. A handy trick I use for this is to place my fingers on the first and last number, and then move them towards the middle, at the same time by one number until there is just one number left in the middle. If there are no numbers left after doing this, meaning there are an even amount of numbers given, the median is the mean of the last two numbers that were covered. In this case, this is not necessary, so the median is 8.

The range is the difference between the maximum and minimum of a data set. In this case that would give you the equation Range=12-3, which means the range is 9.

Finally, the mode is the number that occurs the most in a given data set. In this case the number that occurs the most is 3, which occurs twice compared to every other number which only occurs once.

Hey there!

‘‘Find the mean median range and mode for 3, 3, 4, 8, 9, 10, and 12’’

• Mean is known as your AVERAGE number. You have to ADD all of your NUMBERS the DIVIDE it by the TOTAL numbers in your given set

• We have the total of SEVEN numbers in your set

“3 + 3 + 4 + 8 + 9 + 10 + 12 / 7”

6 + 4 + 8 + 9 + 10 + 12/7

10 + 8 + 9 + 10 + 12/7

18 + 9 + 10 + 12/7

27 + 10 + 12/

37 + 12/7

49/7 = 7

Answer: Mean = 7 ✔️

• Median is the number you see in the center (the middle) of the problem. You can solve for this by putting your numbers from least to greatest

• If you have an ODD number in your given set then your middle number will be the single number)

• If you have an EVEN number then you have to average your TWO middle number

“ 3, 3, 4, 8, 9, 10, 12”

• you still have 3 on both sides of your 8 (3 is an ODD number, so we have to let it be be a single number)

Answer: mean = 8 ✔️

• Mode is your number than you see repeated OR more than once

• We “3” repeated so it is your Mode

Answer: Mode = 3 ✔️

Answers ⬇️

• Mean: 7 ☑️

• Median: 8 ☑️

• Mode: 3 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

I've attached the answer below.

Step-by-step explanation:

did it tell you what x and y equal

The solution of the system of equation are,

x = 1/3 and y = 0

We have to given that;

System of equations are,

3x - 4y = 11

y + 3x = 1

From (ii);

y = 1 - 3x

Put above value in (i);

3x - 4 (1 - 3x) = 1

3x - 4 + 12x = 1

15x = 5

x = 1/3

From (i);

y + 3 (1/3) = 1

y + 1 = 1

y = 0

Thus, The solution of the system of equation are,

x = 1/3 and y = 0

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The solution to the system of equations is x = 1 and y = -2.

We have,

3x - 4y = 11

y + 3x = 1

To solve the system of equations:

3x - 4y = 11

y + 3x = 1

We can use the method of substitution or elimination.

Let's solve it using the elimination method.

Multiply equation 2) by -1 to eliminate the term 3x:

-1(y + 3x) = -1(1)

-y - 3x = -1

Now we have the following system of equations:

3x - 4y = 11

-y - 3x = -1

Add equation 1) and equation 2) together:

(3x - 4y) + (-y - 3x) = 11 + (-1)

3x - 4y - y - 3x = 10

-5y = 10

Divide both sides of the equation by -5:

-5y / -5 = 10 / -5

y = -2

Now substitute the value of y = -2 into equation 2):

-2 + 3x = 1

Add 2 to both sides:

3x = 3

Divide both sides by 3:

3x / 3 = 3 / 3

x = 1

Therefore,

The solution to the system of equations is x = 1 and y = -2.

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