find the probability of the indicated event if ​P(E)=.20 and ​P(F)=.45.
Find​ P(E and​ F) if​ P(E or ​F)=.45

Answer:39

Step-by-step explanation:

If you add 28+11 you get 39 making 39-11=28

Answer:

x = 24

Step-by-step explanation:

Step 1:

5x -3 + 2x + 15 = 180

Step 2:

7x + 12 = 180

Step 3:

7x = 168

Answer:

x = 24

Hope This Helps :)

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

In this problem, r = 2/3. The division is:

Using the KFC rule:

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

what does it mean?

?????????????????????????

Answer:

\(-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y + \pi - \frac{1}{2}\)

Step-by-step explanation:

Given the initial value problem \(\frac{1}{\theta}(\frac{dy}{d\theta} ) =\frac{ ysin\theta}{y^{2}+1 } \\\) subject to y(π) = 1. To solve this we will use the variable separable method.

Step 1: Separate the variables;

\(\frac{1}{\theta}(\frac{dy}{d\theta} ) =\frac{ ysin\theta}{y^{2}+1 } \\\frac{1}{\theta}(\frac{dy}{sin\theta d\theta} ) =\frac{ y}{y^{2}+1 } \\\frac{1}{\theta}(\frac{1}{sin\theta d\theta} ) = \frac{ y}{dy(y^{2}+1 )} \\\\\theta sin\theta d\theta = \frac{ (y^{2}+1)dy}{y} \\integrating\ both \ sides\\\int\limits \theta sin\theta d\theta =\int\limits \frac{ (y^{2}+1)dy}{y} \\-\theta cos\theta - \int\limits (-cos\theta)d\theta = \int\limits ydy + \int\limits \frac{dy}{y}\)

\(-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y +C\\Given \ the\ condition\ y(\pi ) = 1\\-\pi cos\pi +sin\pi = \frac{1^{2} }{2} + ln 1 +C\\\\\pi + 0 = \frac{1}{2}+ C \\C = \pi - \frac{1}{2}\)

The solution to the initial value problem will be;

\(-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y + \pi - \frac{1}{2}\)

Using separation of variables, it is found that the solution of the initial value problem is:

The differential equation is given by:

\(\frac{1}{\theta}\left(\frac{dy}{d\theta}\right) = \frac{y\sin{\theta}}{y^2 + 1}\)

Applying separation of variables, we have that:

\(\frac{y^2 + 1}{y}dy = \theta\sin{\theta}d\theta\)

\(\int \frac{y^2 + 1}{y}dy = \int \theta\sin{\theta}d\theta\)

The first integral is solved applying the properties, as follows:

\(\int \frac{y^2 + 1}{y}dy = \int y dy + \int \frac{1}{y} dy = \frac{y^2}{2} + \ln{y} + K\)

The second integral is solved using integration by parts, as follows:

\(u = \theta, du = d\theta\)

\(v = \int \sin{\theta}d\theta = -\cos{\theta}\)

Then:

\(\int \theta\sin{\theta}d\theta = uv - \int v du\)

\(\int \theta\sin{\theta}d\theta = -\theta\cos{\theta} + \int \cos{\theta}d\theta\)

\(\int \theta\sin{\theta}d\theta = -\theta\cos{\theta} + \sin{\theta}\)

Then:

\(\frac{y^2}{2} + \ln{y} + K = -\theta\cos{\theta} + \sin{\theta}\)

\(y(\pi) = 1\) means that when \(\theta = \pi, y = 1\), which is used to find K.

\(\frac{1}{2} + \ln{1} + K = -\pi\cos{\pi} + \sin{\pi}\)

\(\frac{1}{2} + K = \pi\)

\(K = \pi - \frac{1}{2}\)

Then, the solution is:

\(\frac{y^2}{2} + \ln{y} + \pi - \frac{1}{2} = -\theta\cos{\theta} + \sin{\theta}\)

\(\frac{y^2}{2} + \ln{y} + \pi - \frac{1}{2} + \theta\cos{\theta} - \sin{\theta} = 0\)

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Answer:

Step-by-step explanation:

y = -2x + 1

y = x + 4

2x + y = 1 _______(1)

-x + y = 4_______(2)

\( - x + y - (2x + y) = 4 - 1 \\ - x + y - 2x - y = 3 \\ - 3x = 3 \\ x = \frac{3}{ - 3} \\ x = - (1) \\ \)

x = (-1),

\(2x + y = 1 \\ 2( - 1) + y = 1 \\ - 2 + y = 1 \\ y = 1 + 2 \\ y = 3 \\ \)

Answer:

-2×h

Step-by-step explanation:

because it drops-2 by hour so multiply-2 by the difference of hours

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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A perceiving type of person tend to make more use of intuition in their approach of life.

The word "Perceive" means to become aware of through the personal senses.

Therefore, they perceive situation automatically as they are use to that way of life approach.

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Answer:

angle 4 is equalivent to B.) 39°

we are told that f(x) = -2. This expression does not depend on x. So, for whaterver value you put, the value of the function is -2. An example of the table of values would be

x f(x)

1 -2

2 -2

3 -2

4 -2

5 -2

The graph of this function would look like this

Answer:

3.7

Step-by-step explanation:

You have to divide

Answer:

i do not know tbh .

Step-by-step explanation:

In the order provided in the question, X is a discrete random variable, Y is not a random variable, U is a discrete random variable, X is a continuous random variable, Z is a continuous random variable, Y is a continuous random variable, X is a continuous random variable, and X is a discrete random variable.

• X = the number of unbroken eggs in a randomly chosen standard egg carton The possible values for X are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, as an egg carton can have anywhere between 0 and 12 unbroken eggs. X is a discrete random variable since it takes on a finite number of possible values.

• Y = 5 the number of students on a class list for a particular course who are absent on the first day of classes The only possible value for Y is 5, so it is not a random variable.

• U = 5 the number of times a duffer has to swing at a golf ball before hitting it The possible values for U are all positive integers starting from 5. U is a discrete random variable since it takes on a countable number of possible values.

• X = 5 the length of a randomly selected rattlesnake. The possible values for X are all positive real numbers. X is a continuous random variable since it can take on any value within a range of values.

• Z = 5 the sales tax percentage for a randomly selected amazon.com purchase The possible values for Z are all percentages between 0% and 100%, including decimal values. Z is a continuous random variable since it can take on any value within a range of values.

• Y = 5 the pH of a randomly chosen soil sample. The possible values for Y are all positive real numbers. Y is a continuous random variable since it can take on any value within a range of values.

• X = 5 the tension (psi) at which a randomly selected tennis racket has been strung. The possible values for X are all positive real numbers. X is a continuous random variable since it can take on any value within a range of values.

• X = 5 the total number of times three tennis players must spin their rackets to obtain something other than UUU or DDD (to determine which two play next) The possible values for X are 1, 2, 3, and so on, since the players can keep spinning the rackets indefinitely. X is a discrete random variable since it takes on a countable number of possible values.

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Answer:

So ur answer would be

-19 x^2+ 9xy- 11 y^2

The line is a vertical line, then the correct option is D, the slope is undefined.

A general linear equation can be written as:

y = a*x + b

Where a is the slope, b is the y-intercept, and x is the variable.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by the formula:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the two points are (2, -4) and (2, 4)

Replacing that we would have a problem, that is because we have the same x-value in both points.

Then we have a vertical line at x = 2.

That line has no defined slope, thus, the correct option is D.

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Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

An equation that produces a set of ordered pairs defines a function, but it needs to be a proper function!

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. Which means that answer C is correct.

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

ODY 2022

Answer:

Step-by-step explanation:

10m^2 + 6mx - 11x^2 - 2m^2 + 4mx + 4x^2

-7x^2 + 10mx + 8m^2

quadratic equation

x = - 4m/7

x = 2m

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

we always take the possitive value

x = 2m or m = x/2

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.

Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:

= 72 × x^(10 + 2)

= 72x^12.

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The exact value of n is 4.4

Ratio is defines the relationship between two quantities such as a:b, where b is not equal to 0.The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’

According to the question,

Ajay and Belinda plan to share some money in the ratio 1: 4

Let Ajay got total of x

and Belinda got 4x

Total money will be then x + 4x = 5x

Belinda finds that changing the ratio to 1:n would result in her share increasing by 10%

10% of 4x = 4x + 10×4x/100

= 4x + 4x/10

= 4x + 2x /5

=4.4 x

To get 10% more share n should be 4.4

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Answer:

1:3

Step-by-step explanation:

I think this is correct but I advise looking it up :)

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Option A is the correct answer.

We have,

The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.

Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.

And,

The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.

Therefore,

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

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Based on the information given, there are a total of 118 solutions.

This is a problem of solving a Diophantine equation subject to some conditions. Let's introduce a new variable y4 = 20 - (x1 + x2 + x3 + x4). Then the problem can be restated as finding the number of solutions to:

x1 + x2 + x3 + y4 = 20

Subject to the following conditions:

0 ≤ x1 < 3

0 ≤ x2 < 4

0 ≤ x3 < 5

0 ≤ y4 < 6

We can solve this problem using the technique of generating functions. The generating function for each variable is:

(1 + x + x^2) for x1

(1 + x + x^2 + x^3) for x2

(1 + x + x^2 + x^3 + x^4) for x3

(1 + x + x^2 + x^3 + x^4 + x^5) for y4

The generating function for the equation is the product of the generating functions for each variable:

(1 + x + x^2)^3 (1 + x + x^2 + x^3 + x^4 + x^5)

We need to find the coefficient of x^20 in this generating function. We can use a computer algebra system or a spreadsheet program to expand the product and extract the coefficient. The result is: 1118

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Answer: This problem involves finding the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints. We can use the stars and bars method to solve this problem.

Suppose we have 20 stars representing the sum x₁ + x₂ + x3 + x₁. To separate these stars into four groups corresponding to x₁, x₂, x₃, and x₄, we need to place three bars. For example, if we have 20 stars and 3 bars arranged as follows:

**|**||

then the corresponding values of x₁, x₂, x₃, and x₄ are 2, 4, 6, and 8, respectively. Notice that the position of the bars determines the values of x₁, x₂, x₃, and x₄.

In general, the number of ways to place k identical objects (stars) into n distinct groups (corresponding to x₁, x₂, ..., xₙ-₁) using n-1 separators (bars) is given by the binomial coefficient (k+n-1) choose (n-1), which is denoted by C(k+n-1, n-1).

Thus, the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints is:

C(20+4-1, 4-1) = C(23, 3) = 1771

However, this count includes solutions that violate the upper bounds on x₁, x₂, x₃, and x₄. To eliminate these solutions, we need to use the principle of inclusion-exclusion.

Let Aᵢ be the set of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints, where xᵢ ≥ mᵢ for some integer mᵢ. Then, we want to find the cardinality of the set:

A = A₀ ∩ A₁ ∩ A₂ ∩ A₃

where A₀ is the set of all non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20, and Aᵢ is the set of solutions that violate the upper bound on xᵢ.

To find the cardinality of A₀, we use the formula above and obtain:

C(20+4-1, 4-1) = 1771

To find the cardinality of Aᵢ, we subtract the number of solutions that violate the upper bound on xᵢ from the total count. For example, to find the cardinality of A₁, we subtract the number of solutions where x₂ ≥ 4 from the total count. To count the number of solutions where x₂ ≥ 4, we fix x₂ = 4 and then count the number of solutions to the equation x₁ + 4 + x₃ + x₄ = 20 subject to the constraints 0 ≤ x₁ < 3, 0 ≤ x₃ < 5, and 0 ≤ x₄ < 6. This count is given by:

C(20-4+3-1, 3-1) = C(18, 2) = 153

Similarly, we can find the cardinalities of A₂ and A₃ by fixing x₃ = 5 and x₄ = 6, respectively. Using the principle of inclusion-exclusion, we obtain:

|A| = |A₀| - |A

Step-by-step explanation:

Answer:

x = -5, -1

General Formulas and Concepts:

Step-by-step explanation:

The question is asking us to find the y-values when f(x) = -2.

According to the graph, when f(x), or y, = -2, x has 2 points: -5 and -1.

Therefore, f(-5) = -2 and f(-1) = -2.

Answer:

The volume of the whole figure is:
8,847 ft^3 + 26,542 ft^3 =  35,389 cubic feet

Step-by-step explanation:

The volume of the rectangle lower part is :
38.4ft*24ft * 28.8ft =26,542.08 cubic foot

to the nearest  whole number 26,542 cubic feet

The area of the right  side of the triangle face on the top is  (Base * height) / 2 :
(19.2ft * (38.4ft /2) / 2   =184.32 square feet

As both side of that triangle on top have the same length of hypothenuse. The area of the whole triangle face:
184.32 *2 = 368.64 square feet

The volume of the triangle top:
368.64 ft^2 * 24ft = 8,847.36 cubic feet .

To the nearest whole number 8847 cubic feet

The volume of the whole figure is:
8,847 ft^3+26,542 ft^3 =  35,389 cubic feet

Using the normal approximation to the binomial, it is found that there is a 0.0041 = 0.41% probability that at most 10 of them married their first love.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

For the approximation, the mean and the standard deviation are given by:

\(\mu = np = 50(0.4) = 20\)

\(\sigma = \sqrt{np(1-p)} = \sqrt{50(0.4)(0.6)} = 3.4641\)

Using continuity correction, the probability that at most 10 of them married their first love is \(P(X \leq 10 + 0.5) = P(X \leq 10.5)\), which is the p-value of Z when X = 10.5.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{10.5 - 20}{3.4641}\)

\(Z = -2.74\)

\(Z = -2.74\) has a p-value of 0.0041.

0.0041 = 0.41% probability that at most 10 of them married their first love.

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Answer:

Step-by-step explanation:

Spent: $2.29 + $1.99 = $4.28

$19.76 - $4.28 = $15.48

Answer:

Trey has $15.48 left in his wallet

Step-by-step explanation:

$19.76-$2.29=$17.47

$17.47-$1.99=$15.48

I hope my answer was helpful and acuritate. Have a great rest of your day!