If a game consists of picking a number from a bag of beans numbered 2, 2, 3, 4, and 5 and flipping a coin, which probabilities are equivalent?


I.
II.
III.
A. I and II
B. I and III
C. II and III
D. none of the above

The variable has a global scope and is related to mathematical expressions or equations for representing the unknown value.

In mathematics, the concept of scope is not directly applicable to variables in the same way it is in computer programming. In mathematics, variables typically have a global scope, meaning they are valid and accessible throughout the entire mathematical expression or equation in which they are defined.

Mathematical variables are used to represent unknown values or quantities, and their scope is typically determined by the mathematical expression or equation in which they are used. Variables in mathematics can be used within their defined context, such as an equation or formula, to represent specific values or relationships between quantities. They do not have the same localized scope as variables in programming, where their visibility is limited to specific parts of a program.

In summary, in mathematics, variables typically have a global scope, and their scope is determined by the mathematical expression or equation in which they are used.

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The slope or rate of change of a line passing through the two ordered pairs  (8,40) and (6, 30) is 5.

Therefore the answer is 5.

Slope of a graph is also called the rate of change of the dependable variable with respect to the independent variable.

The rate of change of a line connecting two points (x₁, y₁) and (x₂, y₂) can be obtained by

m = (y₂ - y₁)/ (x₂ - x₁)

Therefore the slope or rate of change of two ordered pairs (8,40) and (6, 30) can be obtained by

m = (40 - 30)/ (8 - 6)

m = 10/ 2

m = 5

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Answer:

wouldn't they both be 88

I'm not sure if that's correct though

Answer:

x = 88

y = 88

Step-by-step explanation:

66 + 26 + x = 180 (collect like terms)

92 + x = 180 (subtract 92 on both sides)

x = 88

y = x

y = 88

They are vertical so their measures are the same.

Hope this helps ya!!

Answer:

A, B, E, and F

Step-by-step explanation:

so it'd be 600 / 3 which gives you 200.00 that's what each person paid a day given that there's 5 five times 200 is one day 1000.00x 8 = ($8000.00) for 5 people for 8 days

Answer:

Below.

Step-by-step explanation:

x^-5

= x^-1 * x^-1 * x^-1 * x^-1 * x^-1

or we could write it as

1/x * 1/x * 1/x * 1/x * 1/x.

The type of sampling method in which a sample frame is divided into groups is called stratified sampling.

The sampling method that describes the division of a sample frame into groups is called cluster sampling. This method involves randomly selecting groups (or clusters) from the population and then selecting individuals within those clusters to be part of the sample. It is different from stratified sampling, which involves dividing the population into subgroups and then randomly selecting individuals from each subgroup, and simple random sampling, which involves randomly selecting individuals from the population without any grouping. Systematic sampling involves selecting every nth individual from a list of the population.

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Answer:

]-3,7[

Step-by-step explanation:

the domain is from -3 to 7

Answer:

 2 • (x2 + 5x + 73)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant

Step-2 : Find two factors of  73  whose sum equals the coefficient of the middle term, which is   5

Pulling out like terms/factors

Trying to factor by splitting the middle term

Answer: 2 • (x2 + 5x + 73)

Hope this helps.

Answer:

2x^2 + 10x + 146

Step-by-step explanation:

x^2 + 121 + (x+5)^2

x^2 +121 + (x+5)(x+5)

x^2 + 121 + x^2 + 5x + 5x + 25

2x^2 + 10x + 146

Answer:

the answer is A x = 3

Step-by-step explanation:

5x + 15 +2x = 24 + 4x

or, 5x + 2x - 4x = 24 - 15

or, 3x = 9

or, x = 9/3

x = 3

if it's helpful please Mark me as brainlest

Answer: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation

Juan has just completed a 15 kilometer race in 20 minutes.  What was his average speed in kilometers per hour?

Solution

First, 15 kilometers is a distance, so

       d  =  15

Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute.  We need to convert 20 minutes to hours.  Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took

t  =  20 minutes / 60 minutes per hour =  1/3 hours

Now we can use the d=rt equation:

15  =  (r)(1/3)

If we multiply both sides

(3)(5)  =  (r)(1/3)(3)  or  r  =  45

Juan's average speed was 45 kilometers per hour.

The value of the side x for the given similar triangle will be 12 units.

The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.

The area of a triangle is defined as (1/2) base height, and the sum of all three angles within a triangle will be 180°.

As per the given both triangle,

The one angle of both triangles is 90° and one angle is the common angle.

Since the two angles are the same thus the third angle will be the same thus by the AAA postulate both triangles will be similar.

By a similar triangle rule,

20/x = 25/(√(25² - 20²))

x = 20/25 (15)

x = 12

Hence "The value of side x will be 12 units by AAA postulate".

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Answer:

The answer is f(x) = -sin(x) as you can see in the graph below

Step-by-step explanation:

Answer:

x= -1

Step-by-step explanation:

you have five of the bigger pieces and 6 of the smaller pieces and you have to get to a one. I plugged in the awnser choices and one worked for me

To solve for q in OB) q-1875OD) q-1875, we need to add 1875 to both sides of the equation and simplify to isolate q. The solutions for q are 1875 and 1995, respectively.

To solve for q in OB) q-1875OD) q-1875, we need to isolate q on one side of the equation. In both cases, we can do this by adding 1875 to both sides of the equation.

For OB) q-1875, we can rewrite it as q-1875+1875=0+1875, which simplifies to q=1875. Therefore, the solution for q in this equation is 1875.

For OD) q-1875, we can rewrite it as q-1875+1875=120+1875, which simplifies to q=1995. Therefore, the solution for q in this equation is 1995.

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Answer:

57.8º

Step-by-step explanation:

According to the law of sines \(\frac{sinA}{a}\) = \(\frac{sinb}{b}\) = \(\frac{sinc}{c}\).

In this triangle we have two sides with two of their angles.

Let's make 8 cm side a with 38º as its angle, and 11 cm side b with x as its angle.

\(\frac{sinx}{11}\) = \(\frac{sin38}{8}\)

Now we multiply both sides by 11 to get rid of the denominator on the left.

sinx = \(\frac{11sin38}{8}\)

To find x, we use inverse sine.

x = sin⁻¹ (11sin38/8)

Plug this into a calculator, and you will get 57.837.

Round this to 57.8º

Hope this helps!

Answer: The range of the function is

Consider the provided information.

The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour.

Let plumber works for x hours, then the required linear function will be:

The plumber works a maximum of 8 hours per day.

That means the minimum value of x is 0 and maximum value of x is 8.

We need to find the range of the function.

Range of the function is the set of y values.

Substitute x=0 in above function,

Now substitute x=8 in above function.

Hence, the range of the function is

Answer: 40.8

Step-by-step explanation: :)

Answer:

-19

Step-by-step explanation:

There are 420 ways to select a committee of 4 people with at least 2 women.

To solve these problems, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

To select a committee of 4 people from a pool of 12 people, we can use the formula:

C(12, 4) = 12! / (4! * 8!) = 495

So there are 495 ways to select a committee of 4 people without any additional criteria.

To select a committee of 4 people with 2 men and 2 women, we can first count the number of ways to choose 2 men from the 5 men and 2 women from the 7 women. This gives us:

C(5, 2) * C(7, 2) = (5! / (2! * 3!)) * (7! / (2! * 5!)) = 10 * 21 = 210

So there are 210 ways to select a committee of 4 people with 2 men and 2 women.

To select a committee of 4 people with at least 2 women, we can count the number of committees with exactly 2 women, 3 women, or 4 women, and add them together.

The number of committees with exactly 2 women is:

C(7, 2) * C(5, 2) = 21 * 10 = 210

The number of committees with exactly 3 women is:

C(7, 3) * C(5, 1) = 35 * 5 = 175

The number of committees with all 4 women is:

C(7, 4) = 35

So the total number of committees with at least 2 women is:

210 + 175 + 35 = 420

Therefore, there are 420 ways to select a committee of 4 people with at least 2 women.

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Answer:

Tge attached graph shows the limits of both the apples and bananas individually, and the line shows the limit of the combined fruit count.  The area under the green line but within the limits of x=80 and y = 90 is the region that satisfies the inequalities.

Step-by-step explanation:

the correct answer is A. $63,200.

To compute the cost component of the machine, we need to add up all the related expenditures to the cash price of the machine.

Cash price of the machine: $60,000

Sales taxes: $2,000

Insurance after installation: $200

Installation and testing: $1,000

Total related expenditures: $2,000 + $200 + $1,000 = $3,200

Cost component of the machine: Cash price + Total related expenditures

Cost component of the machine = $60,000 + $3,200 = $63,200

Therefore, the correct answer is a. $63,200.

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Answer:

Option B

Step-by-step explanation:

36x^3-x=0,

x(36x^2-1)=0,

x((6x)^2- (1)^2)=0,

x(6x-1)(6x+1)=0

Your solution would be (6x-1)(6x+1) accordingly.

Answer: Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.

Step-by-step explanation:

Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.

The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle. As a starting point, we can use x = 0 for any trigonometry graph function. Trigonometric functions have a periodic nature. As opposed to tangent and cotangent, which have period, sine, cosine, secant, and cosecant all have period 2.

Studying the correlations between triangle side lengths and angles is the subject of trigonometry, a branch of mathematics. By using geometry to study astronomy, the field first appeared in the Hellenistic civilization during the third century BC. The earliest documented tables of values for trigonometric ratios (sometimes called trigonometric functions) such as sine were developed by mathematicians in India, while the Greeks concentrated on chord calculation.

Geodesy, surveying, celestial mechanics, and navigation are just a few of the fields where trigonometry has been used historically. The various identities of trigonometry are well recognized.

These trigonometric identities are frequently used to simplify, discover a more practical form for, or solve equations involving trigonometric expressions.

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complete question:

Explain what is meant by the period of a trigonometric function. what are the periods of the six trigonometric functions?

Step-by-step explanation:

step 1. since we have a right triangle we can use trigonometry

step 2. <A: 5 is the opposite and 8 is the hypotenuse so we use sine

step 3. sinA = opp/hyp = 5/8

step 4. A = 38.68° using inverse sine on your calculator.

Answer:

TU = 2.5

Step-by-step explanation:

sin 34 = 1.4/TU

0.5592 = 1.4/TU

TU = 2.5

(a) The function f(x) = 4x³ - 2 is injective (one-to-one) and surjective (onto).

(b) The inverse function of f is f⁻¹(x) = ∛((x + 2)/4).

(a) To show that the function f: R → R defined by f(x) = 4x³ - 2 is injective (one-to-one) and surjective (onto):

Injectivity: Suppose we have two values x₁ and x₂ in the domain such that f(x₁) = f(x₂). We need to prove that x₁ = x₂. So, let's assume 4x₁³ - 2 = 4x₂³ - 2. By simplifying, we get 4x₁³ = 4x₂³.

Dividing both sides by 4 gives us x₁³ = x₂³.

Taking the cube root of both sides gives x₁ = x₂. Therefore, the function f is injective.

Surjectivity: For surjectivity, we need to show that for every y in the codomain (R), there exists at least one x in the domain (R) such that f(x) = y. Let's take an arbitrary y ∈ R.

We need to find an x such that f(x) = y. Solving the equation 4x³ - 2 = y for x, we have x = ∛((y + 2)/4). Thus, for any y in the codomain, there exists an x in the domain such that f(x) = y. Therefore, the function f is surjective.

(b) To find f⁻¹(x) (the inverse function of f), we interchange the roles of x and f(x) in the original function equation and solve for x.

Start with y = 4x³ - 2 and solve for x:

y + 2 = 4x³

x³ = (y + 2)/4

x = ∛((y + 2)/4)

Thus, the inverse function of f is f⁻¹(x) = ∛((x + 2)/4).

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