A box contains 5 purple marbles, 3 green marbles, and 2 orange marbles. Twoconsecutive draws are made from the box without replacement of the first draw.Find the following probability:P(first marble is purple, second is any color EXCEPT purple)

Answer:

Step-by-step explanation:

common factor is 4

4(8a+7)

The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6

In this question, we have:

Function, f(x) = -2/3x + 4

Where

x is the bottles of hand sanitizer per month

The function f(x) cannot be less than 0

So, we have

-2/3x + 4 = 0

This gives

-2/3x = -4

Solve for x

x = 6

This means that x cannot exceed 6

Hence, the domain is (b) . 0 ≤ x ≤ 6

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Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.

What is mathematics?

Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.

Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.

Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.

Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.

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Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

I hope it helps you ❤️❤️❤️

Answer: 70  

Step-by-step explanation:

First you multiply 17x8 then you subtract it by 64 then you divide it by 2 please double check  with a parent to make su

Answer:

25.95 quarters which is about 6.5 years

Step-by-step explanation:

The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.

\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)

[ sin 45° = 1/√2 ]

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)

\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)

So, the side HG is b√2 cm long

The given list of numbers 3,9,15,21..form an Arithmetic Progression(AP).

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression (AP). A fixed number is added to the term preceding it in the sequence to obtain each term, with the exception of the initial term.

Given list of numbers is 3,9,15,21 ...

To determine whether the series is an Arithmetic Progression, find the difference of the terms which should be constant in an AP.

9 - 3 = 6

15 - 9 = 6

21 - 15 = 6

Therefore, as each term of the given series differs from its preceding term by 6 it is an AP.

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Answer: conic sections

Step-by-step explanation: the other options are a part of conic sections that are named depending on the angle of the plane relative to the cone, and the intersection.

The graphs and the equations are matched and mentioned above.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph of the function as shown in the image.

The function g(x) = f(x) + 2, is represented by graph [1].

The function h(x) = f(x + 2), is represented by graph [6].

The function k(x) = f(x) - 2, is represented by graph [3].

The function g(x) = f(x - 2), is represented by graph [5].

Therefore, the graphs and the equations are matched and mentioned above.

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Answer:

1.97497

Step-by-step explanation:

Using my calculator, I just put in log(94.4).

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer: it could be d

By I’m smart

Step-by-step explanation:

Answer:

x = -0.5

Step-by-step explanation:

-7x-3=5x+3

+7x       +7x

-3=12x+3

-3        -3

-6=12x

x=-0.5

Answer:

Normal distribution or normal curve. It is most appropriate to report the mean for such a distribution

Step-by-step explanation:

Step-by-step explanation:

21/ 175 ÷ 100%

= 0.12 × 100%

= 12%

Answer:

2 3/4 in.

Step-by-step explanation:

66/6 = 11

11(1/4) = 11/4

11/4 = 2 3/4

Answer:

18.16 km

Step-by-step explanation:

r = 2km so i took each circle there is 4 circle's and i multiplied each circle by 2 that's how i got the answer -.-

Answer:

12.56 km

Step-by-step explanation:

It's 12.56 km because the radius is 2 km, so...

2 * 2=4

(because that is just half)

4 * pi = 12.56

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.

Regarding the given diagram, the following claims are always true:

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.

m∠2 + m∠3 + m∠5 = 180°

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

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Answer:

sorry for being late

1=40

2=50

3=50

4=130

5=90

Step-by-step explanation:

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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Answer:

See below

Step-by-step explanation:

The value of x, considering the consecutive interior angles in this problem, is given as follows:

x = 30.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

3x - 8 + 4x - 22 = 180

7x - 30 = 180

7x = 210

x = 210/7

x = 30.

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1.) f^-1(x) = x/3 -2

2.)f^-1(x) = 5x/6 + 5/2

I hope this helps you have a nice day!

The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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Answer:

Option 4: at the vertices of the feasible region.

I completed the quiz

Answer:

at the vertices of the feasible region

Step-by-step explanation:

this is the correct answer

hope i helped

Answer:

67

Step-by-step explanation:

The measure of the angle supplement of TOK is 131°.

Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.

Now the given angle is,

m TOK = 49°

Let the supplement of 49° be x.

Now, 49° + x = 180°

Taking alike terms together we get,

⇒ x = 180° - 49°

Solving we get,

⇒ x = 131°

which is the required supplement of TOK.

Thus, the measure of the angle supplement of TOK is 131°.

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Answer: supplement <17

Step-by-step explanation:

1. 17 is greater

2. supplement is smaller

Answer:

the first one

Step-by-step explanation:

I just took it on edge.

Answer:

It is B just took the unit quiz

Step-by-step explanation: