A box contains 21 marbles of the same size. 7 of the marbles are white, 4 are black, 10 are green. If two of the marbles are randomly selected from the box, what is the probability that the first marble is white and the second is green, given that the first marble is not replaced before the second marble is selected

Answer:

[tex]S_{32}[/tex] = - 1216

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = a₂ - a₁ = 20 - 24 = - 4 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 24) + (31 × - 4) ]

     = 16(48 - 124)

     = 16 × - 76

     = - 1216

Answer:

The experimental probability of flipping tails is 40%. Mentor: The experimental probabilities were 40% tails and 60% heads. This does not precisely match with the theoretical probability of 50% tails and 50% heads.

Step-by-step explanation:

Answer:

[tex] {x}^{3} + {x}^{2} −24x+36[/tex]

Step-by-step explanation:

[tex](x + 6)(x - 2)(x - 3)[/tex]

[tex][x(x−2)+6(x−2)](x−3)[/tex]

[tex]( {x}^{2} −2x+6x−12)(x−3)[/tex]

[tex]( {x}^{2} +4x−12)(x−3)[/tex]

[tex] {x}^{3} + {x}^{2} −24x+36[/tex]

Answer:

I think its A? Not sure though

Step-by-step explanation:

Answer:

[tex]x = \frac{22}{3}[/tex]

Step-by-step explanation:

Since both CB and ED intersect AD perpendicularly, we can say they are parallel and that ΔACB is similar to ΔAED from Thales intercept theorem. Now, we can set up a proportion from the definition of similar triangles:

[tex]\frac{AB}{AD} = \frac{BC}{DE}[/tex]

We can say that AD = AB + BD(segment addition postulate) and substitute to get AD = 11. Now we can plug in the numbers we have to the proportion:

[tex]\frac{6}{11} =\frac{4}{x}[/tex]

We can cross-multiply to get:

[tex]6x = 44[/tex]

and divide by 6 to get

[tex]x = \frac{22}{3}[/tex]

Answer:

IQR = 3

Step-by-step explanation:

That would be 20 - 17, or 3.

Answer:

3 2/3.

Step-by-step explanation:

44 divided by 12 = 3 with remainder 8.

44/12 = 3 8/12

= 3 2/3.

Answer:

2384

Step-by-step explanation:

40x50=2000

40x24/2=384

2000+384=2384

Answer:

2384

Step-by-step explanation:

1. Approach

To solve for the area of the given figure, divide the figure up into two parts. This will ensure that one can find the area of each individual part, and then add the two resulting areas up to find the total area of the figure. One can split this figure into a rectangle, and a triangle.

2.Find the area of the rectangle

The rectangle will have the following dimensions,

(40) x (50)

To find the area of a rectangle, one will use the following formula,

(length) * (width) = (area)

Therefore, the area is the following,

(40) * (50) = 2000

3.Area of the triangle

3a. Approach

To find the area of a triangle, one will use Heron's formula. Herons' formula states the following,

[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where (s) is the semi-perimeter or half of the perimeter, and (a), (b), and (c) are the sides of the triangle. This requires that one knows all of the sides of the triangle.

3b. Find the unknown side and semi-perimeter

It is given that the triangle is right indicated by a box around one of the angles), thus one can use the Pythagorean theorem to find the length of the unknown side. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) represent the legs, the sides adjacent (next to) the right angle. Moreover, (c) represents the hypotenuse or the side opposite the right angle. Substitute in the given values and solve for (b),

[tex](40)^2=(24)^2+(b)^2\\[/tex]

Simplify,

[tex]1600=576+b^2[/tex]

Inverse operations,

[tex]1024=b^2\\\sqrt{1024}=b\\32=b[/tex]

Add up all of the sides of the triangle and divide by (2) to fin the semi-perimeter,

[tex]\frac{a+b+c}{2}\\\\=\frac{20+24+32}{2}\\\\=48[/tex]

3c. Find the area of the triangle

Substitute into Heron's formula,

[tex]\sqrt{s(s-a)(s-b)(s-c)}\\\\=\sqrt{48(48-32)(48-40)(48-24)}\\\\=\sqrt{48(16)(8)(24)}\\\\=\sqrt{147456}\\\\=384[/tex]

Add the area of the rectangle and triangle together to find the answer,

384 + 2000

= 2384

Answer:

A. 520 square inches is your surface area of the rectangular prism

Answer:

D

Step-by-step explanation:

A: The sum of Y and H is +. If the scale is correct, this is not true. Y is further away from 0 than H is. Suppose H = 5 and Y = -7. Then Y + H = 5 + -7 = - 2

B: E and Y area both minus. The minus signs cancel. Therefore the answer will be + B is wrong.

C: H>0 and E<0. A negative times a positive is a negative not a positive. C is wrong

D: A - H Suppose A = 2 and H = 5 . Then A - H = 2 - 5 which is - 3

This is your answer.

The reason is that H is further from the 0 than A is.

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](2x - 3) - (x - 1) \\ = 2x - 3 - x + 1 \\ = 2x - x - 3 + 1 \\ = x - 2[/tex]

⇻Option B. x - 2 is the correct answer.

Answer:

370mm

Step-by-step explanation:

15mm×30mm=450mm

8mm×10mm

450mm-80mm =370mm

Answer:

57

Step-by-step explanation:

Answer:

[tex]57[/tex]

Step-by-step explanation:

This is a plug-and-chug type problem. Substituting given values, we have:

[tex]\frac{3}{4}|-4-2(6^2)|,\\\\\frac{3}{4}|-4-2(36)|,\\\\\frac{3}{4}|-4-72|,\\\\\frac{3}{4}|-76|,\\\\\frac{3}{4}(76)=\boxed{57}[/tex]

Answer:

See explanation

Step-by-step explanation:

Given

[tex]3x = 6[/tex]

Solving (a): What the expression means

3 when multiplied by x, gives 6

Solving (b): Why 2 is the solution

We have:

[tex]3x = 6[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

Answer:

is there just 2 answers too this question? anyways the answer b

Answer:

g = 4

Step-by-step explanation:

-7g - 2 = -30

Add 2 to both sides to get:

-7g -2+2 = -30+2

which is equal to:

-7g = -28

now divide both sides by -7 to get the value of g which is:

g = -28 / - 7

--> g = 4

Answer:

g = 4

Step-by-step explanation:

First you can add 2 to both sides to isolate the x term:

-7g -2 = -30

      +2   +2

-7g = -28

Now, you can divide by -7 both sides to find g,

-7g = -28

÷ -7     ÷ -7

g = 4

Answer:

Lateral Area: 120                                                                                    

Surface Area: 163.3

Answer:

=> 2x²-7x+5

=> 2x²-2x-5x+5

=>2x(x-1)-5(x-1)

______________

Hope it helps

-------☆ﾟ.･｡ﾟƒöᏝϗʆѻʁᶥąռ¹₃

Answer:

Step-by-step explanation:

Answer:

Your question seems inaccurate. Sorry,please give the correct question.

Answer:

B     5√34 / 34

Step-by-step explanation:

tan ∅ = opp/adj

In quad II

tan ∅ = 5 / (-3)

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

hyp^2 = 5^2 + (-3)^2

hyp^2 =25 + 9 = 34

hyp = √34

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

sin ∅ = opp/hyp

sin ∅ = 5/√34

Rationalizing

sin  ∅ = 5√34 / 34

Consider this equation [tex]tan(\theta)=-5/3[/tex]. if theta is an angle in quadrant II the of  [tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex].

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

Consider this equation

[tex]tan(\theta)=-5/3[/tex]

B     5√34 / 34

if theta is an angle in quadrant II what is the of sin(theta)

[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

In quadrant II

tan ∅ = 5 / (-3)

[tex]hyp^2 = 5^2 + (-3)^2\\hyp^2 =25 + 9 = 34\\hyp = \sqrt{34}[/tex]

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]sin \theta = \dfrac{5}{\sqrt{34} }[/tex]

Rationalizing

[tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

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Answer:

Y=26.9x-1.3is the answer

Step-by-step explanation:

The best model represents y = 26.9x – 1.3

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

As, the data given about productivity is well defined by y = 26.9x – 1.3

As, we have 4 functions so by putting the values we get

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

So, the most accurate is (C)y = 26.9x – 1.3.

Learn more about this concept here:

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Answer:

2(-2,4) + 2(-1,8)=-8.4

Step-by-step explanation:

2x-2

2x4

2x-1

2x8

-8.4

Step-by-step explanation:

1. C:arithmetic, 34, 39, 44

2. B: geometric, -64, 128, -256

3. C: geometric, 1, 1/3, 1/9