A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.

What is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?

0.114
0.131
0.686
0.784

Answer:

b

Step-by-step explanation:

Answer:

Answers are below.

Step-by-step explanation:

Sin θ = Opposite / Hypotenuse

Cos θ = Adjacent / Hypotenuse

Tan θ = Opposite / Adjacent

1) sin (60) = 16/x

x = 16/(sin 60)

x ≈ 18.46

2) cos (45) = x/13

13 cos(45) = x

x ≈ 9.19

3) tan (53) = 10/x

x = 10/tan(53)

x ≈ 7.54

4) tan (21) = x/12

12 tan(21) = x

x ≈ 4.61

Answer:

Step-by-step explanation:

Let's call the "positive real number" X.

Basically, the question is  a riddle asking for the "solution" to 14x+240=x²

Figure that out, and

The answer is 24.

The correct answer is 24.

Hey there! I'm happy to help!

I assume that n is supposed to be π. To find the volume of a cone, you multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find the area of a circle, you square the radius and multiply by π.

5²=25

And we multiply by π.

25π

Now we multiply by the height.

25π×13=325π

We divide by three.

325π/3≈108π

Therefore, the answer is 108π in.

Have a wonderful day! :D

Answer:

[tex]-16x^{2} y^{2}z^{2}[/tex]

Step-by-step explanation:

Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get [tex]-16x^{2} y^{2}z^{2}[/tex].

Answer:

Your correct answer is = −16y2z2

Answer:

7

Step-by-step explanation:

2x^2 - 7x - 4 = 45

2x^2 - 7x - 49 = 0 : subtract 45 from both sides

Quadratic formula:

  x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4

  x = (7 ± sqrt(49 - -392)) / 4

  x = (7 ± sqrt(441)) / 4

  x = (7 ± 21) / 4

  x = (7 + 21) / 4 OR x = (7 - 21) / 4

  x = 28 / 4 OR x = -14 / 4

  x = 7 as it is the only positive answer

Answer:

Height of flagpole before it fell = 5.15 m

Step-by-step explanation:

Given:

Height of remain pole (p) = 1.7 m

Distance from base (b) = 3 m

Find:

Height of flagpole before it fell

Computation:

Using Pythagorean theorem

H = √ p² + b

Length of broken part = √ 1.7² + 3²

Length of broken part = √ 2.89 + 9

Length of broken part = √ 11.89

Length of broken part = 3.45 (Approx)

Height of flagpole before it fell = Length of broken part + Height of remain pole

Height of flagpole before it fell = 3.45 + 1.7

Height of flagpole before it fell = 5.15 m

Answer:

r

Step-by-step explanation:

we know this because it is the only part of the graph that is moving downwards, meaning its decreasing. P is an example of increasing, Q is 'neutral' and s is also increasing.

Answer:

B

Step-by-step explanation:

There is a difference of 2 between consecutive odd integers.

let n , n + 2 and n + 4 be the 3 consecutive odd integers, then

n + n + 2 + n + 4 = 87 , that is

3n + 6 = 87 ( subtract 6 from both sides )

3n = 81 ( divide both sides by 3 )

n = 27, n + 2 = 27 + 2 = 29, n + 4 = 27 + 4 = 31

Thus

The 3 consecutive odd integers are 27, 29, 31 → B

Answer is 66.

I hope it will help you:)

Answer:

= 66

Step-by-step explanation:

The two integers are -22 and -24, because they are both even and consecutive, and adding them equals -46.

-24 divided by 4 is -6, and -22 plus 11 is -11

Now all we have to do is find the product (multiply  -11 and -6)

And this gives us the answer: 66

Answer: C. Yes, this means more rainfall causes apple trees to produce more fruit.

Step-by-step explanation:

A positive correlation exists when one variable increases as the other variable increases.

Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the a production of apple fruit.Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.

Yes, this means more rainfall causes apple trees to produce more fruit.

We have given that,

There is a strong positive linear correlation between rainfall and the number of apples a tree produces.

A positive correlation exists when one variable increases as the other variable increases.

Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the production of apple fruit. Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.

Option C is correct.

Yes, this means more rainfall causes apple trees to produce more fruit.

To learn more about the correlation visit:

https://brainly.com/question/4219149

#SPJ2

Answer: Step 1

Find the scale factor

we know that

If the two cylinders are similar

then

The ratio between the circumference of the larger cylinder to the circumference of the smaller cylinder is equal to the scale factor

Step 2

Find the lateral area of the smaller cylinder

we know that

If the two cylinders are similar

then

The ratio between the lateral area of the larger cylinder to the lateral area of the smaller cylinder is equal to the scale factor squared

Let

x--------> the lateral area of the larger cylinder

y-------> the lateral area of the smaller cylinder

z--------> the scale factor

In this problem we have

substitute in the formula and solve for y

therefore

the answer is

33.6π mm2

The correct option is Option D: the lateral area of the smaller cylinder is 84π mm².

The lateral area of the cylinder is the area of the curved surface which can be calculated by the formula given below

lateral area of the cylinder= 2πrl

where r is the radius of the cylinder and l is the length of the cylinder.

Here given that the two cylinders are similar.

The larger cylinder has base of circumference = 60π mm

As we know the circumference of base of cylinder= 2πR

⇒60π= 2πr

⇒2πR= 60π

Given the lateral area of the larger cylinder is 210π mm²

From above formula, it is clear that the lateral area of the cylinder= 2πrl

⇒ 210π = 2πrl

⇒2πRl= 210π

⇒60πl= 210π (as from above it is derived that 2πr= 60π)

⇒l= 210π/ 60π= 7/2

⇒l= 3.5 mm

the smaller cylinder has base of circumference = 24π mm

⇒ 2πr= 24π mm

then the lateral area of the smaller cylinder is= 2πrl= 24π*3.5= 84π mm²

Therefore the correct option is Option D: the lateral area of the smaller cylinder is 84π mm².

Learn more about the lateral area of the cylinder

here: https://brainly.com/question/2292413

#SPJ2

Answer:

Symmetry is the property of an object to retain its shape even if it is turned or turned.

The three corporate logos are McDonald, Shell, Snapcaht

McDonald company logo is symmetrical and it is a reflective symmetry.

Shell logo is symmetrical and it is also reflective symmetry.

Snaphcat logo is symmetrical and it is also reflective symmetry.

Answer:

x = 8

or

x = -4

Step-by-step explanation:

3x² - 12x = 96

Divide both sides by 3

x² - 4x = 32

Add 4 to both sides

x² - 4x + 4 = 32 + 4

(x - 2)² = 6²

Find the square root of both sides

√(x - 2)² = √6²

x - 2 = +/- 6

x - 2 = +6 or -6

x - 2=+6

x=6+2

x=8

x - 2=-6

x=-6+2

x=-4

x = 8

or

x = -4

Answer:

i believe it's b

Step-by-step explanation:

i haven't seen a question like this is a while so i'm sorry if it's wrong

Answer:

B.

Step-by-step explanation:

x < 3 will be graphed as an empty circle at positive 3, with the line extending infinitely to the left of the circle.

x ≥ 5 will be graphed as a solid circle at positive 5, with the line extending infinitely to the right of the circle.

The two statements are best represented by graph B.

Hope this helps!

Answer: x = 9[tex]\sqrt{2\\}[/tex], y =18

Step-by-step explanation:

cuz

Answer:

Step 1: 4

Step 2: 4 and 1

Step 3: 2x² + 4x + x + 2

Step 4: (2x² + 4x) + (x + 2)

Step 5: 2x(x + 2) + 1(x + 2)

Step 6: (x + 2)(2x + 1)

Step-by-step explanation:

Answer:

If you wish to find any term (also known as the {n^{th}}n  

th

 term) in the arithmetic sequence, the arithmetic sequence formula should help you to do so. The critical step is to be able to identify or extract known values from the problem that will eventually be substituted into the formula itself.

Step-by-step explanation:

Answer:

a. TRUE.

Step-by-step explanation:

If the pair of opposite sides are both parallel and congruent, the other two sides will have to fit in between the two lines. That will make the other two sides both parallel and congruent, so the quadrilateral is a parallelogram.

Answer:

a. True

Step-by-step explanation:

A parallelogram is a quadrilateral. A parallelogram has two pairs of opposite parallel sides. The opposite parallel sides are equal in length and are congruent.

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              Hi my lil bunny!

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[tex]5x - 9 = 5 - 3x[/tex]

[tex]5x - 3x = 5 - 9[/tex]

[tex]2x = -4[/tex]

[tex]X = \frac{-4}{2} = -2[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

15

1

yes

Step-by-step explanation:

took the thingy on edge 2020

Answer:

agree with the other person

Step-by-step explanation:

===================================================

Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

Answer:

1. 3

2. 12

3. 27

Step-by-step explanation:

Answer:

1. 3                2. 12                3. 27

Step-by-step explanation:

1. 25's perfect square would be 5. 81's would be 9. 100's is 10. 121's is 11. So therefore, that would leave you with 3.

2. 4's is 2. 9's is 3. 144 is 12. 36 is 6. Therefore, 12 is not a perfect square.

3. The perfect square of 1 is obviously 1. 16 is 4, 49 is 7, and 64 is 8. So, 27 is the odd one out.

I really hope this helped! Good luck :)

Answer:

x=10 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + ( sqrt(200) )^2 = (sqrt(300))^2

x^2 +200 = 300

Subtract 200 from each side

x^2 +200-200 = 300-200

x^2 = 100

Take the square root of each side

sqrt(x^2) = sqrt(100)

x = 10

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

Answer:

3. 7/12.

4. 7/5.

5. 1.

Step-by-step explanation:

The slope of a line can be obtained by taking the ratio of change in y-coordinate to that of x-coordinate. Mathematically, it is expressed as:

Slope = Δy /Δx

Δy = y2 – y1

Δx = x2 – x1

With the above formula in mind, let us answer the questions given above.

3. Point => (–8, –2) (4, 5)

x1 = –8

x2 = 4

Δx = x2 – x1

Δx = 4 – –8

Δx = 4 + 8

Δx = 12

y1 = –2

y2 = 5

Δy = y2 – y1

Δy = 5 – – 2

Δy = 5 + 2

Δy = 7

Slope = Δy /Δx

Slope = 7/12

4. Point => (3, –5) (8, 2)

x1 = 3

x2 = 8

Δx = 8 – 3

Δx = 5

y1 = –5

y2 = 2

Δy = y2 – y1

Δy = 2 – – 5

Δy = 2 + 5

Δy = 7

Slope = Δy /Δx

Slope = 7/5

5. Point => (–4, –5) (4, 3)

x1 = –4

x2 = 4

Δx = x2 – x1

Δx = 4 – –4

Δx = 4 + 4

Δx = 8

y1 = –5

y2 = 3

Δy = y2 – y1

Δy = 3 – – 5

Δy = 3 + 5

Δy = 8

Slope = Δy /Δx

Slope = 8/8

Slope = 1

Answer:

5/2, 4/5 are terminating decimals

Step-by-step explanation:

5/2 = 2.5  this is a terminating decimal

4/5 = .8 this is a terminating decimal

2/7 = .285714(repeating)  This is a repeating decimal

4/3 = 1.3(repeating)  this is a repeating decimal

Answer:

Hey There!!

4/5 and 5/2 are your answers!

Step-by-step explanation

Answer:

D. 35°

Step-by-step explanation:

1. The bottom right angle and 95° add up to 180°. Solve for that angle.

95 + y = 180

y = 85

2. Triangles have a total of 180°. Set up the equation.

60 + 85 + x = 180°

3. Simplify

145 + x = 180

4. Solve for x by subtracting 145 from both sides

x = 35°

Answer:

x = 35

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

60+x = 95

Subtract 60 from each side

60 +x-60 = 95-60

x = 35

Answer:

2383.14286

Step-by-step explanation:

The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!

Answer:

Porque se convierte en positivo cada vez que haces la raíz cuadrada.