Which of the following is not a property of atoms?
A. All atoms of the same element are identical
B.Atoms have the ability to vibrate and move
C.Atoms have at least two electrons
D.Atoms have three different subatomic particles

Answer:

(a) 0.000061

(b) 0.000061

(c) 0.209

Step-by-step explanation:

An array of 14 bits is equally likely to be 0 or 1.

That is, P (0) = P (1) = 0.50.

(a)

Compute the probability that all bits are 1s as follows:

[tex]P(\text{All bits are 1s})=[P(1)]^{14}[/tex] ∵ the bits are independent

                            [tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]

Thus, the probability that all bits are 1s is 0.000061.

(b)

Compute the probability that all bits are 0s as follows:

[tex]P(\text{All bits are 0s})=[P(0)]^{14}[/tex] ∵ the bits are independent

                            [tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]

Thus, the probability that all bits are 0s is 0.000061.

(c)

Compute the probability that exactly 7 bits are 1s and 7 bits are 0s as follows:

Define X as the number of bits that 1s.

Then the random variable X will follows a binomial distribution with parameters n = 14 and p = 0.50.

The value of P (X = 7) is:

[tex]P(X=7)={14\choose 7}(0.50)^{7}(1-0.50)^{14-7}[/tex]

               [tex]=\frac{14!}{7!\times 7!}\times (0.50)^{14}\\\\=3432\times 0.000061\\\\=0.209352\\\\\approx 0.209[/tex]

Thus, the probability that exactly 7 bits are 1s and 7 bits are 0s is 0.209.

Answer:

The answer is the first one, I put 5 pounds of birdseed and he ate 5 pounds, leaving you with none, or zero.

Step-by-step explanation:

Answer:

π/6 [(29)^³/₂ − 1]

81.247

Step-by-step explanation:

Surface area is:

S = ∫∫ √(fₓ² + fᵧ² + 1) dA

The partial derivatives are:

fₓ = -2x

fᵧ = -2y

Substituting:

S = ∫∫ √(4x² + 4y² + 1) dA

To make this easier, we can convert to polar coordinates.

S = ∫∫ √(4r² + 1) dA

S = ∫∫ √(4r² + 1) r dr dθ

S = ⅛ ∫∫ 8r √(4r² + 1) dr dθ

The limits for θ are 0 to 2π.  The minimum of r is 0.  The maximum of r is:

-6 = 1 − x² − y²

-6 = 1 − r²

r² = 7

r = √7

Integrating the first integral:

S = ⅛ ∫ ⅔ (4r² + 1)^³/₂ |₀ᴿ dθ

S = ⅛ ∫ [⅔ (4(7) + 1)^³/₂ − ⅔ (4(0) + 1)^³/₂] dθ

S = ⅛ ∫ [⅔ (29)^³/₂ − ⅔] dθ

S = ¹/₁₂ [(29)^³/₂ − 1] ∫ dθ

Integrating the second integral:

S = ¹/₁₂ [(29)^³/₂ − 1] θ |₀²ᵖⁱ

S = ¹/₁₂ [(29)^³/₂ − 1] (2π − 0)

S = π/6 [(29)^³/₂ − 1]

S ≈ 81.247

The area of a shape is the amount of space it covers.

The surface area is approximately 81.3 unit squares

The given parameters are:

[tex]\mathbf{z = 1 - x^2 - y^2}[/tex]

[tex]\mathbf{z = -6}[/tex]

Calculate the partial derivatives of [tex]\mathbf{z = 1 - x^2 - y^2}[/tex]

[tex]\mathbf{f_x = -2x}[/tex]

[tex]\mathbf{f_y = -2y}[/tex]

So, the surface area is:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(f_x^2 + f_y^2 +1 )}} \, dA }[/tex]

So, we have:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{((-2x)^2 + (-2y)^2 +1 )}} \, dA }[/tex]

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4x^2 + 4y^2 +1 )}} \, dA }[/tex]

Factor out 4

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4(x^2 + y^2) +1 )}} \, dA }[/tex]

Substitute

[tex]\mathbf{r^2 = x^2 + y^2}\\\mathbf{dA = rdr d\theta}[/tex]

So, we have:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r\ dr\ d\theta }[/tex]

Multiply by 1

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r \times 1\ dr\ d\theta }[/tex]

Express 1 as 8/8

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r \times \frac{8}{8}\ dr\ d\theta }[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{1}{8} \int\limits^a_b\int\limits^a_b {8r \sqrt{(4r^2 +1 )}}, \ dr\ d\theta }[/tex]

From the question,

[tex]\mathbf{z = -6}[/tex]

So, we have:

[tex]\mathbf{1 - r^2 = -6}[/tex]

Add 6 to both sides

[tex]\mathbf{7 - r^2 = 0}[/tex]

So, we have:

[tex]\mathbf{r^2 = 7}[/tex]

Integrate [tex]\mathbf{A =\frac{1}{8} \int\limits^a_b\int\limits^a_b {8r \sqrt{(4r^2 +1 )}}, \ dr\ d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{8} \int\limits^a_b {\frac{8}{12} (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{8} \times \frac{8}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32} -(4 \times 0^2 +1 )^{\frac 32} }, d\theta }[/tex]

Substitute [tex]\mathbf{r^2 = 7}[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4\times 7 +1 )^{\frac 32} - 1^{\frac 32}}, d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b {29^{\frac 32} - 1}, d\theta }[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \int\limits^a_b d\theta }[/tex]

Integrate

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times \theta |\limits^{2\pi}_0}[/tex]

So, we have:

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times (2\pi - 0) }[/tex]

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times 2\pi}[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{2\pi}{12} (29^{\frac 32} - 1)}[/tex]

[tex]\mathbf{A =\frac{\pi}{6} (29^{\frac 32} - 1)}[/tex]

[tex]\mathbf{A =81.3}[/tex]

Hence, the surface area is approximately 81.3 unit squares

Read more about surface areas at:

https://brainly.com/question/3621496

Answer:

(5a + 0.1b^5)(5a + 0.1b^5)

Step-by-step explanation:

25a^2 − 0.01b^10 =

This follows the pattern: x^2 - y^2 = (x + y)(x - y)

= (5a + 0.1b^5)(5a + 0.1b^5)

Answer:

his balance will be 51.25 rs.

Step-by-step explanation:

200 - 148.75 = 51.25

Answer:

51.25

Step-by-step explanation:

200-148.75

=51.25

Answer:

a = 60

Step-by-step explanation:

Since it is a quadrilateral, the sum of interior angles is equal to 360°. Now you have to create an equation to solve this question. To create an equation, you have to add all the interior angles to 360°.

The equation would be 2a°+a°+a°+2a° = 360°.

Then you would simplify it to 6a° = 360.

You would divide 6 on both sides to get to a° = 60.

Therefore, the value of a is 60.

Hope this helped! If not, please let me know! <3

Answer:

15 (50*0.3)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

0.3*50 = 15

Answer:

pretty sure its B

Step-by-step explanation:

hope this helps ;)

Answer:

C

Step-by-step explanation:

well when we multiply to get a common denominator we get 25/30 and 12/30 so the only possible answer is 1/3

Answer:

200,000

Step-by-step explanation:

Answer:

51 cubic units

Step-by-step explanation:

[tex]3x+2y+z=12\\\Rightarrow z=12-3x-2y[/tex]

Now we integrate over volume integral over the range [tex]R = \{(x,y) | 0\le x \le {1}, -{2} \le y \le {4} \}[/tex]

[tex]V=\int_0^1\int_{-2}^4 12-3x-2y dydx\\ =\int_{-2}^4 12y-3yx-y^2|_4^{-2} dx\\ =\int_{0}^1 12\times4-3\times4x-16-[12\times-2-3\times-2x-4]dx\\ =\int_{0}^1 60-18xdx\\ =60x-9x^2|_{0}^1\\ =60-9\\ =51\ \text{cubic units}[/tex]

The volume of the solid is 51 cubic units.

Answer:

So the answer is gonna be: 33,580.  Hope this help!

Step-by-step explanation:

Step-by-step explanation:

[tex] \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}[/tex]

[tex] \sf{\dfrac{5( \fbox{9})}{9} = C}[/tex]

[tex] \sf{ \dfrac{45}{9} = C}[/tex]

[tex] \sf{C = 5 }[/tex]

So,

41° F = [5]°C

Answer:

5 > 4.7 > 4 > 350% > 1.22 > -0.5 > -13 > -66

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

3/4+1/8

give common denominators

6/8+1/8

add like terms

7/8.

Answer:

3/4 +1/8=

6/8+1/8=7/8

Answer:

-6/49

Step-by-step explanation:

this is the answer it is very easy

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 3 on the left side and the dividend 78 on the right side like this:

   3 ⟌ 7 8  

Step 2:

The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:

       2    

   3 ⟌ 7 8  

Step 3:

Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.

       2    

   3 ⟌ 7 8  

       6    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.

       2    

   3 ⟌ 7 8  

     - 6    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       2    

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 6:

The divisor (3) goes into the bottom number (18), 6 time(s). Therefore, put 6 on top:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (3 x 6 = 18) and write that answer at the bottom:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 18 = 0) and write the answer at the bottom.

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

     - 1 8  

         0  

Answer:

380 dollars

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = \frac{437}{1.15}

1.15

437

x = 380

Answer/Step-by-step explanation:

We are given the following coordinates of two points on the line of the graph shown in the question as: A(2, 1) and B(4, 2)

Vertical change from point A = [tex] y_2 - y_1 = 2 - 1 = 1 [/tex]

Horizontal change from point A = [tex] x_2 - x_1 = 4 - 2 = 2 [/tex]

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1}{2} = 0.5 [/tex]

Answer:

35:2

Step-by-step explanation:

7000 and 400 are each multiples of 100. 7000÷100=70

400÷100=4

70/4 is left

divide each by 2 as it is the only number that can go both in to 70 and 4

Answer:

-[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We can find the slope of the line by using the point slope formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

If we plug in your numbers, we get:

[tex]\frac{4-2}{4-8}[/tex], or -[tex]\frac{2}{4}[/tex], or -1/2.

Answer:

3

Step-by-step explanation:

Answer:

3 sqrt3

Step-by-step explanation:

AP3X

Answer:

yes

no

Step-by-step explanation:

i hope im correct please give me brainliest and some feedback if im correct or not :)

Answer:

a = 2 hours and 9 minutes

Explanation:

(using fractions)

45 minutes + 1 2/5 hours = 3/4 hours + 7/5 hours = 15/20 + 28/20 = 43/20 = 2 3/20 = 2 9 /60 = 2 hours 9 minutes.

(using decimals)

45 minutes + 1 2/5 hours =

0.75 hours + 1.4 hours = 2.15 hours = 2 hours 9 minutes.

since .15 × 60 = 9 .

Also keep in mind that there are 60 minutes in an hour.

Answer:2 3/20

Step-by-step explanation:

1 2/5 + 45(3/4)

=2 3/20

Answer:

x=36

Step-by-step explanation:

2/3x-7=17

2/3x-7+7=17+7

2/3x=24

2/3x(3)=24(3)

2x=72

2x/2=72/2

x=36

Answer:

-15

Step-by-step explanation:the

Answer:

If it is simple interest then it is $24805

If it is a compound interest then it is $25113.38

Step-by-step explanation: