If it is possible to label each element of an infinite set S with a finite string of keyboard characters, from a finite list characters, where no two elements of Shave the same label, then S is a countably infinite set. Use the above statement and prove that the set of rational numbers is countable.
A. We can label the rational numbers with strings from the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9,-) by writing down the string that represents that rational number in its simplest form. As the labels are unique, it follows that the set of rational numbers is countable.
B. We can label the rational numbers with strings from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,/,-) by writing down the string that represents that rational number in its simplest form. As the labels are unique, it follows that the set of rational numbers is countable.
C. We can label the rational numbers with strings from the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1) by writing down the string that represents that rational number in its simplest form. As the labels are unique, it follows that the set of rational numbers is countable.
D. We can label the rational numbers with strings from the set (1, 2, 3, 4, 5, 6, 7, 8, 9,/ -) by writing down the string that represents that rational number in its simplest form. As the labels are unique, it follows that the set of rational numbers is countable.

Answer:

please

Step-by-step explanation:

Answer:

       b

Step-by-step explanation:

bnbbn

Answer:

MAINTENANCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

You know two sides and the angle between them. Use the Law of Cosines to find the third side.

q = √(p²+r²-2pr·cosQ) ≅ 8.533 units

Use Heron's formula to find area

semi-perimeter s = (p+q+r)/2 ≅ 10.317 units

area = √(s(s-p)(s-q)(s-r)) ≅ 16.3 units²

Answer:

56 cm (22.4 in)

Step-by-step explanation:

14+14+14+14=56 or 14x4=56

Answer:

i think its b

Step-by-step explanation:

Answer:

x+60=100

Step-by-step explanation:

the 100 degree angle is the same as the 60 degree and x added together.

Answer:

5+k

Step-by-step explanation:

its saying jake is 5 MORE then kevin so either add or multiply.

Answer and Step-by-step explanation:

To convert degrees into radians, we multiply by [tex]\frac{\pi }{180}[/tex].

13.

40° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{2\pi }{9}[/tex]

14.

80° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{4\pi }{9}[/tex]

15.

100° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{5\pi }{9}[/tex]

16.

12° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{\pi }{15}[/tex]

These are the answers.

#teamtrees #PAW (Plant And Water)

Answer:

8

Step-by-step explanation:

Answer:

the answer is I LIKE YOUR CUT G

Step-by-step explanation:

your a bot at fortnite

Answer:

b. Substitute 8x+4 for y in the first equation.

Answer:

43.96

Step-by-step explanation:

Answer:

6,750 in.³

Step-by-step explanation:

The ice chest is a rectangular prism or a cuboid.

Volume of the ice chest = volume of rectangular prism = l*w*h

Where,

l = 30 in.

w = 15 in.

h = 15 in.

Volume = 30*15*15 = 6,750 in.³

Answer:

53.76 cm³

Step-by-step explanation:

1/2(4.8)(3.2)(7)=53.76

The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

Answer:

what are the following??

Step-by-step explanation:

Answer:

sorry dont know

Step-by-step explanation:

Answer:

t=4.3

Step-by-step explanation:

t=time and 4.3 is the time when the lines intercept on the graph

hope this helped

Answer:

400 cm

Step-by-step explanation:

100 centimeters in a meter.

4 * 100 = 400

Answer:

I would help but it is just black try to repost it and i will tell you what it is

Step-by-step explanation:

Answer:

9*9*9*9*9*9*9

Step-by-step explanation:

it's basically 9 multiply by itself for 7 times

Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!

Hope this helped you!

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

Answer:

x = 2.25 y =6

Step-by-step explanation:

Its a SCALE DRAWING with a factor of 3/4. Just multiply all the lengths of the first triangle by 3/4. 12 x 3/4 = 9    8 x 3/4 = 6   3 x 3/4 = 2.25

Hope this helped! If it did, please mark brainliest! It would help me out a lot! Thanks! :D

Answer:

a. P(X = 3) = 0.145736

b. P(5≤X≤9) = 0.5462

c. P(5<X<10) = 0.3332

d. P(X≥6) = 0.3393

e. P(X<5) = 0.4477

f. Mean = 4.8, Variance = 3.264

Step-by-step explanation:

Given - The same survey database cited in exercise 4.3.1 (A-5) shows

             that 32 percent of U.S. adults indicated that they have been

             tested for HIV at some point in their life. Consider a simple

             random sample of 15 adults selected at a time. Let X be the

             number of adults who have been tested for HIV in the sample.

To find - For the following, find the numerical answer and describe

              the answer in words:

              a. Three

              b. Between five and nine, inclusive

              c. More than five, but less than 10

              d. Six or more

              e. Less than five

              f. Find the mean and the variance of the number of people

                 tested for HIV in samples of size 15.

Proof -

Given that , n = 15, p = 32% = 0.32

Now,

a.

P(X = 3) = binomial distribution (3, 15, 0.32, 0)

             = [tex]\left(\begin{array}{ccc}15\\3\end{array}\right)(0.32)^{3}(1-0.32)^{15 - 3}[/tex]

             = 455(0.032768)(0.009774)

             = 0.145736

⇒P(X = 3) = 0.145736

b.

P(5≤X≤9) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

               = [tex]\left(\begin{array}{ccc}15\\5\end{array}\right)(0.32)^{5}(1-0.32)^{15 - 5}[/tex]+ [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]

               = 0.213 + 0.1671 + 0.1011 + 0.0476 + 0.0174

               = 0.5462

⇒P(5≤X≤9) = 0.5462

c.

P(5<X<10) = + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

                 =  [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]

               =  0.1671 + 0.1011 + 0.0476 + 0.0174

               = 0.3332

⇒P(5<X<10) = 0.3332

d.

P(X≥6) = 1 - P(X < 6)

           = 1 - P(X ≤ 5)

           = 1 - binomial(5, 15, 0.32, 1)

           = 1 - 0.6607

           = 0.3393

⇒P(X≥6) = 0.3393

e.

P(X<5) = P(X≤4)

           = binomial (4, 15, 0.32, 1)

           = 0.4477

⇒P(X<5) = 0.4477

f.

Mean = np

         = 15(0.32)

         = 4.8

⇒Mean = 4.8

Variance = np(1-p)

              = 15(0.32)(1 - 0.32)

              = 4.8(0.68)

              = 3.264

⇒Variance = 3.264

Answer:

te awnser is

Step-by-step explanation:

Answer:

10,20,30=20

5,10,1520=20

Step-by-step explanation:

Answer:

4 gallons 1 quart total ice cream

first you add the gallons and the quarts.

so, 2 gallons vanilla + 1 gallon chocolate is 3 gallons.

3 quarts vanilla + 2 quarts chocolate is 5 quarts.

4 of the 5 quarts are taken to make up another gallon.

so the answer is 4 gallons 1 quart total ice cream.

Answer:

-26

Step-by-step explanation:

sorry but from my calculations I didn't get any of the options I got -26

Answer: 743

Step-by-step explanation:

It's simple, by using a calculator it's 743.

(5433/8 = 743)

Answer: 743

sorry, don’t have sketch pad!