Fareda and Johnny have joined a book club. Fareda has already read 6 books pages and Johnny has already read 8 books. Each month, both students
read another 3 books. Complete the table to show the total number of books each has read after each month. Use the rule "add 3". Choose all the ordered
pairs that represent the number of books Fareda and Johnny have read.
(9,11)
(11.14)
(15,17)
(18,20)
(20,22)

Answer:

A 11.1%

Step-by-step explanation:

The students are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question, we have that:

13 + 7 = 20 teachers, which means that N = 20.

7 history teachers means that k = 7.

Two teachers for each student, which means that n = 2.

What is the approximate probability that a random student on the trip will be assigned to a group led by two history teachers?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,2,7) = \frac{C_{7,2}*C_{13,0}}{C_{20,0}} = 0.1105[/tex]

So close to 11.1%, and the correct answer is given by option A.

Answer: 11.1%

Step-by-step explanation: Correct on Edmentum

Answer:

100/100

Step-by-step explanation:

XD

Answer:

8 times greater.

Step-by-step explanation:

Lengths are times 2 so:

Volume = 2^3 times greater

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius=diameter/2

13/2

6.5

circumference of a circle=2πr

=2*3.14*6.5

=40.82 feet

=

Answer:

40.84

Step-by-step explanation:

2x3.14x6.5=40.84

Answer:

15 ÷ 1/3

Step-by-step explanation:

Quotient means division

15 ÷ 1/3

Answer:

15÷1/3

Step-by-step explanation:

Hope this helps!

Have a lovely day!

Answer:

591.5

Step-by-step explanation:

You're rounding so yeah this was simple

Answer:

591.5 because the tenth place is after the . and the number after it is what you use to round it if it larger then 5 the number in the tenth place goes up one and if it's under 5 it stays the same

Answer:

Step-by-step explanation:

4/5a*3/2a^2

4*3/5a*2a^2

12/10a^3

6/5a^3

therefore ur answer is 6/5a^3

Answer:

option 3

Explanation :

9.

          [tex]\frac{4}{5a} \cdot \frac{3}{2a^2} = \frac{12}{10 a^3} = \frac{6}{5a^3}[/tex]

Answer:

See work below.

Step-by-step explanation:

[tex](k-9)^2=(k-9)(k-9)\\=k^2-2(k)(9)+9^2\\=k^2-18k+81[/tex]

Answer:

You would have $1552.9 after 10 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

You currently have $500 saved up.

This means that [tex]P = 500[/tex]

12% interest, compounded annually.

This means that [tex]r = 0.12, n = 1[/tex].

How much money would you have after 10 years?

This is A(10). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(10) = 500(1 + \frac{0.12}{1})^{10}[/tex]

[tex]A(10) = 1552.9[/tex]

You would have $1552.9 after 10 years.

Answer:

Step-by-step explanation:

Answer:

4096/27

Step-by-step explanation:

This is Exact Form

Answer:

i don’t know do it yourself

Step-by-step explanation:

Answer: 6.25 yards

Step-by-step explanation:

75 inches = 4 bows

To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.

75*3 is 225.

225 inches = 12 bows

225 inches is 6.25 yards. Hope this helps :)

Answer:

D. 14 Please mark as brainliest!

Answer:

14

Step-by-step explanation:

Answer:

y = -27 when x = 9 and z = -3

Step-by-step explanation:

y = kxz is the joint variation where k is a constant

Substitute the knowns in to find k

-50 = k( -10)(5)

-50 = -50k

k = 1

y = xz

Now find y

y = 9*-3

y = -27 when x = 9 and z = -3

Answer:

9632 is the largest number

The question is incomplete. The complete question is :

I. Determine the missing term/s in the given number sequence and equation. Write the letter of your answer on the blank provided.

1.)91,  , ___, 61 A. 79, 67,  B. 78, 63,  C. 77, 66 ,  D. 76,69  2.) 38, 46,  

, 62, 78 A. 54, 72 B., 54, 70 C. 50, 72, D.50, 74 3.)34, 39, ___, 54, 59A. 49, 44B.45, 49C.44,49D. 40,55 4.) 15, 30, ___, 60,A. 45, 75 B.40, 70C. 15, 70D.15,60 5.） 829 x = 829A. 1 B.3 C.5 D. 7

Answer :

1. Choose A,   2. Choose B,    3. Choose C,   4. Choose A,  5. Choose A

Explanation :

1. 91, 85, __, 73, __, 61

  We see that each number has a difference of 6. Therefore, 91 minus 6 is 85. 85 minus 6 is 79, 79 minus 6 is 73, 73 minus 6 is 67, 67 minus 6 is 61.

Therefore, the missing numbers are :

91, 85, 79, 73, 67, 61

So, choose A.

2. 38, 46, __, 62, __, 78

We see that each number has a difference of 8. So, 38 plus 8 is 46, 46 plus 8 is 54, 54 plus 8 is 62, 62 plus 8 is 70, 70 plus 8 is 78.

Therefore, the missing numbers are :

38, 46, 54, 62, 70, 78

So, choose B

3. 34, 39, __, __, 54, 59

We see that each number has a difference of 5. So, 34 plus 5 is 39, 39 plus 5 is 44, 44 plus 5 is 49, 49 plus 5 is 54, 54 plus 5 is 59.

Therefore, the missing numbers are :

34, 39, 44, 49, 54, 59

So, choose C

4. 15, 30, __, 60, __.

We see that each number has a difference of 15. So, 15 plus 15 is 30, 30 plus 15 is 45, 45 plus 15 is 60, 60 plus 15 is 75.

Therefore, the missing numbers are :

15, 30, 45, 60, 75.

So, choose A.

5. 829 x __ = 829

  ∴ 829 x 1 = 829

So, choose A.

Answer:

Step-by-step explanation:

4a-6ab-18ac

=2a(2-3b-9c)

The required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

In mathematics,  factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

The given equation is,

4a-6ab-18ac​

So factorising each term we have,

4a = 2*2*a

6ab = 2*3*a*b

18ac = 2*3*3*a*c

Thus the equation becomes,

4a-6ab-18ac​ = 2*2*a - 2*3*a*b - 2*3*3*a*c

taking 2*a common we get,

4a-6ab-18ac​ = 2a(2 - 3b - 3*3*c)

or, 4a-6ab-18ac​ = 2a(2 - 3b - 9c)

which is the the required factorisation of the equation.

Thus, the required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

To learn more about factorisation:

https://brainly.com/question/20293447

#SPJ2

Answer:

12.56

Step-by-step explanation:

First of all, pi = 3.14

Diameter=4

Radius=2

3.14×[tex]2^{2}[/tex]

So,

3.14 × 4 =

12.56

Hope this helps!! (Hope I did this in time!!)

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  [tex]\pi*r^2[/tex]

Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:

A = 3.14 * 2² ==>      A = 3.14 * 4   ==>   A = 12.56     (A is Area)

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

i am estimating x = 6 2/3

since 5+4 = 9

9-3 = 6

so about 6 2/3?

i think

Answer:

x = 6 2/3

Step-by-step explanation:

The product of the segments are equal

x * 3 = 5 * 4

x * 3 = 20

divide both sides by 3

x = 20/3

x = 6 2/3

Answer:

with times hight

Step-by-step explanation:

multiply with and hight together to get a full lay out of the prisms and if the are halves i usauly add them together to form one unite hope this help and that were on the same page

Answer:

To use a unit cube, you have to multiply the length and the width just like finding the area of a 2D shape. You will then take your "area" and multiply that by the height of the object.

Step-by-step explanation:

Example, if I have a rectangular prism that is 10 inches long, 4 inches wide, and 6 inches tall, I can multiply 10 and 4 to get 40. I will then take the 6 inches, and multiply it to 40. 40x6=240. The volume of my prism is 240.

I would also like to point out that you can multiply the factors in any order because of the commutative property

Answer:

515

Step-by-step explanation:

Answer:

The length would be 7 units

Answer:

[tex]f'(x) = -28 \ at \ x = 2[/tex]

Step-by-step explanation:

[tex]f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\[/tex]

       [tex]= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28[/tex]

Answer:

Is can

Is can

1 is the answer

Step-by-step explanation:

But what’s the name of that topic?

Answer:

Is can

Is can

1 is the answer

Step-by-step explanation:

Answer:

37.7 cm

Step-by-step explanation:

C = 2πr

2 · π · 6

≈ 37.7

Answer:

Actual Sales  |    Predicted Sales   |   Residual

       $                            $                              

      17            |       16                     |   1

      29           |      30                     |  -1

    34            |       34                     |   0

     33            |       34                     |   -1

    22            |       24                     |  -2

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

hope it helps..

have a great day!!

It's a kite or a rhombus.

Answer:

(10x)^2

Step-by-step explanation: