Question 3 (1 point)
Find the value of x for the right triangle.
15
30°
Х

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:

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:

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:

ab=ab+a

We need to check the following:

(ab)c=a(bc) or not

LHS

(ab)c=(ab+a)c

=(ab+a)c+(ab+a)

=abc+ac+ab+a

RHS

a(bc)=a(bc+b)

=a(bc+b)+a

=abc+ab+a

as LHS ≠ RHS, the operation is not associative

Step-by-step explanation:

Answer:

54 in³

Step-by-step explanation:

9×3×2 = 54 in³

_______

Answer:

999

Step-by-step explanation:

223 →  200 + 20 + 3

374 →  300 +  70 + 4

402 → 400 +    0 + 2

          900 + 90 + 9

standard form = 999

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:

a. po

sana po maka tulong

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: 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 :)

It's a kite or a rhombus.

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:

37.7 cm

Step-by-step explanation:

C = 2πr

2 · π · 6

≈ 37.7

Answer:

Step-by-step explanation:

Answer:

4096/27

Step-by-step explanation:

This is Exact Form

Answer:

9632 is the largest number

Answer:

(10x)^2

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:

[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:

8 times greater.

Step-by-step explanation:

Lengths are times 2 so:

Volume = 2^3 times greater

Answer:

8

Step-by-step explanation:

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:

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:

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:

The length would be 7 units

Answer:

i don’t know do it yourself

Step-by-step explanation:

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:

100/100

Step-by-step explanation:

XD

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:

75

Step-by-step explanation:

Answer:

a=36

Step-by-step explanation:

because look 0a=a

0a=36

a=36