A class of 30 students must elect a representative to go to a local
conference. They must also elect one alternate representative, in case the
first representative becomes ill or unable to go at the last minute.
How many different ways can the class elect a representative and
a
alternate?

Using the Central Limit Theorem, it is found that each random sample must have at least 10 parents supporting the change and 10 opposing.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For the test hpyothesis, two conditions are needed:

Hence each random sample must have at least 10 parents supporting the change and 10 opposing.

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Answer:

Step-by-step explanation:

arc EF=90-20=70°

arc FDA=20°

∠ABC==180-20=160°

Answer:

1) 27/125

2) 12/25

Step-by-step explanation:

3*3*3 = 27

3*5*4= 60, but simplified is 12/25

Answer:

quotient: 7084

remainder: 5

Answer:

13

Step-by-step explanation:

6+3 x 2-5+(7-1)

6+3 x 2-5+(6)

6+6-5+6

12-5+6

7+6

13

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

you can follow BODMAS rule where,

B= brackets

O= Order

D= Division

M= Multiplication

A= Addition

S= Subtraction

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

[tex] = 6 + 3 \times 2 - 5 + 6[/tex]

[tex] = 6 + 6 - 5 + 6[/tex]

[tex] = 12 - 5 + 6[/tex]

[tex] = 7 + 6[/tex]

[tex] = 13[/tex]

Answer:

Yes it is

Step-by-step explanation:

2/100 = 0.02

You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)

after u finish counting put a 0. in the left of of all the zeroes and the 2

Answer:

Step-by-step explanation:

I am assumimg you mean 5/9 and 16/5.

2 irrational numbers between these values are e and π.

Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Two rational numbers are,

⇒ 5 / 9 and 16 / 5

Now, We get;

⇒ 5 / 9 = 0.5555

⇒ 16 / 5 = 3.2

Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

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Answer

(1 - sin2x)/(sin - 1)

Step-by-step explanation:

tan225° = 1

sin270° = -1

Substitue these values and you get:

(1 - sin2x)/(sin - 1)

Hope this helps!

Answer:

A 1320

Step-by-step explanation:

22 x 60

1320

Answer:

9/36

Step-by-step explanation:

Given :1,2,3,4,5,6

first draw even probability 3/6=1/2

second draw even probability 3/6=1/2

1/2x1/2 or 3/6 x3/6= 1/4 or 9/36

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.  If the volume of the smaller solids is 320ft^3 and the volume of the larger solid is 1715 cubics in.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.

If the volume of the smaller solids is 320ft^3.

Since the solids are similar, the ratio of the surface areas is equal to the square of the scale factor, k.

Thus, k2 = 147 / 48 , or k = 49/16 = 7/4

The ratio of the volumes of the solids is equal to k3, which gives:

V / 320 = (7/4)^3

where V is the volume of the larger solid.

V = 320 x  (7/4)^3

= 1715 cubics in

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Answer:

7/15

Step-by-step explanation:

Answer:

1.) It's too small to be considered a planet.

2.)it did not meet the three criteria the IAU uses to define a full-sized planet.

Answer:

C 61

Step-by-step explanation:

Answer:

5.7×-1.2=-7.14

Step-by-step explanation:

+5.7(×)-1.3

+(×)- = -(it gives a negative answer)

so you multiply 5.7 and 1.3= 7.14

you just add a negative sigh to the ans

answer=-7.14

please consider a brainlest question

Answer:

So, cost of small size is $7 and cost of large size is $13.

Step-by-step explanation:

Let cost of each small size - x, cost of each large size - y

By the question,

3x + 14y = 203

11x + 11y = 220

From the first equation, we get,

3x + 14y = 203

or, 3x = 203 - 14y

so, x = (203 - 14y)/3

Substituting x's value in second equation :-

11x + 11y = 220

or, 11 { (203 - 14y)/3 } + 11y = 220

or, {2233 - 154y}/3 + 11y = 220

or, { 2233 -154y + 33y} = 660

or, 2233 - 121y = 660

or, 121y = 2233 - 660

or, 121y = 1573

so, y = 1573/121

so, y = 13

Now,

As we know,

x = (203 - 14y)/3

or, x = ( 203 - 14 × 13)/3

or, x = (203 - 182)/3

so, x = 21/3

so, x = 7

So, cost of small size is $7 and cost of large size is $13.

Answer:

3 cm

Step-by-step explanation:

The formula for the volume of a pyramid is :

Given

Solving

Answer:

[tex]t_{14}[/tex]= -27

Step-by-step explanation:

a = -1

 and d = -3 - (-1)

            = -2

Basically, [tex]t_{14}[/tex] = a + 13d

                     = -1 + 13 x (-2)

                     = -1 - 26

                     = -27

Answer:

2160

Step-by-step explanation:

12×4×3×5÷2×6

Multiply 12 and 4 to get 48.

2

48×3×5

​

×6

Multiply 48 and 3 to get 144.

2

144×5

​

×6

Multiply 144 and 5 to get 720.

2

720

​

×6

Divide 720 by 2 to get 360.

360×6

Multiply 360 and 6 to get 2160.

2160

Answer:

follow PEMDAS

that leaves multiplication as our first priority, division as our second.

[tex]12 * 4 = 48\\48 * 3 = 144\\144 * 5 = 720\\solve~2 * 6\\2 * 6 = 12\\now~resume\\12 / 720 = 60[/tex]

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 4000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (4000)(0.025)(4)\implies I=400[/tex]

If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.

84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82

The mean will be

N = 13

[tex]\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923[/tex]

Then the standard deviation will be

[tex]\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5[/tex]

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Step-by-step explanation:

x/15 = y/6

x = 15y/6

x/y = 15/6 = 5/2

Answer:

  (c)  4x + 2y = 14; x + y = 3

Step-by-step explanation:

The given equation will be the result of eliminating the y-variable from the system. When we do that for the different answer choices, we get ...

Add the two equations: (3x -y) +(x +y) = (15) +(7)  ⇒  4x = 22

Add the two equations: (x +3y) +(-x -3y) = (24) +(16)  ⇒  0 = 40

Subtract twice the second from the first.

  (4x +2y) -2(x +y) = (14) -2(3)  ⇒  2x = 8 . . . . the system we're looking for

Add the two equations: (2x +2y) +(-2x -2y) = (8) +(8)  ⇒  0 = 16

_____

Additional comment

When the equation reduces to 0 = constant, and "constant" is not zero, it means the system of equations has no solution. (The equations describe parallel lines.)

Answer:

Rewrite the equation into the form of "y=mx+b", plot the y-intercept (b), plot the x-intercept(s), then create the line.

Step-by-step explanation:

Example: 2x + y = 1

I hope this helps!

Answer:

200.5ft²

Step-by-step explanation:

According to my calculation this is the answer ..