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?

Answers

Answer 1

Answer:

870.

Step-by-step explanation:

There are 30 choices of representatives. This leaves 29 choices for alternate representatives.

If one person gets elected for representative, there are 29 choices for an alternate representative.

This is the case if any of the 30 students get elected as representatives.

That means you can set it up as:

x*y where x is the choice of representatives and y is the choice of alternate representatives.

30 * 29, or 870.

Here is a visual example. Students a - dd are shown here.

a b c d e f g h i j k l m n o p q r s t u v w x y z aa bb cc dd

In this case, a has been chosen as class president. Any of the other 29 students could be a alternate, and then paired with a. This makes 29 total possible pairings. This is then repeated for the possibility of every student becoming a president, which creates 30*29.

Please tell me if this is wrong, I will try to make changes!


Related Questions

Solve this and get points please . :)

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

And try Ur best , remember to work at a good pace and take Ur time.

Answers

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

given:

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

solution:

you can follow BODMAS rule where,

B= brackets

O= Order

D= Division

M= Multiplication

A= Addition

S= Subtraction

let's solve:

[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]

Nile’s places £4000 in a bank account that pays 2.5% simple interest per year how much interest will he earn in 4 years

Answers

[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]

This triangular prism is 22 inches tall and has a base with an area of 60 square inches. What is the volume of the prism?
ANSWER CHOICES:
1320 cubic inches
82 cubic inches
660 cubic inches
729,000 cubic inches
ANSWER QUICKLY

Answers

Answer:

A 1320

Step-by-step explanation:

22 x 60

1320

A used car lot sold 12 minivans last month, along with 54 other vehicles. Considering this data, how many of the next 77 vehicles sold should you expect to be minivans?

47 points and brainiest to the answer!

Answers

Total cars 12+54 = 66
Find percentage of minivans.
12/66 = 0.1818 or ~18%

~18% of 77
77* 0.1818 = 13.999 ~ 14 rounded

10. A triangular pyramid has a volume of 60 cubic centimeters. The
triangular base has a 12-centimeter base and a 5-centimeter height. Find the
height of the pyramid.
Explain

Answers

Answer:

3 cm

Step-by-step explanation:

The formula for the volume of a pyramid is :

V = [tex]\frac{Ah}{3}[/tex]

Given

Volume = 60 cm³Base Area = 12 cm x 5 cm = 60 cm²

Solving

60 = 60 x h x 1/360 = 20hh = 60/20 = 3 cm

is 2/100the fractional form of 0.02??

Answers

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

Jason has two bags with 6 tiles each. The tiles in each bag are shown below:

Six squares are numbered sequentially from 1 to 6.

Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing an even tile from the first bag and an even tile from the second bag?

6 over 12
9 over 12
6 over 36
9 over 36

Answers

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

Spongebob and Patrick are selling kelp fries to fundraise for new jellyfishing nets. They sold
small and large sizes. Spongebob sold 3 small fries and 14 large fries for a total of $203.
Patrick sold 11 small fries and 11 large fries for a total of $220. Find the cost of each size of
fries.
a

Answers

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.



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 population standard deviation of these data is approximately

(1) 3. 5

(3) 79. 7

(2) 13

(4) 80

Answers

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

What is a standard deviation?

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]

More about the standard deviation link is given below.

https://brainly.com/question/12402189

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Find the 14th term in the following sequence: -1, -3, -5, -7, ..​

Answers

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

Please solve this equation

Answers

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!

Could I get some help on this?

Answers

Answer:

200.5ft²

Step-by-step explanation:

According to my calculation this is the answer ..

Find two irrational numbers between 5 9 and 16 5

Answers

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....

What is Rational number?

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....

Learn more about the rational numbers visit:

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3/5•3/5•3/5=?
3/5•5/5•4/5=?
Please?

Answers

how you multiply fractions

3 • 3 • 3 / 5 • 5 • 5
27/125

3 • 5 • 4 / 5 • 5 • 5
60/125
simply if needed
12/25

it’s very simple you’re welcome fellow learner :)

Answer:

1) 27/125

2) 12/25

Step-by-step explanation:

3*3*3 = 27

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

I NEED HELP PLSS I HAVE NOO TIME LEFT

Answers

Step-by-step explanation:

x/15 = y/6

x = 15y/6

x/y = 15/6 = 5/2

. A set of trading cards sells for $8.95
before tax. After sales tax, it costs
$9.60. What is the sales tax rate?

Answers

7.3% is the sales tax rate

16. The ordered pairs below represent a linear
function.
(2,64), (14,77), (x, y)
Which values could be the values of x and y?

Answers

In the difference between the first and second pair it seems 12 was added to the x and 13 to the y so if we repeat that we get (26,90)

Why is Pluto not a planet? Give at least 2 reasons why it was moved to a dwarf planet status.

Answers

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.

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle

Answers

C keep it up bro love you or d or b or a

How do we most easily graph an equation in the form Ax+By=C? Explain, and use at least one example.

Answers

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

Rewrite: y = -2x + 1Plot y-intercept: (0, 1)Plot x-intercept: (1/2, 0)Draw line

I hope this helps!

Between 1966 and 1976 by what percentage did the average number of passengers per aircraft increase?

A 38

B 58

C 61

D 137

Answers

Answer:

C 61

Step-by-step explanation:

Subtract. Write your answer in lowest terms.

Wirte the working steps​

Answers

Answer:

7/15

Step-by-step explanation:

First, find the common denominatorHere it’s 5 * 3, which is 15You times 5 by 3 to get 15, so times the 4 by 3 as well to make sure that the fraction is equivalent4/5 now becomes 12/15Now for 1/3You times 3 by 5, so times 1 by 5This gives 5/15Just subtract the numerators now since they now have the same denominator12/15 - 5/15 = (12-5)/15 = 7/15

Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 2x = 8.
Which of the following systems could have led to this equation?
3x - y = 15
x + y = 7
x + 3y = 24
- x - 3y = 16
4x + 2y = 14
x + y = 3
2x+2y = 8
- 2x - 2y=8

Answers

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 ...

a

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

b

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

c

Subtract twice the second from the first.

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

d

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.)

A school district is considering a change that would involve switching the daily start times for its elementary and
high schools. Administration wants to take a sample of parents from each type of school and perform a two-
sample test to see if the proportion who support the change is significantly different between the two groups.
Which of the following are conditions for this type of test?

Answers

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

What does the Central Limit Theorem state?

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:

Random samples.The sampling distribution must be approximately normal.

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

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)

Answers

First one is 70 degrees

Answer:

Step-by-step explanation:

arc EF=90-20=70°

arc FDA=20°

∠ABC==180-20=160°

-10(x – 7) – 3x simplified

Answers

-13x + 70 is the answer .

5.7 times -4.2. step by step

Answers

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

what is the quotient and remainder for 56,677 divided by 8

Answers

708 is quotient and remainder is 3

Answer:

quotient: 7084

remainder: 5

Two similar solids have a surface areas of 48ft^2 and 147ft^2 respectively. If the volume of the smaller solids is 320ft^3, what is the volume of the larger solid?

Answers

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.

What is a triangle?

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

Learn more about volume;

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what do 12x4x3x5÷2×6 30 points and brainliest.

Answers

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

parentheses not included in this problemexponents not included in this problemmultiplicationdivisonaddition not included in this problemsubtraction not included in this problem

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]

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