1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
3 years ago
12

The Lacrosse booster club is holding a raffle for a fundraiser. They will sell 100 tickets for $5 each and select 4 winners. All

of the winners will win a giftcard to Chipotle. If every ticket is sold, in how many ways can the 4 winners be selected?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

<h2>There are 3,921,225 ways to select the winners.</h2>

Step-by-step explanation:

This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.

Combinations without repetitions are defined as

C_{n}^{r}  =\frac{n!}{r!(n-r)!}

Where n=100 and r=4.

Replacing values, we have

C_{100}^{4}  =\frac{100!}{4!(100-4)!}=\frac{100!}{4! 96!}=\frac{100 \times 99 \times 98 \times 97 \times 96!}{4! \times 96!}=  \frac{94,109,400}{24}= 3,921,225

Therefore, there are 3,921,225 ways to select the winners.

Additionally, as you can imagine, the probability of winning is extremely low, it would be 3,921,225 to 1.

You might be interested in
The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l
liq [111]

we know that

The formula of the surface area of the cone is equal to

SA=\pi r^{2}+\pi rl

where

SA is the surface area

r is the radius of the cone

l is the slant height

in this problem we have

SA=500\pi\ ft^{2}\\r=15\ ft\\l=?

Solve the formula for l

SA=\pi r^{2}+\pi rl\\ \\\pi rl=SA-\pi r^{2} \\ \\l=\frac{SA-\pi r^{2} }{\pi r}

substitute the values

l=\frac{500\pi -\pi 15^{2} }{\pi15}\\ \\l=\frac{275}{15}\ ft\\ \\l=\frac{55}{3}\ ft\\ \\l=18\frac{1}{3}\ ft

therefore

<u>the answer is</u>

The slant height is 18\frac{1}{3}\ ft

7 0
3 years ago
Read 2 more answers
Need help please and thanks​
madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Step-by-step explanation:

2. 63  = -3(1 - 2n)

Dividing both the side by negative 3 we get

-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1

7 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!<br><br><br> please ty<br><br> c:
Aleksandr [31]
Use the formula for the area of a triangle, and fill in the given information.
.. A = (1/2)*b*h
.. 36 in^2 = (1/2)*b*(9 in)
.. (72 in^2)/(9 in) = b . . . . . . . . multiply by 2, divide by 9 in
.. 8 in = b

The base is "none of the above", 8 inches.

_____
This question has a couple of problems:
.. 1) area is not measured in "inches"; it is measured in "square inches."
.. 2) ALL of the offered answer choices are INCORRECT.
4 0
3 years ago
9.Lawson will pay $612 to three different credit cards: Expert Card, Passport, and US Speedy. He will pay five times as much to
andre [41]

Answer:

$102

Step-by-step explanation:

We need to build a system of equations for this question.

I am going to call x the value Lawson will pay to Expert Card, y the value he will pay to passport and z the value he will pay to US Speedy.

He will pay $612 in all, so x+y+z = 612.

He will pay 5 times as much to Expert Card as US Speedy, so x = 5z.

The passport payment will be only 20% of the total of the other two payments. So y = 0.2(x+z).

Now we have the following system of equations:

1)x+y+z = 612

2)x = 5z

3)y = 0.2(x+z)

And we need to find y.

I will put 2) and 3) at 1). We end up with:

5z + 0.2(5z+z)+z = 612

5z + 1.2z + z = 612

7.2z = 612

z = $85

Knowing z, now we can find y at 3)

y = 0.2(x+z)

y = 0.2(5z+z)

y = 1.2z

y = 1.2(85)

y = $102

Lawson will pay $102 towards the passport credit balance.

4 0
2 years ago
On a 300 point standardized test, Luca earned 82% of the points. How many of the 300 points did Luca earn?
Zina [86]

Answer:

1. He earned 246

82% = 0.82

Move decimal right twice

82 x 300 is 24600

Move decimal left twice

= 246

2. 25

Solve for Y (Total Diamonds)

12 = 48% × Y

12 = \frac{48}{100} × Y

Y = 12 × \frac{100}{48}

Y = 12 × 100 ÷ 48

Y = 25

3.80.95%

Solve for "%"

% = 34/42

% = 0.8095 (rounded)

Convert decimal to percent using percent formula:

% = 0.8095 × 100 = 80.95%

5 0
3 years ago
Other questions:
  • 5.
    10·2 answers
  • The table represents a quadratic function that shows how a company's cost to manufacture an item depends on the total number of
    12·2 answers
  • Amy, since you know something about algebra, you can probably help me out with this. what is the value of x in the equation x2 +
    14·1 answer
  • How do I do this? <br><br>f(a)=4a+5; Find f(2)
    12·1 answer
  • Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg
    14·1 answer
  • You clean a community park for 6.5 hours. You earn $42.25. How much do you earn per hour?
    7·1 answer
  • HELPPPPP PLEASEEEEEE
    13·1 answer
  • Find the equation for the family of lines tangent to the circle with center at the origin and radius 3.
    6·1 answer
  • What is the surface area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a lengt
    5·2 answers
  • In the figure below, EC || AB. Find the length of EC.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!